6. S sec3 dx

Q: a dy ピ+3

A: Given

Q: 5. sech 2x tanh 2x dx

A: Consider the integral ∫sech2xtanh2xdx The objective is to integrate the function. Use the formula…

Q: 4. S sinºx dx

A: This question can be solved by applying the concepts of integration of trigonometric functions.

Q: 2- |In (=) dx.

A: ∫01ln 1x     dx

Q: 9) Find 5-2x - dx

A: Given: Find d2dx25-2x for finding second derivative, we find first derivative then find derivative…

Q: Evaluate (In x)³ dx

A:

Q: 8,1 CLASSWORK a.) 4x dx 2x +3 1-

A: To evaluate the given definite integral.

Q: In (5x- 2)dx In (5x-2)dx = %3D

A:

Q: х In 3x dx

A: Given:

Q: Evaluate. (Be sure to check by differentiating!) 6 7 STOCK *XX=-=-= dx, x# 7 + 6x 6 6

A:

Q: Differentiate. h(θ)  = etan 2θ

A:

Q: In (ax-1)dx

A:

Q: 4) sinh 2xdx

A:

Q: (1+2 In æ)4 -dx

A: Indefinite Integration using substitution

Q: S sec ydy

A:

Q: Evaluate S (2x+3) dx x² (x²+1)

A:

Q: Integrate S 3xe4 dx

A:

Q: In(3x – 2) dx

A: It is known that: ∫ln xdx=xln x-x+C, where C is the integration constant.

Q: ,3 In x dx

A: Solution

Q: 20) S(tanh (4– 3x) kdx

A:

Q: 2. S dt

A:

Q: 1 Evaluate (-, dx х-х3

A:

Q: Evaluate S(5 – 3x) dx using geometry. | 1 3.

A:

Q: (2х+1)2 dy 4. У - 1-2х dx 12/09/2021 10: 00

A: We have to solve the problem

Q: SVx In(x)dx

A:

Q: to of 3g dx Be

A:

Q: Calculate S√4-x² dx

A:

Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: Integrate N² xsin³ (x²)dx

A: Here we will solve given intigral,

Q: sec

A:

Q: Evaluate: S (2x - dx.

A: We Integrate each of the terms and apply the limits.

Q: 6) Find √ 3e^dx

A:

Q: 27. Find S." ( + 2x + 6) dx

A:

Q: Evaluate: L xyz dx dy dz 3 O 25/3 O 28/5 O 30/7 O 27/4

A:

Q: 6. 2 I (ve**)dx dy у /2

A:

Q: 1. Evaluate [(2sin 2x+3Tanx – 5 e-5* +4x' -7) dx .

A: Integrate each term

Q: Sec

A: Consider the integral  ∫sec5xdx

Q: 6). S csch* 2x dx

A:

Q: Sメtex dx

A:

Q: In 15 3e-2x dx In 8

A:

Q: + 2sin(x) + 7e"dx

A:

Q: 8. 6. sec²(3x) – V8)dx 6x + 9

A:

Q: Inx dx

A: Substitute Ln(x) = t and use integration by parts.

Q: 4 3x+2 dy %3D 2x-1 dx 12/09/2021 10: 00

A:

Q: Compute x1+ x² dx 3

A: Given,           ∫01x1+x23dx

Q: . In(3x) dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2 Find 11 csc (4x)dx 11 csc (4x)dx

A:

Q: Find 9x(6)* - 'dx

A: Given : ∫9x6x-1dx

Q: 9, (x2 + 2x - 5) dx

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: