Evaluate the definite integral two ways: First by a Uu-s definite integral and then by a u-substitution in the cc indefinite integral. NOTE: Enter the exact answer. cln 3 dx = e* + 3 In 3

Q: Evaluate the indefinite integral. 51 da cos (25x) +C

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Q: Find the indefinite integral by using the appropriate formula

A: Given: ∫cos4xdx   Formula used: cos2x=2cos2x-1   cos2x=1+cos2x2

Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

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Q: Evaluate the indefinite integral by using the substitution u = 6-x° to reduce the integral to…

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Q: Evaluate the indefinite and definite integral. 4x So √²+1 dx

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Q: Evaluate the definite integral. 1 dx За + 3 0.

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Q: Evaluate the given definite integral. 12x dx 12x dx = (Type an integer or a simplified fraction.)

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Q: Evaluate the indefinite integral: du + C.

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Q: -13 dx 2. So 3 ((1+2x)2

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Q: Evaluate the indefinite integral. 15 + x*dx + C

A: Using Integration by substitution.

Q: Find the indefinite integral

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Q: Find the indefinite integral.

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Q: Evaluate the indefinite integral given below. Provid [(-3x - 3)¹ dx

A: Given indefinite integral is ∫-3x-34dx We can solve using substitution method ∫xndx=xn+1n+1+C

Q: Evaluate the definite integral. 2 бхе* dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate the definite integral: 8 dx

A: Given integral, ∫388dx

Q: Evaluate the indefinite integral. 8 + x*dx + C

A: topic- indefinite integral

Q: Evaluate the definite integral | (16 – a*)dæ -

A: Please refer to the image below

Q: +oo So xe-dx = 1

A: Evaluate: ∫0∞xe-xdx Apply infinte integral property: ∫a∞fx dx=limx→∞∫axfx dx ∫a∞xe-xdx…

Q: Ssin( /3x)cos(-2r)dx

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Q: Evaluate the definite integral. 81 dx 49 xV In(x)

A: Substitute u=lnx,du=1xdx. When x=e81,u=81  and  x=e49,u=49.

Q: (In x)® + 1 5. dx

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Q: Determine the following indefinite integral. X 15-02 ex dx = dx, x < In 3 9- e 2x (Type an exact…

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Q: Determine the following indefinite integral. 324 dx, x> In 18 A dx 324- e2x Type an exact answer.…

A: The given integral is,

Q: Evaluate the indefinite integral. 9 + x°dx + C

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Q: Evaluate the indefinite integrals. (a) ƒ 2r(x² – 3)³ dx

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Q: Evaluate the definite integral. 8 dx 1

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Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

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Q: Evaluate the indefinite integral.

A: To integrate

Q: Evaluate the indefinite integral. S(4Vx- 6x³)dx , and • Identify what is the u=? and du=? Show the…

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Q: Evaluate the definite integral. 8. 3 10 dx 1

A: We need to evaluate the following integral ∫1810xdx

Q: Evaluate the definite integral. 6. e2x dx e2x + 3

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Q: Evaluate the indefinite integral: 6 – 4xe" dx + C.

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Q: Use a Table of Integrals to evaluate the integral. 2xdx Va4 +1 log la" + Vz +1|) Check your…

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Q: The undefined integral of the function [1+ cos x} power -1 is *

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Q: Give the corresponding indefinite integral. Show your complete solution. Answer must be handwritten.

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Q: Evaluate the definite integral. 10 2 dx =

A: Evaluate:I=∫210x+12x2dx                                  =I (say)

Q: Evaluate the definite integral. 7 dx 1

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Q: |(x² +7)dx 3

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Q: Evaluate the indefinite integral. 5e5z sin(e") dr

A: Given,  ∫  5e5x sine5xdx

Q: Make an appropriate u-substitution, and then use the Integral Table to evaluate the integral. (b) If…

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Q: Find the indefinite integral of Se-* cos e-*dx.

A: The given integral is: ∫e-xcos e-xdx We use the substitution method here.

Q: Evaluate the following indefinite integral. 1 √2 + 3x² Note: Don't forget your C! And be sure to use…

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Q: Evaluate the definite integral integral from 0 to square root of pi  xcos(x2)dx

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Q: | Evaluate the definite integral: 4+ 5x? dx

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Q: -2e dx

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Q: Evaluate the definite integral. 2 dz

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Q: Evaluate the indefinite integral 9. dx a. х

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Q: Evaluate the indefinite integral. x2 – 4 dx

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Q: Evaluate the definite integral.

A: The given integral is, ∫0214-x2dx The objective is to solve the integral.