Evaluate the indefinite integral: 2 —8ӕе" dx - + C.

Q: Evaluate the definite integral: dz 15

A: We have to solve the given definite integral

Q: (d) | Ta2 – 4)3 dx -

A: To Determine: Convert the indefinite integral into definite integral using the interval [0,1]…

Q: Find the indefinite integral by using the substitution x = tan 0 (1+ x2)2dx

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Q: Use the definition of the definite integral to evaluate

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Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: Use integration by substitution to evaluate the following indefinite integral, |x²sin (x³ + 3)dx

A:

Q: Find the indefinite integral. (Check by differentiation.) dz dz =O

A: Given : ∫7ez+4dz

Q: Evaluate the indefinite integral. -1 tan (5x)dx

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Q: Use substitution to find the indefinite integral.

A: Our Aim is to evaluate the indefinite integral given below:-∫re-r2 dr -(i)

Q: Evaluate the indefinite integral: du + C.

A:

Q: up 1. √ √2x + 1 dx

A: The given integral is ∫042x+1dx. We have to evaluate the integral.   As per guideline, we have to…

Q: 12. |sec 20 de

A: Given

Q: Find the indefinite integral using the substitution x = 2 tan θ.

A: The given integral is

Q: Evaluate the indefinite integral. V 16 +x² dx %3D to

A: We need to integrate ∫16+x2x4dx

Q: Evaluate the indefinite integral.

A: To evaluate the below indefinite integral.

Q: Evaluate the integral. Integral from 0 to 3 sqrt(x^2+9)

A: We are going to use the formula: with a=3. Plugging a=3 we get:

Q: iv | [ bei dx

A:

Q: Use the substitution æ = 6 tan(0) to evaluate the indefinite integral 23dx x2 Va2 + 36

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Q: Find the indefinite integral by using the substitution x = 9 tan(0).

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Q: Find the indefinite integral

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Q: Evaluate the indefinite integral: ∫sec2(−3θ) dθ

A: To evaluate the indefinite integral: ∫sec2-3θ dθ Solution: Let substitute t=-3θ. Differentiating on…

Q: Evaluate the indefinite integral. dz.

A: Given integral, ∫x7ex8dx

Q: Use the substitution x = 5 tan(0) to evaluate the indefinite integral 40 dx x² Vx² + 25

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Q: Evaluate the indefinite integral: (8e" + 5 sec? u) du =| + C.

A: We use integration of eu=eu and integration of sec2u= tanu .

Q: ex 4-9e²x dx

A:

Q: Find the general indefinite integral using definition. х5 + 3х — Vx + dx X.

A: we need to evaluate the integral,∫x5+3x-x+1x dx

Q: Find the general indefinite integral using definition. х5 + 3х — ух + dx

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Q: Find the indefinite integral. dx xV9+49x2

A: see 2nd step.

Q: -2 dx 1 x-1

A:

Q: XV3x2 – 2 dx 1

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Q: Evaluate the indefinite integral: et – 7x dx - + C. 5

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Q: 4. fx√x - 3 dx

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Q: Use the substitution u = 3+ eta to evaluate the indefinite integral

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Q: Find the indefinite integral. (Use C for the constant of integra -8 + 12 dx ャ

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Q: Find the indefinite integral by using the substitution x = tan 0 .

A: x = tan(theta) then  theta = tan-1 x

Q: Evaluate the indefinite integral by using by part technique 4x dx 4. b. 4xe

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Q: Evaluate the indefinite integral. fest √5e³t sin (est)dt = [

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Q: SxVx-6 dx

A: ∫xx-6 dx

Q: calculate the integral in terms of the inverse hyperbolic functions.

A:

Q: Take the indefinite integral of (1-x)/(1-sqrtx)dx

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Q: a+bx² √3ax+bx³ dx

A: This question is related to indefinite integration, we will solve it using given information.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (18x – 17)°…

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Q: Use a table of integrals to evaluate the definite integral.

A: It is give that,∫05x25+2x2dxWe have to evaluate the definite integral.

Q: Evaluate the indefinite integral, show all work. 2x+4 J 22 dx

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Q: find the indefinite integral of y/sqrt(1+3y)

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (9x – 8)° dx…

A: We need to evaluate: I=∫9x-89dx by using appropriate substitution. This can be evaluated as follows:…

Q: Evaluate the indefinite integral using u substitution  x^6sin(x^7) dx

A:

Q: Use the substitution u= 7x +4x to evaluate the indefinite integral below.

A: We have to change the variable from x to u by the substitution u = 7x2 +4x.

Q: Find the indefinite integral. te7x dx (7x + 1)2

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Q: Find the indefinite integral by using the substitution x = 4 tan(0). (Use C for the com 4x2 dx (16 +…

A: on solving this we get the