Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the exact answer. V30 dx +C

Q: 1 dx х6—х

A: To evaluate the integral: ∫1x6-xdx Solution: ∫1x6-xdx On simplifying further we get:…

Q: Evaluate the integral by making the given substitution. Sx x +2 dx, u = x³ +2

A: The given integrand is  x2 (x3+2)1/2

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: Taking substitution

Q: Determine whether the following improper integral. does it congerge to? dx 2x- 1

A: Here we have, I=∫1∞x2x-1dx ⇒I=limb→∞∫1bx2x-1dx

Q: Evaluate the integral by making the given substitution. + 20 dx, u = x³ + 2o

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Evaluate the integral by making the given substitution.   ∫ Sinπ x dx , u =π x

A: Given integral is We will use the following substitution to evaluate the integral.

Q: Use a substitution to change the integral into one found in the table of integrals, then evaluate:…

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Q: Evaluate the integrals by making a substitution(possibly trigonometric) and then applying a…

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Q: Evaluate the Integral (9ze" )dz + C

A: Evaluate the integral.      ∫9xex+5 dx

Q: de V1+4x

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. 2x V…

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Q: Evaluate the integral by substitution a) "x sin(x?) dx

A: Given : ∫0πxsinx2dx

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration…

A: It is given that, ∫sec21x5x6dx   Here we'll solve this integral by using the substitution method.…

Q: Evaluate the integral by making the given substitution. x-Vx3 + 10 dx, u = x3 + 10

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: Given : Integral  ∫ex-21x-21dx   To find : Evaluate the given integral by using u-substitution?

Q: Evaluate the integral by making the given substitution.   ∫ x2  √( x3  + 1)    dx , u =  x3   +1

A: The integral formula to be used are: ∫xn dx=xn+1n+1+C, where C is an integral constant. The integral…

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Approximate the following integrals using the Trapezoidal rule. 0.5 b. dx d. re dx

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Stan(3x)dx 6.

A: We can find the integration using by parts as below

Q: V2m + 13 e dm

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Q: Je 3º sin 50d0 -30 7.

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: What u-substitution should be made in order to evaluate the following integral? dx (6x² + 4)* u =

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: In this question, we need to evaluate the integral by making a u-substitution and then integrating…

Q: 2х V 522 — 7

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: Evaluate the integral by making the given substitution. x³(10 + x*)7 dx, u = 10 + x4

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Q: Write the integral in terms of u and du. Then evaluate.

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Q: Use the substitution formula to evaluate the integral. dx 1. 22 11 11 O00

A: Solving the problem by substitute method.

Q: Evaluate the integral. x sec?(8x) da +C

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Q: Use the basic properties of the integral to calculate fo (u² + 6u) du. S (u? + 6u) du =

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Q: Use substitution to change the integral into one that can be evaluated by a formula from geometry,…

A: Solution; Consider the given integral: I = ∫1e525-(ln x)2xdx Substitute ln (x) = u du = 1xdxwhen x =…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We have to solve

Q: Write out and find the following integral. Sxe2" dx

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts the rule is…

Q: Evaluate the integral r ((tz) e sinz dz. where C:12| =l, by amy two Methads and results. 23 compare

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Q: Evaluate the integral by making the given substitution. xV+ 14 dx + 14 dx, u = x3 + 14

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Q: Find the integral by using the integral table on the inside back cover. (Rer 25x2 +36 dx + C

A: We will use substitution

Q: Calculate the following integral, La CUP x6 (x4 + a4)² a4 ) 2 dx, (a > 0).

A: In the given indefinite integral. The method of substitution is used to simplify the integrand.…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) |…

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: Integration

Q: Use MATLAB to PLOT and CALCULATE the following integrals. Label the x and y axes of the plot. -1…

A: We have to use MATLAB to PLOT and CALCULATE the following integrals.

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dx,…

A: Let I is the value of given Integral

Q: Use the Rectangle Property to evaluate the following integral. -5 (-13) dx 10

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Evaluate the integral using FTC I.

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Q: Compute the indicated integral by findng the area of the trapezoidal figure below. 110 4,0 F1 10 •5…

A: Given: A=∫35x+3dx

Q: Evaluate the following integral by changing the order of integration in an appropriate way: SSS2…

A: Evaluation of the triple integral, using order of change of integrals

Q: b) r.e dr

A: