Calculate the integral from (-infinty) to (+ infinity) of [x^2 / (x^4 + 4)[ dx

Expert Solution

Colby Messinger answered 1 year ago

to calculate the integral from (-infinty) to (+ infinity) of [x^2 / (x^4 + 4)[ dx...

to calculate the integral from (-infinty) to (+ infinity) of [x^2 / (x^4 + 4)[ dx . poles, residues.

I Integrate x^2 e^(-.5(x+1))^2 dx from -infinity to +infinity

Evaluate the integral. ∫4−2. (1/(x+5)((x^2)+16)) dx

integrate from infinity to 1: (1+(sin^2(x))/sqrt (x)) dx

1) Evaluate the integral from 0 to 1 (e^(2x) (x^2 + 4) dx) (a) What is...

1) Evaluate the integral from 0 to 1 (e^(2x) (x^2 + 4) dx) (a) What is the first step of your ‘new’ integral? (b) What is the final antiderivative step before evaluating? (c) What is the answer in simplified exact form? 2) indefinite integral (cos^2 2theta) / (cos^2 theta) dtheta (a) What is the first step of your ‘new’ integral? (b) What is the simplified integral before taking the antiderivative? (c) What is the answer in simplified form?

Evaluate the improper integral from 0 to infinity xe^-x

Integral x^5-x^4+4x^3-4x^2+8x-4 / ( x^3+2)^3(x^2-1) dx

Evaluate the integral: ∫−14 / x^2√x^2+100 dx (A) Which trig substitution is correct for this integral?...

Evaluate the integral: ∫−14 / x^2√x^2+100 dx (A) Which trig substitution is correct for this integral? x=−14sec(θ) x=100sec(θ) x=10tan(θ) x=100sin(θ) x=10sin(θ) x=100tan(θ) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter θ, type the word theta. (C) What is the value of the above integral in terms of θ? (D) What is the value of the original integral in terms of x?

1. (a) Evaluate the integral: ∫0 to 2 16 /x^2+4 dx Your answer should be in...

1. (a) Evaluate the integral: ∫0 to 2 16 /x^2+4 dx Your answer should be in the form kπkπ, where k is an integer. What is the value of k? Hint: d/dx arctan(x)=1/x^2+1 k= (b) What is the upper bound for your error of your estimate if you use the first 11 terms? (Use the alternating series estimation.) = 2. The function f(x)=8xln(1+x) is represented as a power series f(x)=∞∑n=0 cn x^n. Find the specified coefficients in the power series....

Solve the following integral ∫ (x^2 + x + 2) / (x + 1)(x^2 + 1) dx....

Solve the following integral ∫ (x^2 + x + 2) / (x + 1)(x^2 + 1) dx. Use partial fraction decomposition. Show all work and steps to get to solution.

Question