Evaluate the definite integrals integral from 1 to 2  of  2 x2 √(x3 +1) dx Evaluate the indefinite integrals integral of sin2(3teta)cos(3teta) d?

Q: 1. Evaluate the definite integral below. Leave your answer as a radical. 5 2x2 dx | 4x³ + 33 -2

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Q: Find the indefinite integral. |x cos 8Tx? dx Step 1 To find the indefinite integral x cos(8tx²) dx,…

A: The given indefinite integral ∫x cos 8πx2 dx

Q: Evaluate the indefinite integrals using Substitution. (use C for the constant of integration.) a)…

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Q: Using an upper-case "C" for any arbitrary constants, find the general indefinite integral -5 -5x? +…

A: We expand the integration

Q: Evaluate the indefinite integral / ( 3: x? + 2 + 4 dx x2 Evaluate the indefinite integral 3 + 5e* )…

A: Given : ∫3x2 + 2x2 + 4dx∫3x + 5exdx

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 9 – 9 sin? 0 do • T/4…

A: Here,  I=∫0π49-9sin2θ7cos2θdθ

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: ∫cosx dx = sinx+C dxndx=nxn-1

Q: Evaluate the indefinite integral. Use symbolic notation and fractions where needed. Use C for the…

A: To evaluate ∫37sin(x)-38cos(x)dx ∫37sin(x)-38cos(x)dx=∫37sin(x)dx-∫38cos(x)dx (Integrate term by…

Q: 8. Integrate the following definite integrals. Express answers in exact form (no decimal fractions):…

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Q: Evaluate the indefinite integral. 3 tan (0) cos (0) d0 (Express numbers in exact form. Use symbolic…

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Q: e7x cos4x dx

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Q: Evaluate the definite integral from 0 to 1,  x^29e^-x^(30) dx

A: follow next step

Q: 62-a2 x dx = cos(x) dx = 1, together with the properties of definite integrals, to evaluate (2…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Given: ∫0π2esinπxcosπxdx

Q: Use substitution to evaluate the definite integral given below. 1.³ (Enter an exact answer.) Provide…

A: We have to solve the given definite integral

Q: 2x

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Q: Find the indefinite integral using the substitution x 3 sin(0). (Use C for the constant of…

A: Given,            ∫19-x232dx

Q: Evaluate the indefinite integral. 17 dx 9 + x2 Give your answer in exact form. Use C as the constant…

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Q: dx 3 (x² + 16)7

A: We have been given the integral  ∫1(x2+16)32dx       (1)

Q: 22. sin x sin(cos *) de

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: 16. Consider the integral  sin x cos x dx.(a) Solve this integral by using u-substitution with u…

A: Given, ∫sinx cosx dx

Q: Find the indefinite integral using the substitution x = 8 sin 0. (Remember to use absolute values…

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Q: Evaluate the definite integral: Si a - cos 2a dx on the interval [a, b] = [0,4]. Enter your answer…

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Q: 3. Consider the integral / sin x dx. (a) Evaluate the integral by an appropriate reduction formula…

A: Reduction formula

Q: V5-sec´x xdx 4. x -2x+5 sin x dx 3.

A: Given indefinite Integral ∫xdxx2 - 2x +5  To solve this first simplify the denominator by complete…

Q: Evaluate the definite integral. r1/16 sin-1(8x) dx Jo V1- 64x2

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Q: r H+ sin x sin 2x dx 2 cos X

A: Solving the problem by finding the value of the integration.

Q: Evaluate the definite integral two ways: First by a Uu-s definite integral and then by a…

A: See the details solution in below

Q: Evaluate the definite integral. Use a graphing utility to verify your result. • T/4 6 – 6 sin2 0 de…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Evaluate the indefinite integral. 9 sin (2)cos(z)dr + C

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Q: Evaluate the definite integral. 38   ? x37cos (x38) dx   0

A: The given integral is: ∫038x37cos(x38)dx To evaluate this integral, consider x38=t  ....(1) Now,…

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: |x2 cos(Зx) dх

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Q: Find the general indefinite integral or evaluate the definite integral, as necessary. a) S sin nt…

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Q: Consider the indefinite integral x 9. x'+1 dx: 5. This can be transformed into a basic integral by…

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Q: Find the indefinite integral. |x cos 9mx² dx Step 1 To find the indefinite integral x cos(9tx²) dx,…

A: Given that: ∫xcos9πx2dx

Q: cos²x sin2x dx

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Q: 2 luate / sin³ (3) cos¹ (3) dr. COS 1. Evaluate

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Q: Evaluate the definite integral: integral from x=0 to Pi/2 of cosxsin(sinx) dx

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Q: Evaluate the following definite integrals Lx finck if fo for if xxO (sin x 1 x >0

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: .A: The integral of the following function: In(sin² x) dx tan(x) ay be expressed as: A In®(sin x) +…

A: Topic:- integration

Q: Evaluate cach of the following integrals using any suitable technique (or com- bination of…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: 1 3sin*(2пх)dx 4 (2πx)

A: GIVEN DATA : Integral ∫0143sin42πxdx Let the given integral I=∫0143sin42πxdx Take the constant out…

Q: Evaluate the indefinite integral. sec2 e6 tan (Ø) d0 (Express numbers in exact form. Use symbolic…

A: We use substitution method to solve this integral.

Q: X -dx 3. Using a suitable change of variables, determine the indefinite integral: √1 x² [ (sin² x)…

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Q: Find the indefinite integrals. 1. ∫ (8 - (1/x4))2 (1/x5) dx

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Q: ! -<0<, an integral was transformed to the form 11 -do. sin 0 cos³0 In terms of x, the integral I is…

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