(c) √x 3²+²+¹ da +16 dx

Q: (21 + V3)/3 11 dx Evaluate 50 + x - 14x

A: Explanation of the answer is as follows

Q: (2x)√2x + 1 dx

A:

Q: B S x4+5x³-6x² +18 x³ + 3x² dx.

A:

Q: .5 dx Vx4 – 2x2 + 1 b. 3

A:

Q: Cos2 10x d 8.

A: The integral is given by,

Q: 3 2. x1 + x² dx

A: Definate integration

Q: Find a side and diagonal relationship to find √10. Then use it to find an approximation to √10…

A: To find a side and diagonal relationship to calculate √10, consider a right-angled triangle where…

Q: -8x? + 16x + 8 dx (x – 1)2(x² + 1)

A: We will solve the problem

Q: O/ Eve luate the fo llowing x² V 4 -9x² dx (2) x²-4X+13

A:

Q: Integrate: /25 - x8 √√25 x5 - dx

A:

Q: [ (1 + 2x) dx 12

A: The given integral is ∫25 1+2x dx. Evaluate as follows.

Q: √(√√x6 + 8 √√x³ − 10 √x4) dx

A:

Q: S 2x/6-7x dx 6.

A: Using substitution method.

Q: 3. S tan¯¹ √√x dx

A:

Q: 3√3 dx √3 x² √√x² +9 2

A:

Q: √x√√7-x² d dx - S

A:

Q: S7=1−1/√2+1/2−12/√2+14−14/√2+1/8.

A: Given:

Q: (5- 4x2 dx 3 + 2X 4,

A: We can find the integral as below.

Q: (x'.3 + 7x25) dx + 7x²5

A: Given, ∫x1.3+7x2.5dx  We have to find the integral.

Q: 2√√/2x-x2 S S 0 0 5√x² + y²dydx

A:

Q: -3r5 dx

A:

Q: d 4х +11 15. In((x + 1)(2x + 9)) dx (x + 1)(2x + 9)

A: Given:ddxlnx+12x+9

Q: Find the integrals using integration by parts. b. [ Vx In /xdx

A: Consider the given: ∫xlnxdxIntegration by parts:∫udv=uv−∫vdu

Q: Differentiate y = 3x² + 2x−³ - √.x. C. Show all work.

A: Consider the equation