1 Jo 4/7x* +9x³ 1 dx x² +7 x +7 dx 3x° + x³ Jo T3x +x

Q: The integral 4x dx Vx2 – 4 1 is an improper integral of typel is an improper integral of type II…

A: The given problem is solved below in detail.

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

Q: determine whether the improper integral converges and, if so, evaluate it.

A: We write the given integral using limit k approaching infinity

Q: use the Comparison Test to determine whether the improper integral converges or diverges.

A:

Q: Use the Comparison Test to determine whether or not the integral converges.

A: If f(x)≥g(x)≥0 on the interval [a,∞) then, If ∫a∞f(x)dx converges then so does∫a∞g(x)dx. If…

Q: x³ + 2x² + 3 4/9 dx 3x6 + 17x10 + 10x12 8°

A:

Q: Develop the following improper integrals and determine whether it is convergent or divergent d) dx

A: We will evaluate the following integral and check whether it is convergent or divergent.

Q: 1. dx .00 1 1 x 1 2. 1 (3x+1)2 8

A:

Q: use the Comparison Test to determine whether or not the integral converges.

A:

Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent. 37x dx x*…

A:

Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent. arctan(x)…

A:

Q: Determine whether the improper integral converges and, if so, evaluate it.

A: We can write it as: ∫05x-2019dx The given integral is improper because the integrand is undefined at…

Q: x² +3 dx 2 2x* +x 00 4 1

A:

Q: Use the Comparison Theorem to determine whether the following integral is convergent or divergent. 1…

A:

Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent. 31 2 + e-x…

A: Definition used -               Comparison test for integrals-                   If  0≤g(x)≤f(x)…

Q: Calculate the following improper integrals, and deduce whether they are convergent or divergent. a)…

A:

Q: Determine whether the improper integral converges and, if so, evaluate it.

A: Check weather the improper integral converges:∫1∞dxx1920=limt→∞∫1tdxx1920…

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

Q: Determine whether the improper integral converges and, if so, evaluate it.

A: ∫1∞dxx20/19

Q: determine whether the improper integral converges and, if so, evaluate it.

A: To evaluate:

Q: d.f* .3 e x* dx

A: The given improper integral is: ∫0∞ e-x3 dx

Q: Determine whether the improper integral converges and, if so, evaluate it.

A: ∫56dxx-532 On integrating, we get ∫56dxx-532=∫56x-5-32…

Q: The improper integral dx x²+4x+8 converges to 4 converges to - TC O diverges O None converges to 37

A:

Q: Determine whether the following improper integrals of type I converge. Sinyx dx 3. x2-x-2

A: Solution:-

Q: Consider the following improper integral: eV2r dx 00 It can be guaranteed that the integral a)…

A:

Q: 1 dx 7x° +9x x² +3 dx 2 2x* +x

A: Explanation of the answer is as follows

Q: x* +7 dx x° +3x? 3 4 5 1 dx x´ +7 1 x+7 dx V3x° +x³ 3 S. 8.

A:

Q: Determine if the following improper integral converges or diverges. If it converges, evaluate xe dx…

A:

Q: Which of the following integrals converges? 1 (1) S' x + 2/x 1 (2) S' x + 2x2 1 (3) Sª +2x dx x +…

A: Evaluate the given integral to check the convergence of them. 1 Evaluate ∫01 1x+2xdx Apply the…

Q: Determine if the improper integral converges and, if so, evaluate it. dx | 8+x Write F if the…

A: The improper integral given is- ∫0∞dx8+x To find whether it converges or not . If integral tends to…

Q: 1 Jo 7x +9x' dx .3

A:

Q: Use the Comparison Theorem to determine whether the following integral is convergent or divergent.…

A:

Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent.

A:

Q: 9. Use the Comparison Test to determine whether the following integral is convergent or divergent. 1…

A: Given

Q: Use the appropriate limits to determine if the following improper integrals converge or diverge. If…

A: since u have asked multiple question in one task so we will be answering only first question.

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

Q: J. xinx) dx converges and evaluate the integral in those cases. Determine for what values of p the…

A: Consider the equation

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

Q: Use the Comparison Test to determine for what values of p the integral 1 dx converges. xP In(x)

A:

Q: 3x 1. dx (Зx2 + 2)2 -3 2.J2 13-x 1 dx

A: Convergence of the series

Q: *n sin²x 48. dx 43–48 Use the Comparison Theorem to determine whether the integral is convergent or…

A:

Q: Determine whether the improper integral diverges or converges. dx 1.fº. (2x-1)3

A:

Q: 2. Use the Comparison Theorem to determine whether the integral x +4 J. V-2-1 dx x4 – 2x – 7…

A: Comparison Test for integrals: If fx≥gx≥0 on the interval [ a, ∞), then, 1. If ∫a∞fxdx converges,…

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

Q: Evaluate the improper integral, and whether it converges or diverges.

A:

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

Q: Evaluate the improper integral if it is convergent. (If it is divergent, type DIVERGENT 7e e-x/2 dx…

A: