## Question

## Answers

#intx/(1+x^4)dx = 1/2tan^(-1)(x^2) + C# ## Explanation:

Given that

#int1/(x^2+1)dx = tan^(-1)(x) + C# we will proceed by substitution.

Let

#u = x^2 => du = 2xdx# Then

#intx/(1+x^4)dx = 1/2int1/(1+(x^2)^2)*2xdx#

#= 1/2int1/(1+u^2)du#

#= 1/2tan^(-1)(u) + C#

#= 1/2tan^(-1)(x^2) + C#

#### Similar Solved Questions

1 answers

##### Consider the decomposition of a metal oxide to its elements, where M represents a generic metal....

Consider the decomposition of a metal oxide to its elements, where M represents a generic metal. AG°(kJ/mol) M20,($) = 3M(s) + 20 (8) Substance M304(s) Ms) O2(g) -7.30 0 0 What is the standard change in Gibbs energy for the reaction, as written, in the forward direction? AG;xn = kJ/mol What is t...

1 answers

##### 2. Miller Manufacturing has a capital structure of 50% common stock, 5% preferred stock, and 45%...

2. Miller Manufacturing has a capital structure of 50% common stock, 5% preferred stock, and 45% debt. It just issued a dividend of $1.22 per share on its common stock. Dividends are expected to grow at a constant rate of 5%. Current common stock price is $45. Cost of preferred stock is 7.5% and bef...

1 answers

##### Calculate the pressure exerted by 1.0 mol C2H6 behaving as a perfect gas

Calculate the pressure exerted by 1.0 mol C2H6 behaving as a perfect gas...

1 answers

##### Quiz: Chapter 8 Quiz Time Remaining: 00:59:19 Submit Quiz This Question: 1 pt 1 of 6...

Quiz: Chapter 8 Quiz Time Remaining: 00:59:19 Submit Quiz This Question: 1 pt 1 of 6 (1 complete) This Quiz: 6 pts possible EQuestion Help Examine the given statement, then express the null hypothesis Ho and the alternative hypothesis H1 in symbolic form. The mean weight of women who won a beauty pa...

1 answers

##### 91% 11:51 AM Fri Nov 1 <Back * BE 1300 Basic Engineering Il-Homework 7-1.pdf BE 1300...

91% 11:51 AM Fri Nov 1 <Back * BE 1300 Basic Engineering Il-Homework 7-1.pdf BE 1300 Basic Engineering II: Materials Science for Engineering Applications Homework 7 Q1. (20 points). Experimentally, it has been observed for single crystals of a number of metals that the critical resolved shear str...

1 answers

##### All else equal, how does a decrease in a depreciation schedule ( a 6-year schedule to...

all else equal, how does a decrease in a depreciation schedule ( a 6-year schedule to a 4-year schedule) affect NPV when a tax rate of 30%? a. not enough info. b. no NPV impact c. Increases NPV d. Decrease in NPV...

1 answers

##### Please help, I have re worked this problem and I keep getting mixed solutions.Please write clearly...

Please help, I have re worked this problem and I keep getting mixed solutions.Please write clearly Extra Credit: There will be no partial credit. Answers must be correct. (10 pts) Show how you would accomplish the following synthetic conversion starting with ethanol as the only source of organic ca...

1 answers

##### A single stock futures contract on a non dividend-paying stock with current price $120 has a...

A single stock futures contract on a non dividend-paying stock with current price $120 has a maturity of three years. If the T-bill rate is 2.5%, what should the future price be? Round your answer to two decimal places....

1 answers

##### Physical Chemistry A gas is well described with the following equation of state P = RT/V...

Physical Chemistry A gas is well described with the following equation of state P = RT/V - b - a/squareroot T 1/V (V + b) where a = 452.0 bar.dm^6.mol^2.K^1/2 and b = 0.08217 dm^3.mol^-1. If 1.14 moles of the gas have a volume of 2L at 685K, calculate: 1- the pressure of the gas using the provide...

1 answers

##### Need Help on the last part of the question. The amount increase in the operating income...

Need Help on the last part of the question. The amount increase in the operating income if they choose one component to advertise....

1 answers

##### Toyota Corp.'s stock price has a variance of returns equal to 0.0295. Honda Corp.'s stock price...

Toyota Corp.'s stock price has a variance of returns equal to 0.0295. Honda Corp.'s stock price has a variance of returns equal to 0.0505. The covariance between Toyota and Honda is 0.0675. What is the standard deviation of a portfolio consisting of 50% Toyota and 50% Honda?...

1 answers

##### B) Find the Thèvenin equivalent circuit across a and b for the circuit given in Figure8....

b) Find the Thèvenin equivalent circuit across a and b for the circuit given in Figure8. c) The variable resistor RL in Figure 8 is adjusted for maximum power transfer to RL What is the value of RL when maximum power transfer occurs? d) What percentage of the total power developed in the circ...

1 answers

##### Sieno Homework: Assignment 3 Score: 0 of 1 pt Save TS - HW Score: 22.22% 2...

sieno Homework: Assignment 3 Score: 0 of 1 pt Save TS - HW Score: 22.22% 2 of 9 pts 2.CE.27 Question Heln 1 An agency recently surveyed people from different countries asking them "How important is acquiring wealth to you? The percent who responded that it was more than average importance were: ...

1 answers

##### What is the issue of preference in servant leadership model?

What is the issue of preference in servant leadership model?...

1 answers

##### Are these answers correct? 7/30/20 Lab-Assignment 20 Wave Speed Discussion Wave speed is how fast distance...

are these answers correct? 7/30/20 Lab-Assignment 20 Wave Speed Discussion Wave speed is how fast distance is propagated through. Frequency is how fast cycles are completed Wave speed is calculated as the space propagated through divided by time. Questions The number of cycles completed in a giv...

1 answers

##### Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R =...

Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R = 4.00×10-2 m. The charge density is 6.00×10-2 C/ m3. What is the electric field at r =8.00×10-2 m?...

1 answers

##### Machine Learning : classification Q3: Please explain what is boxplot and what sort of information this following plot represent (what sort of conclusion can be drown from this plot) 5001000 100 20...

Machine Learning : classification Q3: Please explain what is boxplot and what sort of information this following plot represent (what sort of conclusion can be drown from this plot) 5001000 100 20002500 Balance No Yes Default No Default Q3: Please explain what is boxplot and what sort of informa...