Question
Oblems 56356_1{_alo4i Eva uate #ke kltowng_Kbgel ; 8 <_x (Cans ) : 3 si' t3x)+c) 1-9*727 _ 2 dx Jran? 82e* -24x+C
oblems 5 6356_1{_alo 4i Eva uate #ke kltowng_Kbgel ; 8 <_x (Cans ) : 3 si' t3x)+c) 1-9*7 27 _ 2 dx Jr an? 82e* -24x+C
Answers
$19-38$ Evaluate the integral.
$$\int_{1}^{2} \frac{v^{5}+3 v^{6}}{v^{4}} d v$$
Given that we know the integral from 0 to 9 is 37 0 to 9 of G of X is 16 then we want to evaluate this whole expression down here. Basically, you can always add to integral separately. So let's put a plus between these and then the other thing is we want to go ahead and multiply this by a factor of two, which we could just multiply out front, the integral of ffx and same thing with the integral on the right side. Here, let me just move this over and let's go ahead and put a three as a factor there, since that is multiplied by three in front of the integral of G of X. So basically two times all of this is the same thing as just two times 37. So to evaluate this, it's just going to be two times 37 waas three times. All of this is the same thing as three times 16. And when we simplify these two down that wind up giving us a total value of 122. Therefore, the Senate girl here combination of both with the extra factors there evaluates to 122
In Triangle. Okay, 4.5 time. Take you negative. Three point four times the Squire for the two two upon five t DT. And here is all limits. 02 two. So in this occasion, we have to evaluate the intrigue. So here we know that you can write like that. 4.5 and regal TQ DT 0 to 2. Negative 3.4 Androgel t to the power to DT 0 to 2. Plus to a 0.5 into you. B DT, 0 to 2. So here we know that. Okay, Okay. Okay. Okay. In Kriegel X to the power and D X equal to X to the power and plus one upon and plus one plus c. So we apply the formula here and we get 4.5. No, you have to interrogate X two state of the Powell three. So here we get due to the power four upon four and limited 0 to 2. Negative. 3.4. The incredible of P square, which is do you give up on three. 0 to 2 plus two upon five. Here in riddle of T, which is these quiet upon to 0 to 2. So Now you can see that when you put the limits. So here. 5.4 point 5. 34.5. Yeah, Due to the power for upon for negative zero to the power fall upon four negative. 3.4 A parliament is too. So we put here due to the power three upon three. Negative zero to the power three upon three Father too. Two upon five. Due to the power to upon to negative zero to the power to upon to No, we simplify this. So here we get 4.5. All right, four negative. 3.4. And upon three plus for a bone wife. No, we get 16.5 Negative. Two plus four upon five. No, we simplify this and we get after taking least common denominator which is 20. Here is 64 negative, 40 plus 16. So here we get So here we get to It is our violence
Institution we have to find the value of integration that is from -1 to 2 F X. D X. And we have given that Integration to 24 and this is seven minus F X. B x is equal to seven. Now I'm going to integrate this so this will comes out to be seven X. And this is from 2 to 4 Minour, this is integration to 24 fx DX. And this is equal to seven. Now Simplify this and this will comes out to be seven in two to minus, this is 2-4 affects the X is equal to seven. So from here we get the value of so before fx BX. And this bill comes out to be seven. Now we have given that -1-4 affects DX is equal to four. So I'm going to write it That -1-2 affects dx Plus this can be written as from 2 to 4 fx. This will given to us that is for the X is equal to fall now for the value of this function, so this will comes out to be -1-2, affects dx, this is seven is equal to four, or I can say -1 to affects DX will be minus three, so this is the answer of our given to shin, and for that option is the characters work. Thank you.
What a given indication we have. And there is an official. The power forty is the fourth one, divided by four plus one minus one by two. Integration of excuse every year to the three plus one, divided by three plus one plus one by four. After the power one plus one, he went up by one plus one minus two into X plus c. This is a call to shift on the part. Fight by fight minus one. My eight back to the passport. That's one by eight X square. My next two weeks plus C.