S(5x + 1) dx Simplify your answer."

Q: 4 dx x²

A: SolutionTo find∫24x3-4x2dxFormula∫xndx=xn+1n+1+C

Q: dx 3. S XVx-1

A:

Q: S. 2 dx x(3(\nx)*+121nx-15)2

A: Solution:-

Q: Solvey- dx OA7

A: We have to solve the differential equation…

Q: dx -3 x(x+1)

A: We know, ∫dxx-a=ln(x-a)

Q: [ (x²ex - 12/²7/1₁) dx x + 1,

A:

Q: dx 4. S; x2Vx2-1

A: Given: I=∫dxx2x2-1   ...1 As we know that; The trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: 1 dx 4x 12 /-

A: Our Aim is to integrate ∫2314xdx -(i)

Q: (メ+4) dx x2 + 2x+5

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: . Evaluate 4x dx and check your answer: -x²+1 e

A:

Q: 寸 dx. 2. 11+ズ

A:

Q: | Te2r– 11 2x dx 7e2a – 11

A:

Q: S(4x3 + 9x² + 4x – 1)dx -

A:

Q: V2-2 dx. w(In w)!/2 dw. mp

A:

Q: 5) S dx X5V9X2-1

A:

Q: - dx x² +16

A: Topic:- Integration

Q: 4 dx 16 + x2 -4

A: To find: The integration of ∫-44dx16+x2. Concept used: Integration formula: ∫dxa2+x2=1atan-1xa

Q: dx 25. /1 - x²

A:

Q: 7 x'dx 2

A:

Q: S (3K +8e -x) dx

A:

Q: -1) dx 3

A:

Q: x2 dx - 1

A: See the details solution in below

Q: 4 + x² dx 2

A:

Q: 1 dx xVx² – 9

A:

Q: 1 dx 5 (V² -9) x² – 9

A:

Q: x2 - 3x/5 + 1 dx 1/2 3r7/s

A:

Q: .2 dx Jo (9 + x²)2

A:

Q: V- 2 dx +1)

A:

Q: 1. y 10 – 2x6 dx

A:

Q: dx 9-3

A:

Q: Q3//A/ Evahuate 6. In(2)dx

A:

Q: S (3x + a)dx = 8 , then a =

A:

Q: 3 dx o v9 – x²

A: We know that,  ∫dxa2-x2=sin-1xa+C ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying…

Q: - 30 + 8x² | + 8a° dx =

A:

Q: S dx 36 - x2

A:

Q: √(x + 3) dx √16-x²

A: Solution

Q: 7x dx 19. (1 – x²)3

A:

Q: S dx 3x-1 b.

A:

Q: dx 28. 1– x4

A:

Q: Vx - 2 dx 5 x + 1)

A:

Q: ydy 1+ y²² = dx X when y(2) =3

A:

Q: SV+1.(*+2x² + x)dx

A: Please see the explanation below

Q: +ェ-4 dx x2 +2

A:

Q: Q2: Use trig substitution to find 2 + 4x +5 dx

A:

Q: Find ¹ d dx 1.8 √x -4,2x²2 +7x).

A:

Q: 3x dx S V4 - х

A: We have to evaluate the integral: ∫3x dx4-x Solving by substitution method. Assuming, t2=4-x…

Q: dx 3). S. x2+4x+5

A:

Q: 3X +|l dx X² - X-LO

A: We have to solve

Q: x2 – 25 dx 7) S-

A: