Evaluate the integral dx- 1+ x8

Q: Evaluate the integral. 停。 2 - 4 dx 8

A:

Q: Evaluate the integral ∫dx / x2+10x+26.

A: We first complete the square of the denominator

Q: Evaluate the integral. 8 dx 3 1

A:

Q: Evaluate the integral. xV1- x2 dx 14

A:

Q: Evaluate the integral. Vx² +9 dx

A: In the given question first use the substitution method and then use the properties of indefinite…

Q: Evaluate the integral. X- 8 dx x2 - 7x + 10 Jo

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Q: Evaluate the integral. dx xVx² + 3

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Q: x dx |-7-8X-x²

A: This question can be solved using the concept of some special integrals.

Q: dx 7-4x-x²

A:

Q: 64 + x2 dx

A:

Q: Evaluate the integral ∫dx/1+2x2.

A: Given :

Q: Evaluate the integral. х — 1 dx x2 - 7x - – 8

A:

Q: problem in photo attached

A: The integral is given by,

Q: dx 9-4x*

A:

Q: Evaluate the integral. dx x2 - 5x + 6

A: Given integral:

Q: Evaluate the integral. dx 3x2 + 11x + 6 0.

A:

Q: Evaluate the integral.

A:

Q: 9x2 - 4 dx

A: Given that, Apply u-substitution: Differentiate both sides with respect to x, Plug the values of…

Q: dx √1 + 4x²

A: Let's evaluate given integral by using trigonometric substitution.

Q: Evaluate the integral. x3- 2x2 - 4 dx x3 - 2x2

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Q: Find the integral. x° -7 dp-

A:

Q: -Зх сos 2x dx

A: Using Integration by-parts

Q: Evaluate the integral. 17 dx /2 x²Vx² – 1 ||

A: We will evaluate the given integral as shown below

Q: Evaluate the integral

A: Given: I=∫xdxx2-7 for evaluating given integral, in given integral we substitute x2-7=t…

Q: Evaluate the integral dx ,2 2x x - 3x X

A:

Q: Evaluate the integral∫ (4 /√(4 - x2)dx.

A: Let, I=∫44-x2dx Substitute x=2sint  gives dx=2cost dt…

Q: dx x2-x

A: Convert the rational function into partial fraction. Use integration of 1/x dx = ln(x) +c

Q: Evaluate the integral 4х + 5 dx. 3 - x2

A: To find the integral

Q: dx 3-2x-x2 -3

A:

Q: Evaluate the integral. dx x2 + 4x + 20

A: Solution: ∫02xx2+4x+20dx

Q: Evaluate the integral. X - 4 dx Jo x2 - 5x + 6

A:

Q: Evaluate the integral dx S 2xx - 3x2

A:

Q: Evaluate the integral

A: Given:

Q: Evaluate the integral. '5 x - 4 dx x2 - 3x - 18

A: We first factor the denominator. ∫-25x-4x2-3x-18dx=∫-25x-4(x-6)(x+3)dx

Q: dx 4x2 + 9

A: Use substitution.

Q: 6x dx (x³+1)*

A:

Q: Evaluate the integral. ( x³ In 4x dx

A: Given, ∫x3ln(4x)dx

Q: Evaluate the integral. 8. (x³ - 6x) dx -8

A:

Q: SxVx² √x² - 4 dx

A:

Q: 3lnx² 1. S -dx

A:

Q: Evaluate the integral: X³VX2 + 4 dx =

A:

Q: Evaluate the integral f(4x³ + 5x* + 2)dx

A: ∫xn dx xn+1n+1+C ∫a dx ax + C

Q: Evaluate the integral.

A:

Q: Evaluate the integral. 3x dx 3* +4

A:

Q: Evaluate the integral dx (7x + 6)2

A:

Q: Evaluate the integral ∫dx / 5−4x−x2.

A: I = ∫dx5-4x-x2I = ∫dx5-5x+x-x2I = ∫dx5(1-x)+x(1-x)

Q: dx —3 (х-1)(х-2)

A: Given: ∫-331x-1x-2dx

Q: Evaluate the integral. 3. [(ax-2-4) dx 2.

A: The given integral,        ∫234x-2-4dx