YOUR TURN 4 x +3 dx. 2+6x Find

Q: 9 — х dx x (х — 3)2

A:

Q: 3 Evaluate / -dx (r-4)²+4

A: To find:∫3x-42+4dx

Q: my- (4x5 + 9) 3 find dy dx

A:

Q: х—12 dx 3 (x-5)°

A: The given integration is ∫x-12(x-5)3dx We have to evaluate the value of the given integration.

Q: dx 5 — 2х

A:

Q: 5x2 8 Find dx 4 9x

A:

Q: dx V1+4x²

A: Consider the indefinite integral, ∫dx1+4x2 To solve this integral, apply u-substitution. Substitute…

Q: Calculate f

A: The integration of the expression is given by . According to the definition of the definite…

Q: c ex '+2) dx + 2x -3

A:

Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

Q: 43x2-2x dx . | Evaluate x + 2

A:

Q: /3x² + 2 dx 10.

A:

Q: dx (9 – 4.x²)³/2 2,3/2

A: Use substitutions to make it more simple

Q: dx 4х + 3

A:

Q: dx (x + 6)³

A: We will give the formula given at the bottom of the page to answer this.

Q: Fnd -13 2/3 dx

A:

Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

Q: -6 3 dx . x² – 25 2. Evaluate |-

A: Topic- Integration

Q: (4x³ + -- 7*)dx

A:

Q: r1 (1 – 2x)2 dx

A:

Q: •5 | Vx2 – 9 dx 3

A: Integral formulae: ∫x2-a2=x2x2-a2-a22lnx+x2-a2+C Given integral is: I=∫35x2-9dx Comparing given…

Q: r9 2x-/¤ dx

A: We need to evaluate the integral∫192x-xx3dx

Q: dx и 3 2х + 2 (2x + 2)4

A: To evaluate this integral we use method of substitution.

Q: x+3 dx. 2x -7

A:

Q: 2x -edy+alye -x) dx

A:

Q: 2. 7ー dx - 2. 7-X 3

A:

Q: 6 x V1+2x dx 20 15 25 13 30

A: Consider: ∫046x1+2xdx. Let v=1+2x  Implies v2=1+2xv2-12=x When x=0 implies v=1+20=1 and when x=4…

Q: 3 2 (x+2) dx (x-1)3

A:

Q: evaluate ∫ (top of ∫ is 16, bottom is 9) (-x^(-1/2)+5) dx.

A: We need to evaluate ∫916(-x-12+5)dx

Q: S (2ズ-4x-D dx

A: By using Trigonometry substitution

Q: у %3D (3 — 2х — х?)(х + 3)(1 — х)2 , find dx

A:

Q: 1 dx -3 (b) 2.

A:

Q: dx = 4. 十1日 2)

A: Definite integral: - The area of a curve in a graph can be calculated using the Definite Integral.…

Q: 3x² + 2x t 3 dx と 20

A:

Q: 20 dx -1 Зе2х

A:

Q: S₁ dx J2x (J2x +9)

A: To solve the given integral.

Q: L₁ (2x - e²x)² dx

A: Given integral is ∫-10 2x-e2x 2 dx

Q: 0.6 T² 9 - 25x² dx

A: The given integral is x2/sqrt(9-25x2), limit from 0 to 0.6.

Q: Sx (x² – 2)14 dx

A: Use algebraic substitution to integrate then simplify.

Q: dx 2-1

A: Integration.

Q: 6. dx V 49 - (x + 7)2

A:

Q: Evaluate I 6 dx 3-2X -x2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: S1. 2 r/1+ 3x² dx

A:

Q: YOUR TURN 5 Find -3x dx. ca

A:

Q: S5-3* dx =

A: Recall: ∫ax dx=axln(a) d(ln x)dx=1x

Q: YOUR TURN 3 x + 1 Find dx. (4x² + 8x)³

A: We need to evaluate the integral. We will make use of the substitution: 4x2 + 8x = u Hence, (8x + 8)…

Q: (x5—6х4-2х2-Зx+4)dx Q2: х2+2

A: This question is based on simple integration

Q: Sx(6x² – 5)² dx

A: here we use integration formula ∫xndx =xn+!n+!