Write the integral as the sum of the integral of an odd function and the integral of an even function. [₁₁²+72- +7x²5x8) dx 10 [₁(x²³ - 8) dx + [ { (7x² - 5x) dx O • L₁, (x² - 5x) dx + L₁ (7x² - 8 dx 3 01₁ (x² - 5x - 8) dx + 1₁7x² 7x² dx • 1³₁ x³ dx + 1²₁ (7x² 0 L₁(x² + 7x²) dx + L₁ (- (7x²5x - 8) dx (-5x - 8) dx - 8) dx Use this simplification to evaluate the integral. -90

Q: 2(7-3x) =1/4

A: The equation is, 27-3x=14 Solve for x as, 27-3x=12227-3x=2-27-3x=-23x=7+23x=9x=93x=3

Q: | 4.0°e-9* 4x³e-9a* dx

A:

Q: A 2x-In Ixl+C B 2x4 In Ixl+C 5*²=4 dx x D HIN x² - In Ixl+C x² - 4 In 1x1+C

A: topic- indefinite integral ∫xndx=xn+1n+1+C∫1xdx=lnx+C

Q: -3xdx 8. S: 2x+1

A: The given integral is; -3x/√(2x+1).

Q: Evaluate S (2x+3) dx x² (x²+1)

A:

Q: Evaluate. (10x³+4x² - 7x+2) dx

A:

Q: d. [(2x +1) (5a - 4)) dx 10x - 3 O 20x - 4 O 10x - 4 20x-3-

A:

Q: find the constant term of (2x² + 1/x)⁹

A: find the constant term of (2x² + 1/x)⁹

Q: 2x (i) da 1+z?

A:

Q: dx 4x2- 4x+5

A:

Q: (2x +1) dx 2. 15 - 2x -X

A: We have been given the integral  ∫-31(2x+1)15-2x-x2dx

Q: dx (4x?- 9) 3½

A:

Q: Evaluate 3 (9x² – 2x + 1)dx 1

A: Given:∫13 9x2-2x+1 dxIntegrating formula:∫xn dx=xn+1+C

Q: [(*+4) - 8]* dx 32 (*+ 4 )3

A: The given integral is 32∫0∞x+4-82x+43dx. Evaluate the value of given integral.

Q: 2 X 2 X 0+ - 4 +4 dx =

A: C+C

Q: 1/3y+4=1/5y

A:

Q: d.

A:

Q: x* +3 +00 -dx x2 + 3x +1

A: first we solve for indefinite integral…

Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx

A:

Q: Evaluate f (5x* - 8x3 + 9x2 – 2x + 7)dx

A:

Q: 1/3y+1=1/2y-3

A: We have to find value of y for 1/3y+1=1/2y-3

Q: 8x(x? + 1)3 dх .2 1)³dx -2 Inx 4. 1/4 xp() 3.

A:

Q: + 3x' + 3x -2

A: We have to evaluate the following definite integral: ∫24-3+x-5x2+3x3+3x4x2+x-2dx