2 1 e dx e

Q: Evaluate the integral: fe2 /1+ e2 dx

A:

Q: Find the integral of (e^x - 1)/(e^x + 1) dx.

A:

Q: Evaluate each improper integral.

A:

Q: Evaluate the iterated integral. 8. 15 (x + y²) dx dy

A: When integrating with respect to one variable, consider other variable as constant.

Q: 1 dx (x-2)(x+2)

A: We have to find integration

Q: 3 2—х ∞ Lo dx X¯e

A:

Q: Find the indefinite integral ∫ 1/(e2x + e−2x) dx

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Q: Evaluate the following integral. 1 dx x2 +4 0.

A: Use the method of substitution to evaluate the limit. Assume I=∫021x2+4dxLet…

Q: Evaluate the integral 1 2 s s хе dx dy -1

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Q: 1 Find the indefinite integral || e* + dx 1+x?

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Q: 2. (a) | +4 Evaluate the integral. √2x + 1 dx

A: Taking substitution as 2x+1 = t

Q: Evaluate the integral.   ∫0 1 (x2 +1) e-x dx

A: Evaluate the integral.   ∫0 1 (x2 +1) e-x dx

Q: Evaluate the definite integral. 2 e 1/x4 dx x5

A: To evaluate the definite integral.

Q: Evaluate the integral VI- 1 /1 dy dx. – x² – y2

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Q: 23 dx 'e xyIn x

A:

Q: Evaluate the definite integral. 2 e 1/x* dx x

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Q: 24. ( (x² + 1)e*dx

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Q: Find the integral of (1 2x) e^ (-x) dx from x-0 to x=. с. 2 А. 3 в. 4 D. 1 O B

A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx =…

Q: evaluate the indefinite integral.

A: To evaluate:

Q: Evaluate the given integral ∫ 2x/ e^5x dx

A: ∫2xe5x dx

Q: Compute the integral 1 dx. L (* – i)(x² + 1)

A:

Q: evaluate the given integral.

A: we have to evaluate the given integral: ∫x2+5x-1x+4dx let the given integral be I. therefore,…

Q: (a) Evaluate the integral 1 2 (4-)dy dx

A: Evaluate the given integral as follows. ∫01∫024-y2 dy dx=∫01∫024-y2 dy dx=∫014y-y3302 dx=∫018-83…

Q: edx e dx (e*+1)*

A:

Q: Evaluate the integral. .2 5) t + dx t 1

A: Given,   ∫12t+1t2dx

Q: Evaluate the following integral. 2 5 e 2,2 dz dx dy -221

A: Given: ∫-25∫25∫1ex2y2zdz dx dy ⇒∫1ex2y2zdz=x2y2∫1e1zdz       ...constant out⇒x2y2lnz1e…

Q: e*dx e2x +1

A: We know that; ∫axdx=axlna+C And ddxcot-1x=-11+x2   Given: I=∫7cot-1exexdxe2x+1   ....1

Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: Find the integral. e4X cos 3x dx + C

A:

Q: Evaluate the integral √ (k+ 2) ( k + 3) dx

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Evaluate the definite integral. 2 e 1/x5 dx х5

A: The given definite integral is,

Q: Evaluate the following indefinite integral: 2(1 + e*) dx (x + e*)3

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Q: (3) Evaluate the definite integral e + e -dx

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Q: evaluate the integral.

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Q: Evaluate the integral e'sin e) dx 1- In 2 2 u +3 u + C + C +C cos(e") + C COS -2*+2x + C 21 21

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Q: 2) Evaluate the following integral: (1.3)* dx

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Q: evaluate the given integral.

A: Solution:-The given integral is  ∫x+2(x-1)(x+3)dx since  x+2(x-1)(x+3) is solved by partial…

Q: Evaluate the integral. S(e* +8e -*) dx | (e 4x +8 e -x) dx =[(Use C as the arbitrary constant.)

A: Consider the given integral.

Q: 15 Find the integral | 2/x (1+x) dx.

A:

Q: 1 dx x² +1 e +

A: solution:-∫02ex+1x2+1dx=∫02exdx+∫021x2+1dx=ex02+tan-1x02=e2-e0+tan-12-tan-10=e2-1+tan-12     Ans

Q: | -2" dxr. (x² + 1)e

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Q: In(x) -dx Evaluate the integral m(2)

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Q: (b) Evaluate the integral | xe * dx. (1- x)?

A: Given : The integral is ∫ xe-x (1-x)2 dx .

Q: [2'e'dx X

A: Given

Q: Evaluate this integral.  I = ∫ 3 0 | x^2 - 4 | dx.

A:

Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

A: Use integration by parts for solving it,

Q: х — 1 dx 2?(а + 1) 1

A:

Q: 3. Find the integral: L,x*dx

A:

Q: Evaluate the integral.

A: we have to evaluate the integral ∫excos(ex)dx