INDEFINITE Use the idea of "un-doing 18. (3x³dx INTEGRALS a derivative" to find the following indefinite integrals: 19. (8x³ + 2x)dx 20. (5x³-1)dx

Q: dx 3/2 3

A:

Q: 3 dx 23. (x-1)(x 2)

A: Given,

Q: 1. 5x²+4x2-5 dx

A:

Q: • / VI - x² dx

A:

Q: 24 Find rinc dx 2. 14x

A: Above integral can be calculated using the formula below,

Q: -9 dx (3x + 1)² 1

A: Solution: ∫1∞-9(3x+1)2dxTake the constant out=-9×∫1∞1(3x+1)2dx

Q: 1 dx х x³Vx²

A: We have to integrate  ∫22 1x3x2-1 dx.

Q: dx x'V4- 8x?

A:

Q: dx 35. ex/2 +1

A:

Q: dx (9 – 4.x²)³/2 2,3/2

A: Given: The integral is ∫dx9-4x232. To find: Value of the integral.

Q: ∫(2ex−3sinx)dx

A:

Q: v5-x dx

A:

Q: 9. x² dx (1 – x²)3/2

A: Let's find.

Q: 5x dx (x² + 3)2/3

A: We will use a substitution to solve the equation.

Q: 2 x² +1 -dr. VI Calculate

A: ∫xn=xn+1n+1

Q: Integrate x sqrt of (x+4) dx using algebraic substitution

A:

Q: x2 8. dx V9 – x2

A:

Q: ∫013 -1/(1+2x)2/3 dx

A:

Q: 17x3/(2+x2)1/2 dx

A: Let,

Q: 1/2 (5x+ 3x"-7)ck

A: Solution

Q: 9 coshx - 5 sinhx 15 %3D

A: To solve  9coshx-5sinhx=15