E Homework: Section 5.2 Homework Assignment • 1 f(x)dx=2₁] Suppose f(x)dx=2, | f(x)dx = 3, and and 2 20 g(x) dx = 6. Evaluate the following integrals. axex- 2

Q: (x+ 1)dx 2. Jx2(x- 1)

A: Given: ∫(x+1)x2(x-1)dx Simplify by partial fraction decomposition.…

Q: ( 3x3 + 5x2 + 7x +4 dx. Evaluate x3 (x +1)

A: For the given indefinite integral, the first step in evaluation of this integral is:

Q: 2 x + 4 dx 3x°+4x- 4 X 3.

A:

Q: S. 2 x 2 x +9 -dx

A:

Q: e* (x + 2) (x+3)² dx

A: To evaluate the following integral.∫exx+2x+32 dx

Q: x³-4x²-3x+1 1 - dx 3x + 2 5. f 6. dx

A:

Q: 7. ₁²5(5x - 3)² dx

A: Here we have to find the definite integral.

Q: 3 5x3 4 6 /x ) dx Find - x4

A:

Q: 2X + 2 ) dx 3. 2X 6 + 2e

A:

Q: x +1 8. J x(x+ 4)3 dx

A:

Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

A:

Q: S x²-x +2 -X X³ + 4x -dx

A:

Q: 3x+4x+1 6. J x-x+4x-4

A: Indefinite integration

Q: 2. f(e³x + √x +9)dx 3x

A:

Q: 9. Simplify sec² x - 1 sec² x

A: secx=1cosxI=sec2x-1sec2xsin2x+cos2x=1

Q: 5x*dx V1 – x³ .5

A:

Q: S 3x-7 (5-12x-9x²)² 3/2 dx

A: ∫3x-75-12x-9x23/2dx

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: YOUR TURN 6 Find xV3 + x dx form Sub In be 1. 2.

A:

Q: 4x - 7x Differentiate with respect to 'x' 6x + 5

A:

Q: 9. f 6 sec¹ xdx

A:

Q: (In x)² dx 3r

A:

Q: 1 x2 - x + 12 x3 + 3x dx

A:

Q: 1) Find 1 x² +4x+13 dx.

A:

Q: Evaluate. (4x + 5x²) dx -2x dx 8. 9. dx 10. -5 for x 2

A: To evaluate: ∫-12(4x+5x2)dx Solution: We know, ∫xn=xn+1n+1+C    ..(1) Here, ∫-12(4x+5x2)dx On…

Q: Help evaluate

A:

Q: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

Q: 2 [(3x² + 1)(x³ + x)² dx [(3x + 8) ¹¹ dx 11

A:

Q: x2 - 10x - 5 dx J (x - 1)2(x² + 1)

A:

Q: ム× dx (x2+1) (3x-2)

A:

Q: Why is "B" 2?

A:

Q: (5) Evaluate 75 2x -dx. 5x8

A: