1

Evaluate the integrals. Remember to include a constant of integration with the indefinite integrals. Your answers may appear different from those in the Answers sec...

Question

Evaluate the integrals. Remember to include a constant of integration with the indefinite integrals. Your answers may appear different from those in the Answers section but may still be correct. For example, evaluating $I=\int \sin x \cos x \, d x$ using the substitution $u=\sin x$ leads to the answer $I=\frac{1}{2} \sin ^{2} x+C ;$ using $u=\cos x$ leads to $I=-\frac{1}{2} \cos ^{2} x+C$ and rewriting $I=\frac{1}{2} \int \sin (2 x) d x$ leads to \,$I=-\frac{1}{4} \cos (2 x)+C$ These answers are

Evaluate the integrals. Remember to include a constant of integration with the indefinite integrals. Your answers may appear different from those in the Answers section but may still be correct. For example, evaluating $I=\int \sin x \cos x \, d x$ using the substitution $u=\sin x$ leads to the answer $I=\frac{1}{2} \sin ^{2} x+C ;$ using $u=\cos x$ leads to $I=-\frac{1}{2} \cos ^{2} x+C$ and rewriting $I=\frac{1}{2} \int \sin (2 x) d x$ leads to \,$I=-\frac{1}{4} \cos (2 x)+C$ These answers are all equal except for different choices for the constant of integration $C$ : $\sin ^{2} x=-\frac{1}{2} \cos ^{2}+\frac{1}{2}=-\frac{1}{4} \cos (2 x)+\frac{1}{4}$ $\sum_{i=1}^{100}$ You can always check your own answer to an indefinite integral by differentiating it to get back to the integrand. This is often easier than comparing your answer with the answer in the back of the book. You may find integrals that you can't do, but you should not make mistakes in those you can do because the answer is so easily checked. (This is a good thing to remember during tests and exams.) $$\int \frac{\sin ^{2} x}{\cos ^{4} x} d x$$



Answers

The integrals in Exercises $1-40$ are in no particular order. Evaluate
each integral using any algebraic method or trigonometric identity
you think is appropriate, and then use a substitution to reduce it to a
standard form.
$$
\int_{-1}^{1} \sqrt{1+x^{2}} \sin x d x
$$


Similar Solved Questions

5 answers
Alculate the sum of the infinite series 72 +60+ 50 + 125 3 0489 0432 0360 0307
alculate the sum of the infinite series 72 +60+ 50 + 125 3 0489 0432 0360 0307...
5 answers
Solve the _following problems:Problem 1Consider the following set of points: {(-2 , -1) , (1 1) , (3 , 2)}a) Find the least quare reg ession line for the given data points6) Plot the given points and the regression line in the same rectangular system of axes fProblem 2a) Find the least square regression line for the following set of data {(-1 , 0).(0 , 2).(1 . 4)(2 , 5)}6) Plot the given points and the regression line in the samne rectangular system of axes.
Solve the _following problems: Problem 1 Consider the following set of points: {(-2 , -1) , (1 1) , (3 , 2)} a) Find the least quare reg ession line for the given data points 6) Plot the given points and the regression line in the same rectangular system of axes f Problem 2 a) Find the least square ...
5 answers
How mianly males GTHE cculd be >roduced Trom: #e reactian cf 0.80 mol SF4? 2741 4283c24HFMu Ine CjoO80 melmcl48T4121437549t
How mianly males GTHE cculd be >roduced Trom: #e reactian cf 0.80 mol SF4? 274 1 428 3c2 4HF Mu Ine Cjo O80 mel mcl 48T4 1214 37549t...
5 answers
Determine if the vector U is in the column space of matrix A and whether it is in the null space of A2 '4 = [- 3 9] ~3
Determine if the vector U is in the column space of matrix A and whether it is in the null space of A 2 '4 = [- 3 9] ~3...
5 answers
Find the domain of the function:1r(t) =V1 -2t V1 2t
Find the domain of the function: 1 r(t) = V1 -2t V1 2t...
1 answers
Write the logarithmic equation in exponential form. For example, the exponential form of $\log _{5} 25=2$ is $5^{2}=25$. $$\log _{7} \frac{1}{49}=-2$$
Write the logarithmic equation in exponential form. For example, the exponential form of $\log _{5} 25=2$ is $5^{2}=25$. $$\log _{7} \frac{1}{49}=-2$$...
1 answers
Give the equation for the Laplace transform of (t) = 0.5t (tZ 0) (g(t) = 0 (t < 0)). This Laplace transform is the differential equation of the above system, right? If not, what is it?
Give the equation for the Laplace transform of (t) = 0.5t (tZ 0) (g(t) = 0 (t < 0)). This Laplace transform is the differential equation of the above system, right? If not, what is it?...
5 answers
Twjjimurt AxrnoIntne JJme drerucr adijcent ponlld corndons 4umc dltnbuicd Ath mean Ind gancard O labonsisand restuychyteiirt Jimjr Jnn] ofthepfthenormai distnbutedKrcuro Je latonono Bart-Galo nommallUSE SALTIunanieneErceneilileralAlaidnvr? FneeenrentanasaucneInetecaney MAAE Vog AmsaciAeSmA Dane(6] Derermineexcbatilit rarCane?{edarateeat es 10 km aiter ?(RELnOansoer [0 Icl decima 4aces ]MarhaJoncatctGdt da Gotiieannerty CceotNeed Help?
Twjjimurt AxrnoIntne JJme drerucr adijcent ponlld corndons 4umc dltnbuicd Ath mean Ind gancard O labonsisand restuychy teiirt Jimjr Jnn] ofthe pfthe normai distnbuted Krcuro Je laton ono Bart- Galo nommall USE SALT IunanieneErceneilileralAlai dnvr? Fneeenrentanas aucne Inetecaney MAAE Vog Amsaci Ae...
5 answers
The pitch of a roof is defined as $ rac{ ext { rise }}{ ext { rafter }}$a. Determine the pitch of the roof shown.b. Determine the slope of the line segment from point $D$ to point $E$
The pitch of a roof is defined as $\frac{\text { rise }}{\text { rafter }}$ a. Determine the pitch of the roof shown. b. Determine the slope of the line segment from point $D$ to point $E$...
1 answers
Match the equation with one of the figures ( $a$ ) - ( $d$ ), which follow. (GRAPH CANNOT COPY). $$g(x)=|\ln (x-1)|$$
Match the equation with one of the figures ( $a$ ) - ( $d$ ), which follow. (GRAPH CANNOT COPY). $$g(x)=|\ln (x-1)|$$...
5 answers
3 mlhl_of Iadscel skU_ Ll_#b Volome 0f Solid gehefabel talsiay tk 0ej'o4 bovdel_bd di ten_Cucres anl Co teticy abovt LLS aif , Gice 0n Uxact @nfwa_Iatefn? J" 92 XiLXalYKol vlon rhe Sol} d ~JQecabe l by_talsgg th_Byia_bovndel_lytl_Jiken cief_aal totubiay it_ahoot lise_yz LlRound LVboc_anfwc_ato deciads_ y= %z J=%
3 mlhl_of Iadscel skU_ Ll_#b Volome 0f Solid gehefabel talsiay tk 0ej'o4 bovdel_bd di ten_Cucres anl Co teticy abovt LLS aif , Gice 0n Uxact @nfwa_Iatefn? J" 92 XiLXal YKol vlon rhe Sol} d ~JQecabe l by_talsgg th_Byia_bovndel_lytl_Jiken cief_aal totubiay it_ahoot lise_yz LlRound LVboc_anfw...
5 answers
Organize using the table provided the information on the typesof fungicides Types of fungicidesMecanismExamples
Organize using the table provided the information on the types of fungicides Types of fungicides Mecanism Examples...
5 answers
Elempts ehCheck my workMaL Khepercent yield of B in # reaction that usex 30.0 g of starting prk7 9 g ofiayAna An actual yield of 14.7 g of B?preticuyield
elempts eh Check my work MaL Khepercent yield of B in # reaction that usex 30.0 g of starting prk7 9 g ofiayAna An actual yield of 14.7 g of B? preticuyield...
5 answers
Find the point of diminishing returns (x, y) for the functionR(x) = 15000−2x3+72x2+ 700x, where R(x)represents revenue (in thousands of dollars) and x≥0 represents theamount spent on advertising (in thousands of dollars).
Find the point of diminishing returns (x, y) for the function R(x) = 15000−2x3+72x2+ 700x, where R(x) represents revenue (in thousands of dollars) and x≥0 represents the amount spent on advertising (in thousands of dollars)....
5 answers
PO nts) Sally hasof S16000 that she invests 1296 com pounded monthly: Wha: oqu! Month payments can she racelve Ovor ponodYoars? Anewor A458R37 rada?anetner
pO nts) Sally has of S16000 that she invests 1296 com pounded monthly: Wha: oqu! Month payments can she racelve Ovor ponod Yoars? Anewor A458R37 rada? anetner...
5 answers
IRoterangeHzN_OH4-aminobutanoic acid 2-aminohexanoic acid 0 2-aminopentanoic acid 3-aminobutanoic acid 2-aminobutanoic acidaminobutanoic acidCOOH pentanoic acid butyric acid caproic acid valeric acidbutanoic acidhexanoic acidpropanoic acid propionic acidSubmit AnsworTry Anothor VarsionItem attempts romaining
IRoterange HzN_ OH 4-aminobutanoic acid 2-aminohexanoic acid 0 2-aminopentanoic acid 3-aminobutanoic acid 2-aminobutanoic acid aminobutanoic acid COOH pentanoic acid butyric acid caproic acid valeric acid butanoic acid hexanoic acid propanoic acid propionic acid Submit Answor Try Anothor Varsion Ite...

-- 0.019075--