Evaluate the integral by making the substitution u = x° – 7. + C

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: Evaluate the integrals below: cos3x a) dx, b) 2y Velina - 1) etsin3a)

A: We have to evaluate the following integrals, (a)∫cos3xesin3x2-1dx(b)∫012yy2dx

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, if it exists.  ∫01 y (y2  + 1)5 dy

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Q: 4 dx, u= 1 + 2x (1 + 2x)

A: Explanation: Given that: ∫41+2x3dx,      u=1+2x Concept: 1. ∫xndx=1n+1xn+1+C Calculation: First…

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

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Q: Evaluate the integral by making the given substitution. dx u = 7x + 8 (7x + 8) '

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Q: Evaluate the integral by making the given substitution.

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) -6x…

A: To evaluate the integral by making the given substitution. ∫e-6x dx, u = -6x

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: dr Evaluate the improper integral /, Tæ – 3)3/2 or state that it diverges.

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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: For the integral e4z – 10 dæ, if we use the substitution u = 4x – 10, what will be the new integral?…

A: We use substitution method

Q: Evaluate the integral by making the given substitution. [sec (3x)tan (3x)da, u = 3x +C

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Q: Evaluate the integral by making the given substitution. (U | cos12 0 sin 0 d0, u = cos 0

A: Given : ∫cos12θsinθdθ

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).…

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Q: Make the substitution u = and evaluate the resulting definite integral. +oo dx = V7x

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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. dx u = 7x + 4 (7x + 4)3 + C

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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: When applying the u-substitution technique to this integral, we will 99 S 2¤(x² – 1)™ dæ Which of…

A: We have to find subsistion

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

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Q: Evaluate the integral using an appropriate substitution. dx = +C x√√8-xd

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Q: Evaluate the integral by completing the square and using trigonometric substitution. dx s √5 + x −…

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Q: Evaluate the integral by making the given substitution.   ∫ x3(2 + x4)5  dx , u =2 +x4

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

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Q: Consider the integral dx x . Using u-substitution, what is an appropriate u and du? -2x 2e

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Q: Use the substitution a 3 sin t to evaluate the integral f V9 – x² dx.

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Q: evaluate the integral by making the given substitutions

A: Given,

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 by making the given substitution. | x³(7 + x4)7 dx, u = 7 + x* (7 +x^)4 + C 32

A: Given ;

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

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

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Q: The integral J dx can be evaluated using the substitution u = I. Select one: O True O False

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Q: Evaluate the integral by making the given substitution. sec(4x)tan(4x)da, u = 4x + C

A: To find following integration  I = ∫ sec(4x).tan(4x).dx

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

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Q: Evaluate the integral f 9(√x² + y²) dxdy.

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Q: Evaluate the integral by making the given substitution. dx (3x + 14)4 u = 3x + 14

A: We have to solve

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

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Q: Evaluate the integral and check your answer by differentiating. ∫ (2+y2)2 dy

A: The given integral is ∫ 2+y22 dy. Evaluate as follows.

Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

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Q: Use the substitution formula to evaluate the integral. T/20 (1.clan 5x) sec2 5x dx Select one: O A -…

A: Substitute the trigonometric function in some other variables.

Q: When applying the u-substitution technique to this integral, we will need to exchange dx for du. 99…

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