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

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

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Q: Evaluate each integral bY first making an a substitution. appropriate Sx(x²-1)" dx ल मैंढ a)

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) 5…

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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: 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.   ∫ Sinπ x dx , u =π x

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

Q: evaluate the integral in the form a sin(u(x)) + C for an appropriate choice of u(x) and constant a.

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Q: Evaluate the integral by making the given substitution.

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

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Q: Evaluate the integral f [[ - Y sin(x²)dxdy.

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Q: Evaluate the integral. x sec? (7x) dx + C

A: We have to find integral.

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Q: dx 4 sın*3x tan

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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. [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 the given substitution. sec(2x)tan(2x) dx, 2x +C

A: Solving the problem by doing the integration.

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 using the given substitution. Sx cos (10n2) dx, u = 10x² sin (10x²) - C sin…

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Q: Evaluate the improper integral xe d

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Q: Evaluate the integral.

A: Given: I=∫1-xx2dx for evaluating given integral, we expand given expression and find integral

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x3…

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Q: sin (x²) + C

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Q: Evaluate the integrals: A: So So x sin y dy dx

A: ∫0π∫0xx siny dy dx

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A: Given : ∫0a3  3x2cosx3dx , where a is some positive real number

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

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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: Find the integral by using the integral table on the inside bac dx x(x + 5) + C

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Q: Evaluate the integral.

A: ∫x24-x232dx Put, x=2sinθ⇒1=2cosθ·dθdx⇒dx=2cosθ·dθ

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration. 9 +…

A: Solve the following

Q: Evaluate the integral. 7e" sin x dx +C

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

A: Let I is the value of given Integration.

Q: Evaluate the integral.

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

A: We need to evaluate the following integral  I = ∫cos6xdx…

Q: Evaluate the integral

A: ∫1+x2xdx Put, x=tanθ⇒1=sec2θ·dθdx⇒dx=sec2θ·dθ

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: T So sin(x)dx

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

A: Topic = Integration

Q: Evaluate the integral. dx + C

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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: Evaluate the integral ¹9(√x² + y²) dxdy.

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Q: Evaluate the integral. π/4 Jo 0 sin5(x) dx

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

Q: Evaluate the improper integral or show that it diverges: 00 (a) xe dx 7/2 (b) tan x dx

A: a) ∫0∞xe-xdxb) ∫0π2tanx dx