Question

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

Answer #1

A) Use the Comparison Test to determine whether integral from 2
to infinity x/ sqrt(x^3 -1)dx is convergent or divergent.
B)Use the Comparison Test to determine whether the integral from
2 to infinity (x^2+x+2)/(x^4+x^2-1) dx is convergent or
divergent.

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

evaluate the integral ∫(x+2)/(x²+4) 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.

compute the definite integral. The integral of 0 to 1
x^4(1-x)^4/1+x^2 dx

Use the trapezoidal rule with n=4 steps to estimate the
integral.
Integral from -1 to 1(x^2+6)dx
(-1 is on the bottom)

1. the integral of 0 to 1 of (x) / (2x+1)^3 dx
2. the integral of 2 to 4 of (x+2) / (x^2+3x-4) dx

Calculate the iterated integral.
16
1
4
x
y
+
y
x
dy dx
1

Evaluate the integral using trig substitution.
definite integral from 1 to sqrt(2) 6 / (x^2 sqrt(4-x^2))dx
(a) write the definition for x using the triangle
(b) write the new integral before any simplification
(c) write the new integral after simplifying and in the form ready
to integrate
(d) write the solution in simplified exact form
write all answers next to the specified letter above

Solve the integral of ((x^4)+(8x^2)+18)/((x^3)+(9x))dx

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