Sa 2x²+2+x³+x² =dx = [Aƒ (x) — B ln(g(x)] + D fb dx, and if A = ,B<0, then f(x) dx x+2 x² 2x + + 5 ln(x + 2) + C 2 x² -2x + +5In(x + 2) + C 2 x² 2x + 5 ln(x + 2) + C 2 x² 2x - 5 ln(x + 2) + C 2

Q: · (x−1)² √x d) f - dx =

A: To evaluate the following integral.

Q: The first derivative of f(x) 10x³ - 3 (5x4 - 6x)³ C. (3-10x³)√√(5x4 — 6x)³ A. = 5x² - 6x will be B.…

A: f(x)=15x4-6xwe know  (i) d dx(xn)=nxn-1

Q: dx 8x In(x) - 7x

A: I=∫dx8xln⁡(x)−7x

Q: 5x + 6x dx. Find х - 1

A:

Q: 2x + 1 (b) √ ² (1 − x) -dx

A:

Q: e* (x + 2) (x+3)² dx

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

Q: Differentiate the function below. y= (x2 + 4) (x² – 2) 8 d [(x? +4) (x² - 2) ® _ = O %3D dx

A: Ans is given below

Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

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

A:

Q: Vx - 2 dx 5 x*(Vĩ + 1)

A: I have stated the used formulas in the solution

Q: (x++) dx J x²+2x +5 2

A: Solution:Given     ∫(x+4)x2+2x+5dxFormula:∫dxx2+a2=1atan-1xa

Q: dx x²(81+x*)3/4

A: Given integral is: I=∫dxx2(81+x4)34 Let us substitute:…

Q: 2. [x² √x + 1 dx

A:

Q: FindS( 3x- 2x3 + 4x2 – 5x + 2) dx | |

A: We have to solve above question  And find integral

Q: - Vx²+1 (Ъ) xe dx

A:

Q: Find f(₂ + 2)(x - 7)dx + C

A: The given integral is: I=∫x+2x-7dx   As we know that, The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power…

Q: (² X x2 + 4x + 13 dx

A:

Q: If f (5f(x) + 2) dx = 4, then Si f(æ)dx =

A:

Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

A:

Q: x(x²-x+2) dx is equal to 3

A:

Q: f(4x + 1)dx if f(x)dx = 1. Find Enter the exact answer. f(4x + 1)dx

A:

Q: (c) Evaluate 0 √3x - x² dx.

A: Given: I=∫033x-x2dx   As we know that; ∫cosax+bdx=1asinax+b+C

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

A:

Q: d -(f(x² + 3x)) dx

A: Derivative

Q: Sx V(x² – 5) dx 3 2

A: We have to solve the given indefinite integral: ∫x x2-53 dx Solving the integral by using…

Q: Find (9x? - 8x + 2) dx. (9x² - 8x + 2) dx²

A: We know, ∫xndx= x(n+1)/(n+1) +C , C is a constant and for any real number n.

Q: ム× dx (x2+1) (3x-2)

A:

Q: x3+1 dx x3-x ii. dx iv. S: x(Inx)((Inx)?-3lnx+2)

A:

Q: √(x + 3) dx √16-x²

A: Solution

Q: -10 b) L,(x² + x)dx 10

A: