(2 |2* 2 –1 – 1|x dx

Q: Evaluate the integral. x? + x + 1 dx (x² + 1)²

A: To evaluate the given integral

Q: Evaluate the integral | a (2° – 5)26 dx, by making the substitution u = x6 - 5. +C Note: Your answer…

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Q: find formulas for the functions represented by the integrals.

A:

Q: calculate the integral of: e(x^2/2)

A: We'll use the Maclaurin series expansion for e^(x^2/2).

Q: dx b. (x² + 1)(x² – 2x + 1) -

A:

Q: Evaluate the integral. | a cos(4 x) dæ

A: A detailed solution is given below

Q: Solve the integral: A B D 3√√√x² +C 6√x +C + C 6 √x 3 3√x dx

A: We have to solve integral

Q: B. Solve the following integrals. 1.) ²(x + 1)dydx

A:

Q: Evaluate the integral: ſo (x³ – 5æ + 7)dx. Select one: O None. 19

A: Given :∫01(x3-5x+7)dx

Q: Evaluate the integral : dæ +C (x-7)(x+7)

A: We have to solve the integration

Q: The indefinite integral [ /xx'dx is А. 5 В. +c C. +c D. 2.

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Q: dx 2. S х2—х

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Q: Evaluate the integrals: cos2x-1 а. cos2x+1 dx b. S- x (Iпх)5 1 S 2-**x?dx с.

A: Topic-. Integration.   Note - as per our guideline only first three subparts to be solve others can…

Q: 2 - dx x2 +1 01

A:

Q: x²dx Evaluate the integral x6 +1 O A. 12 O B. 6 OC. 2 D. 3 O E. 4

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Q: Find the integral of (1 2x) e^ (-x) dx from x-0 to x=. с. 2 А. 3 в. 4 D. 1 O B

A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx =…

Q: 11. Obtain the integral of (5x-1)³ dx from x = 0 to x=1 25 A. 51 5 C. 51 4 B. D. 4 51 20

A: Topic = Integration Correct option = B

Q: (2) Find the integrals: x² 2 • S √36x² dx

A: Given ∫x2 36-x2dx

Q: Let b 2 4 be an integer. What is the result of the integral dx ? D) 0 E) 0 - 0o (the result of the…

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Q: Solve the integral: A B C D 6√√x +C 3√x² + C 6 33³√/ x² +C √√√x 37 ကြ 3√x dx

A:

Q: Find the value of the integral T x² da (x²+9) (x²+4)²

A: To find- Find the value of the integral ∫-∞∞x2x2 + 9x2 + 42 dx

Q: Evaluate the integral. .2 5) t + dx t 1

A: Given,   ∫12t+1t2dx

Q: Solve the integral: A √√x 3 B 3√√x² +C √x² + C 6 D 6√√x +C اسے I dx

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Q: 0 (2x-√√x) da

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Q: Determine the integral solutions for which x and y are positive. 2x + 5y = 17

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Q: I² +x – 5 dr. I+3

A: ** As per our guidelines we are supposed to answer only one question at a time. Since you have…

Q: B. Solve for the integrals of the following: 3x2 dx -5 COS xesinx -dr c) ] 4 4x a) b) dx esin z

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Q: 7x Evaluate the definite integral : dx (6x2+2)2

A: Given,          ∫017x6x2+252dx

Q: Which of the following integrals is equal to the integral f(3x-5) dr? (A B) 3 7/3 © I s(:) dz 7/3

A:

Q: Evaluate the integral 0.8 x · In(6 sin r) dæ.

A: Let us assume: u=6sinxdu=6cosxdxcosx·dx=du6 At x=0.2, u=6sin(0.2) At x=0.8, u=6sin(0.8)

Q: (4) Recall the formulac: (5) Find the integrals: • ftan² (x) dx t: Is ta SC

A:

Q: Find the integral:

A: Recall the formula:

Q: d) Determine the infinite integrals of the following e+2 i. ii. 2 3 sin2x dx

A: Evaluation of the integral

Q: 82y-3v° (y² – y) dy

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Q: So 0 Evaluate the integral, if it exists. exc 1+e2x dx

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Q: Find the indefinite integral. a. -+c -7x + C e а. 1 b. -7x + C 7x 1 -7x - +C с. 7 d. -7e-1x + C e.…

A:

Q: Evaluate the integral of (e^x)^(1/2)

A: Given the integrand (e^x)^(1/2) Evaluate the given integral using u-substitution method. Let

Q: Evaluate the integral. *3 7 39+x² dx

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Q: e 2x Evaluate the integral of e* +1 xp-

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Q: In(x) -dx Evaluate the integral m(2)

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Q: Evaluate the definite integrals. (a) ſ°, 2r(x² – 3)³ dx

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Q: b) Evaluate each of the following integrals: 2 i) | cos(2x)dx, 4x3 -dx. 1+ x* ii)

A: Explained below

Q: Evaluate the integral. B 4х- 3 dx J2

A: To evaluate:

Q: Evaluate the integral. 13 dx 1 O A. 0 О В. - 13 13 Oc. -ze? O D. 13

A:

Q: Find the integral. dx O A. 5x e* - In |x| +C O B. 5e* - In |x| + c 1 О с. 5ех. + C 2x? 2 O D. 5eX +C…

A: The solution is :

Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

A: Use integration by parts for solving it,

Q: + 2 e 1.

A: Evaluate:

Q: Find the integral [(x** +(-1)°x*!) In((a+2)x)dx b+1 с+1

A: The integral has been solved n attached in the second step.

Q: Evaluate the integrals: i) ² ²2 xe dy dx **² -xz

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…