Question

Integrate -infinity to -3 x/(x^2+x-2)dx **if it
converges**

Answer #1

Prove that the integral from 0 to Infinity (sin^2(x)e^-x)dx
converges using the comparison test.

integrate (x^3)/(x^2-16)^(3/2)dx

Determine whether the improper integral from 5 to infinity
3/square root x dx converges or diverges, and find the value if it
converges.
Select the correct choice below and fill in any answer boxes
within your choice.
A. The value of the integral
B.The integral diverges.

Integrate (x^3)*sqrt(x^2 +4) dx, using trigonometric
substitution.

Integrate dx/(1+x^2)^2

Integrate the following:
1. 1/(x^2 + x - 2 ) dx
2. sin^2(5teta)
3. sinxcosx

integrate 4cosx/sinx(3-8sinx)^2 dx

Explain whether the following integrals converge or not. If the
integral converges, find the value. If the integral does not
converge, describe why (does it go to +infinity, -infinity,
oscillate, ?)
i) Integral from x=1 to x=infinity of x^-1.4 dx
ii) Integral from x=1 to x=infinity of 1/x^2 * (sin x)^2 dx
iii) Integral from x=0 to x=1 of 1/(1-x) dx

3. Integrate using partial fractions (Lesson 8) integral 2 to 1
(x^4 + 1)/x(x2 + 1)^2 dx (With explanation please!!)

Integrate: ∫ 2 x √ x + 3 d x

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