2 x'-2x+1 xp: 4x3

Q: Evaluate the indefinite integral. x²dx V4 – x2 -

A: The given integral,       ∫x2dx4-x2

Q: Evaluate the indefinite integral. 8x2 – 21x – 86 - - dx +C. %3D J (x – 4)(x² – x – 12) | -

A: first we make partial fraction of given Integral

Q: Evaluate the indefinite integral. | V9 + x2 dx = x* + 9 + + Vx +9 + C

A:

Q: Evaluate the indefinite integral. dx x2V49 + x2

A:

Q: Calculate the indefinite integral 13 – 7t² – t + 43 dx. - - t2 – 4t – 12

A: Given:

Q: Evaluate the indefinite integral ∫(3x2−6x+2cosx)dx.

A:

Q: Use any method to evaluate the integrals ∫ 2x - 2-x/2x + 2-x dx

A:

Q: Find the indefinite integral. x + 8x + 1 dx *+ 12x2 + 3x + 2

A: The given integral,∫x2+8x+1x3+12x2+3x+2dx

Q: evaluate integral of (6x^1/2 + 6x^2)dx from 4 to 9

A:

Q: Evaluate the integral. '3 8- In(x) dx x2

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Q: What is the integral of x2(2-x)^(1/3) dx on the interval [1,2]?

A:

Q: Evaluate the indefinite integral: 3 dx х In(5x)

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Q: Find the indefinite integral.

A:

Q: Use any method to evaluate the integral. dx X>11 (x²-121) 3/2

A:

Q: Find the integral m tanx 1+x?

A:

Q: Evaluate the definite integral. 3 12(In x)3 dx 3 12(In x)3 dx

A: Given,  The definite integral  ∫1312ln x3xdx  We have to evaluate it

Q: S 8-3x (x+1)(x² − 4x+6) - dx

A:

Q: 12 1. dx 2V3*Vx 1

A:

Q: Evaluate integral of dx/x+2 from -6to-10

A: Given , To Evaluate the integral of dx / x+2 from -6 to -10

Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using right endpoints with 4 rectangles;…

A:

Q: Use any method to evaluate the integral. 20 dx (100x2 + 1) 2 20 dx (100x2 + 1) 2

A:

Q: Consider the indefinite integral (4x³ + 5x² − 1x − 6 [420³ + x² - 1 dx

A:

Q: Evaluate the definite integral. •3 3x Vx3 + 1 dx

A: Given the definite integral is

Q: Find the indefinite integral

A:

Q: Find the indefinite integral of (x2/(3+4x-4x2)3/2)dx

A: Consider the following integral: ∫x23+4x-4x232dx=∫x24-4x2-4x+132dx=∫x24-2x-1232dx Substitute…

Q: LV3x2 - 2x + 3 (3x – 1)dx

A:

Q: Evaluate the integral. (x³ - - 4x) dx

A: ∫-44x3-4xdx

Q: Find indefinite integral.

A: ∫5lnz+3z dz Put, 5lnz+3=t⇒5·1z+0=dtdz⇒1zdz=dt5

Q: Evaluate the indefinite integrals 3x-4x-2x +6 dx

A: Use the property of indefinite integral, ∫xndx=xn+1n+1+C  when n>0∫1xdx=lnx+C

Q: Find the indefinite integral. 2 x+16x+2 x'+24x² +6x dx 2.

A:

Q: dx 3-2x-x2 -3

A:

Q: Compute the definite integrals. 1 dx Insur 6x2 + 4x – 5 dx 3/5x +1 dr

A: We know that ∫abxmdx=xm+1m+1ba=1m+1(bm+1-am+1) ; m≠-1 We will solve the given integral using this…

Q: calculate the indefinite integral.

A:

Q: Calculate the indefinite integral S (2Vx3+3)(2Vx3 – 3) dx

A:

Q: Evaluate the definite integral below. 8. 4 -x + 3 3 dx V2x2 + 2x + 4

A: Given,          ∫2383x+432x2+2x+43dx

Q: Find the indefinite intergral of: Integral cube root of x^2 - (1/x^2) dx

A: Consider the given integral.

Q: Use any method to evaluate the integral. 8× – 8 -x -dx 8* +8-*

A: To evaluate the integral

Q: Determine the indefinite integral of ſ Vx6 + 3x5 + 3x4 + x³ dx

A:

Q: Evaluate the indefinite integral. 4х — 2 - -dx (4x2 – 4x + 7)³ - + C

A:

Q: Evaluate the integral. S- dx 8 =, x> 7 V49x2 - 64

A: Solution-

Q: Find the indefinite integral by making the substitution a = 6 sec 0. 2-36 dx -1 6 C. Vx2 – 36 + 6…

A: Given

Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using mid points with 4 rectangles, you…

A:

Q: 3 2 dx .2 4.

A:

Q: 8. 3 dx 8- x X

A: Formula

Q: 4) Reverse the order of integration in 2 2x x' dydx 0 x2 and evaluate the integral as an x-simple…

A: To reverse the order of the below integration. ∫02∫x22xx3dydx

Q: Evaluate the definite integral. In 3 6e-X cosh x dx

A: Given integral is- I=∫0ln36e-xcoshxdx where coshx=ex+e-x2 Thus,…

Q: Compute the indefinite integral 2. - 4e²² + 6z – 5) 5) dx.

A: We know that integration of ex is ex . And integration of 1/x is lnx. Integration of xn is xn+1/…

Q: Evaluate integral of (4x - 15) dx over x^2 - 4x +13

A: To find: ∫4x - 15x2 - 4x +13dx

Q: Evaluate the indefinite integral. За — 3 - -dx 6 (3x2 – 6x + 4)° -

A: