10 [²0: 9x - 1 x²(x + 1) dx = - [ ²010 dx - [10 / / + dx - 1²0 x 140 1 dx +

Q: d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

A: Topic = Derivative

Q: · 153. •1 -1 (1 — x²) ³/²2 dr

A:

Q: ∫ x^2√18-x^2 dx

A: The given problem is to evaluate the given integral of x2√(18-x2) dx.

Q: x4 「高。 dx x2+1 Find

A:

Q: .Find the left endpoint sum and the right endpoint sum for |(x² +3)dx 3 using four equal width…

A: We have ∫35(x2+3)dx∆x=5-34=12Left end point sum=∑i=15mi∆xi…

Q: 12x 8 °-x X ³/₂ dx 3

A:

Q: Evaluate f -dx is equal to x In 3x

A:

Q: 00 ,-(1/x) е B) J 1

A: To solve the following improper integral

Q: Evaluate.   ∫−7/3x^3+6/x^4 dx = _____

A: Let I=∫-73x3+6x4dx

Q: х In 3x dx

A: Given:

Q: dx x'V4- 8x?

A:

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

A:

Q: In x (1+In x)² 1. S = dx

A: In this question , we will integrate .

Q: 9. x² dx (1 – x²)3/2

A: Let's find.

Q: Find ∫ dx/√(e2x − 1)

A:

Q: Determine the following: iffere (a) 10 -5x² - 42x+194 (x+3)(x-8)(x-2) 9 -dx VIM

A:

Q: [5x(4-2x²) dx

A: To evaluate the given integral

Q: -3/2 dx S(35 + 4x – 4x²)

A: Explained below

Q: (In x)² dx 3r

A:

Q: Evaluate ∫ 1/1 - x dx

A: The given integral is ∫11-xdx

Q: solve

A:

Q: 1-√x)³ 3 √x dx

A:

Q: ∫ ln²x/x√16-ln²x dx

A: We will solve the following

Q: L{1/2k³(sinkt-kt coskt)}

A:

Q: ∫013 -1/(1+2x)2/3 dx

A:

Q: evaluate 1/(2x(x2-9)1/2 )dx    and what method did you use

A: