53. In x dx

Q: Evaluate the following integrals. Check by differentiation. S 3x(x + 2)² dx

A: ∫3xx+22 dx On simplification, we get ∫3xx+22 dx=3∫xx2+4x+4 dx=3∫x3+4x2+4x dx=3x44+4·x33+4·x22+C…

Q: Evaluate the following integrals.

A:

Q: . Evaluate the following integral or state that it diverges: Ln xe3x dx

A:

Q: iv. L, x* (e* – e*) dx

A: Given:

Q: So ty 1-x² dx

A:

Q: dx 50. (х — 1)43

A:

Q: Evaluate the following integrals.

A:

Q: e sec (e*)dr

A:

Q: x+5 dx |

A: ∫x +5xdx

Q: Evaluate the following integral by reversing the order of integration. 2 "dxdy note: e* = exp(x*)

A: Changing the order then integrate.

Q: Evaluate the following integrals: 1) /x*. Inx". dx

A:

Q: Ja* dx

A:

Q: (2x² + 3) dx (x² + 1)2

A:

Q: 12. Determine the following integrals. Do not implify. )dz (b)

A:

Q: Evaluate the following improper integral. If the integral is divergent, enter "divergent" as answer.…

A:

Q: Evaluate the following integrals: Inx.dx

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Q: Evaluate the following integral by reversing the order of integration. -8 2 dxdy

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Q: Evaluate the following integral. Enter an exact answer. •3 4 3 dx x3

A: Topic = Integration As per guidelines , At a time only one question can be answered,

Q: Evaluate the following integrals: | VE(x +1) de:

A: Given:       ∫xx+1dx     =∫xx+xdx        =∫x32dx+∫x12dx

Q: Evaluate the following definite integral. If the integral diverges, say so and why.

A:

Q: Rewrite the following integral using substitution: s8 (1+3x)?dx

A:

Q: Rewrite the following integral using substitution: sẽ (1 + 3x)?dx

A:

Q: Evaluate the following integrals.∫(ex-e-x)/(ex+e-x)dx

A: Given integral is ∫ex-e-xex+e-xdx. Consider u=ex+e-x. Then, du=ex-e-xdx

Q: Evaluate the following integral between x=-6 and x=5: 4х — 5 dx -

A: This question is based on definite integral.

Q: Evaluate the following integral. x21 dx

A:

Q: Calculate the following integrals: a) S(x-- - 2x?)dx

A: Consider the integral: ∫x-2x-2x2dx

Q: evaluate the following integrals

A:

Q: 1 dx 1+Vx

A: Explanation of the answer is as follows

Q: Evaluate the following integral or state that it diverges. sec dx 3 LO

A:

Q: Evaluate the following indefinite integral. dx 9x

A: solution:-∫19x6 dxusing integration formula:-∫xn dx=xn+1n+1+C

Q: Evaluate the following integrals. 1. tan x dx

A:

Q: Evaluate. the. following.integrals..by.changing..the.arder. integrahian.s 2 405(x9 dxdydt a.…

A:

Q: Evaluate the following integral or state that they diverge.

A:

Q: Evaluate the following integral: in4 sinh x dx

A: Use another form of sinhx

Q: - y = [sec(x)]3z

A:

Q: dx x In* (x) e?

A:

Q: Evaluate the following integrals.

A: To solve the given integral

Q: Evaluate the following integral. 1 dx /x + 4

A: By using integration formula, we calculate the given integral.

Q: Evaluate the following integrals.

A: We have I=∫123y8ey3 dy   Substitute u=ey3 Taking log on both side  ln u=y31udu=3y2 dy13udu=y2 dy…

Q: 2 4-x xy dx dy 21

A: Solution: From the given information, it is needed to calculate is

Q: Evaluate the following improper integral or state that it diverges. 3 cos () dx

A: ∫2∞3cosπxx2dx=limk→∞∫2k3cosπxx2dx   Let, u=πxdu=-πx2dxdx=-x2πdu

Q: Evaluate the following integral or state that it diverges. 00 4 2 sec dx

A: Given

Q: Evaluate the following integral as it is written. 5 5 4y dy dx 0 x

A: To evaluate the integral: ∫05∫x54y dy dx Solution: Evaluating the given integral. ∫05∫x54y dy…

Q: 7. Evaluate the following integral or state that it diverges: Lo xe* dx

A:

Q: S(e* +e-*)? dx

A: To determine:

Q: dx 49. 01 (x – 1)²

A:

Q: Evaluate the following improper integral: dx.

A:

Q: Calculate the following integrals. dx (a)

A: Note:  As per our guidelines, we are supposed to answer only one question. Kindly repost other…