1 dx x2 -4

Q: d (e) -[3r + 2n*) = 15x* + 873 %3D dx

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Q: 1 -x' dx (6х +5)*

A: Note: -Since you have asked multiple question, we will solve the first question for you. If you want…

Q: -2 (x – 1)(7x + 7) dx = 2.

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Q: 1 dx 4x 12 /-

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

Q: 4- I = 57 4x+1 dx

A: Given: I=∫74x+1dx For evaluating given integral, we simplify given expression then integrate it

Q: -12 1. ("(25x – 46x + 3)dx -12

A: topic- definite integral if f(x) is a odd function∫-aaf(x)=0

Q: (2 – 3x²)² e -×dx= 208 a 19860 244 O 196 aO 8.

A: The objective is to solve ∫0∞2-3x22e-xdx

Q: 2 X 1 dx -2 4

A: Let's see a formula of integration. ∫a2-x2 dx = x2a2-x2 + a22sin-1xa + C We use this formula to…

Q: -3x (e* +e² )²e3x-2)dx (csc'(2x)dx

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Q: -4 6. |a + 3|dx – 1)³ydy -1

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Q: I'm a little confused, about how d/dx(ln4x) becomes 1/4x(4)

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Q: 2. S (3x- 12) x'dx (3х I dx 2.

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Q: хех dx (1+ x)2

A: ∫xex(1+x)2dx

Q: ч.) -17x° - 4 x + 3) ·dx

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Q: 3x dx - 25

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Q: (2x² - x - 1) x³ - x² ; 2 dx

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Q: 4 dx 16 + x2 -4

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

Q: メ dx 2X - 1

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

Q: e4z+1 dx e2r – 1 17.

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Q: x2 dx 1-x 12

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

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Q: 1 dx -3 (b) 2.

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Q: 4 ={(4x² -8) dx (4x² - 8) dx y = 1

A: Explanation and solutions is given below....

Q: dx 9-3

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Q: 3. S**dx х2-1

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Q: 1 -dx 8х — 24

A: ∫18x-24dx

Q: 6x² – 2x +5 dx? What is 2x + 1

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Q: 2 x³ dx Did you get an unusual answer? Can you explain it?

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Q: -3 12 dx /5x+1

A: Basic rules of integration are required.

Q: Find the following indefinite integrals:

A: Now,

Q: 2 x³ dx Did you get an unusual answer? Can you explain it?

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Q: 1 dx -x2-4х+ 12 X.

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Q: 35x dx ii. 321-x

A: Use the method of substitution to evaluate the limit. Let I=∫0135x3321−xdxAssume…

Q: 20 dx -1 Зе2х

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Q: (17) r/4- x² dx

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Q: 5. 二 250e-0.5x dx

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Q: Evaluate the following definite integrals:

A: Given definite integrals are,

Q: Sv 4. 3-4x² dx

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Q: 15. dx 16x* - 1

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Q: 3.5 | xv(16 – x²)3 dx 0.5

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Q: |x*(1- x5)*dx 6. 1

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Q: 38. ts dx x3- 1

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Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

Q: 16x4-25 dx equals 5+4x2

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Q: x-1 dx 2xーx

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Q: dx 2. x2 – 6x + 13 -4 dx 3. (x – 2)3

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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: (х-3) dx х" +3x-10 с)

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Q: x2 - dx. x -5 Evaluate (no calculator):

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