dx 28 – 12x – x X

Q: Evaluate the Integrals: ∫ (2x2+3)dx/x(x+1)2

A: Given the integration I=∫2x2+3x(x+1)2dx

Q: 1 dx (1+x2)2

A: Given:

Q: 1. S(x3/2 + 2x + 1) dx

A: consider I= ∫x32+2x+1dx

Q: Evaluate the integrals

A: Integration means addition. It is used for adding continuous function which can't be added by simple…

Q: find integral x3 3) S dx /1-x²

A: We have to find the indefinite integral

Q: Find the integral ∫ x+1 / (x−2)3 / dx.

A:

Q: Evaluate the integral: √ S - (9x²+7x) (x−1)(x+1)² dx = ← +C

A: Given; I=∫-9x2+7xx-1x+12dx   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: 3 dx 1 4x – x2 – 3

A:

Q: Find the integral. Show complete solution. x+4 dx X-4 1.

A: ∫x+4x-4dx

Q: dx (2 – x)V1– x

A: solution:-

Q: Find the integral. |(2x° – 7x° + 5) dx 1 A. 3 7 4 x* + 5x + C 4

A: he given integral is ∫2x5-7x3+5dx

Q: Find the integral. X. dx 6 6 7 A. -x 7 1 O 2x2 7 OB. – 2x-2 +c .3 Oc. C. - 3x -2 +c

A: The explanation of answer as follows

Q: Find the integral ∫2x2 / x+1 / dx.

A:

Q: 4. dx 3. 2

A: Given: I=∫24x3-4x2dx We know that ∫xndx=xn+1n+1+c…

Q: Evaluate the integral. √3/2 x² V1-x² dx

A:

Q: Evaluate the given integral. 6x2 – 19x + 17 -dx (x – 1)(x – 2)? -

A:

Q: Evaluate the integral: / (3x+5)dx x²+2x+1

A: ..............(1)

Q: Evaluate the integral. dx 3 x+Vx² + 27

A:

Q: Find the integral. dx 7/3-3x2 +C O b 2x2 육x기3-2x-2.c O d + 2x

A:

Q: Solve the integral. 1 dx 6. 3x2 + 2x + 1

A: Given     ∫ 13x2+2x+1 dx

Q: [(7x-2)e-* dx; -3x

A: The given question can be solved as shown in step2.

Q: Evaluate the integral 2.x2 + 6x + 5 dx, x2 + 3x + 2

A:

Q: Evaluate the integral. 1/2 2 - 4x + 1 dx x² – 3x +2

A:

Q: 2 x – 4 dx .2 1

A:

Q: (x+1)dx. x(x² +9)

A: Find the indefinite integral

Q: 3 Evaluate the integral |x V2x +1 dx ?

A: ∫x22x3+1dx We need to integrate the given function.

Q: Solve the integral: 3√x x² dx

A:

Q: dx 2 (1+3x)2

A: We will find the integral as following.

Q: Find the integral (4x2 – 21x) dx (x – 3) (2x + 3)

A: The partial fraction decomposition or partial fraction expansion of a rational fraction is an…

Q: Solve the integral. x +1 -dx 4. 4 + x2

A: Our Aim is to integrate the expression given below:-∫x+1x2+4dx -(i)

Q: 3x dx x +x-6 2

A:

Q: Evaluate the integral: 1 2x + 4 dx x² +1/

A:

Q: dx 2 28 — 12х — х

A:

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

A:

Q: (E) dx 4 2. \(3x-5)2,

A: We have to evaluate the given definite integral.

Q: Find the integral ∫ x+2 / x−1 / dx.

A: On simplification, we get

Q: 3. Find the integral. 2x dx x2 + 10x + 29 а.

A:

Q: Find the integral. √(x + 1)e 6x² + 12 е 12x dx √(x + 1)e 6x² + 12x dx = [

A:

Q: find the integral 4V2 (4 – x³)/² dx 3

A:

Q: Evaluate the integral (x – 1)ez xp- x² – 2x + 2

A: The objective is to find ∫-∞∞(x-1)eix(x2-2x+2)dx It is known that, eix is an increasing function.…

Q: 2. Evaluate the integral x(3 – 5x) (3x – 1)(x – 1)2 dx

A: To solve the following integral

Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: evaluate the given integral.

A: The given integral ∫2x+1xx2+4dx can be evaluated as, ∫2x+1xx2+4dx=∫2x2+4dx+∫1xx2+4dx The integral…

Q: 2. S*3*+2 dx x+2

A:

Q: 2x +3 dx x² + 3x +1 1.

A: Solving the problem by method of definite integral.

Q: 2 S(3x – 2)(x + 1) dx 1

A: ∫-123x-2x+1 dx=∫-123x2+3x-2x-2 dx=∫-123x2+x-2 dx Here, a=-1, b=2 & fx=3x2+x-2 Now,…

Q: Use any method to evaluate the integral. x'dx 2 X + 16

A:

Q: (3x+5) dx x3 –x² –x+1

A: Consider the provided question,

Q: 2x +4 dx x* +4 4

A:

Q: Given the integral 8 dx 4x - 5

A: Given,         ∫84x-5dx