Write the integral in terms of u and du. Then evaluate. x(x + 1) dx, u = x + 1 (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) x(x + 1)6 dx =

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: Write the integral in terms of u and du. Then evaluate. (In (x)) 16 dx, u = In (x) (Use symbolic…

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Q: Evaluate the integral. 3 x e* dx = +C

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Q: Write the integral in terms of u and du. Then evaluate:  ∫ (x − 7)3 dx, u = x − 7

A: ∫x-73 dx Put, u=x-7⇒dudx=1-0⇒du=dx Therefore, ∫x-73 dx=∫u3 du

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

A: Taking substitution

Q: Write the integral in terms of u and du. Then evaluate. x(x + 1)5 dx, u = x + 1 (Use symbolic…

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Q: Evaluate the integral by making the given substitution dx, u = x³ -6 -6

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Q: Write the integral in terms of u and du. Then evaluate. [x√97 (Use symbolic notation and fractions…

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Q: 2x dx ,(x2 +1)2 - 00

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Q: Evaluate the integral х3 dx x2 +49 х3 dх x2 +49 (Use C as the arbitrary constant.)

A: We substitute x^2+49=t, then the given integral become

Q: 2 dx a) Evaluate the integral by completing the square and using a substitution 2 x2-6x+10

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Q: Evaluate the integral x(x – 5)7/2 dx by making the substitution u = x – 5. After substituting we…

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Q: Evaluate the integral. + C 11 12 e – 2x dx

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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: Evaluate the integral |x'(x* – 7)6 dx, by making the substitution u = x* – 7. +C Note: Your answer…

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Q: Write the integral in terms of u and du. Then evaluate. (In (x)) 18 dx, u = In (x) (Use symbolic…

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Q: dx h) S x2+4x+8

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Q: Evaluate the integral. (Use C for the constant of i 4x2 + 3x + 4 dx (x² + 1)2

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Q: Evaluate the integral (* - 11)"dz, by making the substitution u = x* – 11. + C

A: We will solve this integration by substitution

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 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: Write the integral in terms of u and du. Then evaluate. x(x + 1)17 dx, u = x + 1 (Use symbolic…

A: Topic = Integration   Forula used∫xn  dx = xn+1n+1+C

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. x2 e dx +C

A: Here, to evaluate: ∫8 x2exdx=8∫x2exdx

Q: Evaluate the integral. C x² e* dx NOTE: Enter the exact answer.

A: As per guidelines we have to solve one question Please repost the other questions again

Q: Evaluate the integral : 5x-x? dx (x-1)(x+1)² +C

A: We have to solve the integration

Q: a. Use a computer algebra system to evaluate the following integrals. i. xe" da i. x² e" dx ii. iv.…

A: As per our guideline, we are supposed to Answer  only the first three subparts , to get remaining…

Q: Evaluate the integral by making the given substitution. dx u = 3x + 9 (3x + 9)3 + C

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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: 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. | (3x – 1)° dx, u = 3x – 1 (Use symbolic…

A: Solved below

Q: Evaluate the integral? U sub? I/m not sure.

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Q: Write the integral in terms of u and du. Then evaluate. xv9x + 4 dx, u = 9x +4 (Use symbolic…

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

A: We have to solve

Q: Write the integral in terms of u and du. Then evaluate. / In (x))° dx, u = In (x) (Use symbolic…

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Q: (x² + 2x) cos(2x) dx

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Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

A: To find length of curves y=e-2x on interval 30,24. Length of the curves will be:…

Q: Evaluate the integral, then find 1- 3a. w – 1 dw - = w + a ln (w+ 1) + C w + 1

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Q: Write the integral in terms of u and du. Then evaluate. xV9x + 4 dx, u = 9x +4 (Use symbolic…

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Q: Evaluate the integral. 4 – e2× dx = +C

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Q: Write the integral in terms of u and du. Then evaluate. | (4x – 3)" dx, u = 4x – 3 (Use symbolic…

A: Integration

Q: Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de -…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Write the integral in terms of u and du. Then evaluate. (2x + 21)-2 dx, u = 2x + 21 (Use symbolic…

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Q: Write the integral in terms of u and du. Then evaluate. | (In (x)) dx, u = In (x) (Use symbolic…

A: The given integral ∫lnx5xdx

Q: Write the integral in terms of u and du. Then evaluate. (In (x))° dx, u = In (x) (Use symbolic…

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Q: Evaluate the integral. 5 x2 e dx +C

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

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Q: Sx² Vx – I dx

A: Given query is to find the value of integral.

Q: esin(e")dx 8 cos (e*

A: Evaluate: ∫exsinexdx8cos2ex

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (3x²+2)³ J…

A: Given: I=∫x33x4+23dx     ...1   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1