2x3 - 4x2 159x + 71 dx | x2 – 2x – 80 -

Q: Find the indefinite integral.

A: We find this indefinite integral by the method of substitution. We re-write the integral in a…

Q: (6x + 4x? -90x - 64 da Consider the indefinite integral x2 16 -

A: I = ∫6x3+4x2-90x-64x2-16dx as Numerator degree is greater than denominator degree, So, on dividing…

Q: Use substitution to find the indefinite integral. X 1²2* S= 4x² +2 X 4x + 2

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Q: 3dx 2. S (x+2)√x²+4x+3

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Q: Evaluate the following Integrals using Integration by Partial Fraction. Show all the solution.

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Q: 3x8 dx V2 – x3 2 —

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Q: Find the integral ∫2x2 / x+1 / dx.

A:

Q: Suppose ƒ is an even function with integralEvaluate each integral.

A: Given:           f  is  an even function.    ⇒  f(-x) = f(x)   for all x

Q: 2- Vx dx (x + 1)²

A: Given:             ∫2-xx+12dx Expand: 2-xx+12dx=2x+12-xx+12 Apply the sum rule: ∫fx±gxdx=∫fxdx±∫gxdx…

Q: √ x-1 x² + 5x +8 dx

A: Given ∫x-1x2+5x+8dx

Q: x³ + 12 dx. x² + 6x + 8

A: Please see the explanation below

Q: Evaluate the integral. •2 /2x² – 4 dx = 7x

A:

Q: state what method applies and how one applies it, but do not evaluate the integral:

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Q: х—1 dx х4—1

A:

Q: 5x – 2 dx x2 + 1

A:

Q: P2: (e* sin x + x ln x) dx

A: The given integral is:∫exsinx+x lnxdxWe need to solve the above integral.

Q: L 2x²³ + 8x doc 3 √x² + 4

A: This question can be solved using the concept of integration by substitution.

Q: 2x2 dx 5 – x²

A: Given - ∫2x25 - x2 dx To find - Find the integration using substitution u = 5 - x2

Q: x³ + x – 1 ;dx J x(x – 1)(x + 5)²

A: Here i have applied all the required formulas. No other formula is required to solve it.

Q: 7x + 29 dx (x + 3)(x + 5)

A:

Q: dx 1+x3

A:

Q: Use the method of partial fractions to evaluate the integral. (Use C for the constant of…

A: Given:             ∫2x2+4x+36x2+2x+17dx           =2∫x2+2x+18x2+2x+17dx…

Q: Find the integral. -3 4Vx dx X.

A: Given,        ∫-3x3-4xdx

Q: 4 dx 7). S x4-1

A:

Q: x5 dx + 1)ž (36x²

A:

Q: Use substitution to find the indefinite integral.

A: Given integral: ∫x2-6xx-3 dx Substitute u=x2-6x and differentiate it w.r.t 'x'…

Q: P6: x2 x² – 1

A:

Q: Find the integration of function b a) S[secx 2tanx3 csc25x -

A: We have to find the given integrations

Q: 3x 2.5 dx V1 — 5х2

A:

Q: evaluate using Integration by Parts.

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Q: 2x – x3 1. Evaluate dx. (r – 1)²(x²+1). -

A: we want to find the value of the given integral I=∫2x-x3(x-1)2(x2+1) dx

Q: Find the integral 13x³ + 6x² + 7x + 2 dx= (x + 1)²(x² + 1)

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Q: Sx³(a² + x²)î dx

A: We will solve the problem.

Q: 5xt AK fue?

A:

Q: Find the integral -3x2 + 9x + 21 dx (x + 2)²(2æ + 1) ||

A:

Q: 12. [ xv2 − xdx x√2

A: ∫x2-xdx

Q: S 2 (2 x ² + 1 ) 1²/1 2 dx

A:

Q: 212. -dx (x + 2) (2 – x)

A:

Q: What change of variables would you use for the integral  ∫(4 - 7x)-6 dx?

A: Consider the following integral: I=∫4-7x-6dx Substitute 4-7x=t→-7dx=dt→dx=-17dt in I:…

Q: dx I (x – 6)(x +2)²

A:

Q: Evaluate the integral ∫2x+3 / x2−9 / dx.

A: Now consider,

Q: -24e" – 128 -dx e2x + 12e" + 32

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 1 S dx 1+x3

A: First we take partial fraction.

Q: 8 dx I (x – 2)(x +6)

A:

Q: - (x-1)(2x³+2x²+3x+2)dx x3(x+1)

A:

Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: Evaluate the integral -9x³ + 36x + 90 dx x² – x – 6

A:

Q: Find the indefinite integral.   xe^6x/(6x+1)^2dx step by step

A: We will use integration by parts

Q: (3x-3) dx (x²-2x+1)(x²+2x+8)

A:

Q: -2 dx 8). Jo 1+x*

A: