Evaluate the integral dx 11+ e* using the substitution u = 11 + e". e dx 11 + ea +C

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A: Solve the following

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Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: Given integral is: Using substitution and applying derivative:

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A: Given query is to find the integral.

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A: Let the given integral be I - I = ∫39∫57 xy+y5dx dy  Let's first integrate with respect to x (we…

Q: Evaluate the integral 24 11) dx, by making the appropriate substitution: u = Ja* (2* – 11)*“dz =

A: ∫ un du =un+1n+1+C

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Q: Evaluate the integral 20 | by making the appropriate substitution: u = 5 – 2 (2³ – 2)® dx %3D -

A: Evaluate the integrals

Q: Evaluate the iterated integral. 5 (ху) dy dx

A: Topic = Integration

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Q: Evaluate the iterated integral. V1- x8 dy dx

A: We have to find

Q: Evaluate the integral dx (8x + 3)3 by making the appropriate substitution: u = 8х + 3 dx (8x + 3)3…

A: Recall:    ∫un du=un+1n+1+c ; where c is an integration constant.

Q: Evaluate the iterated integral.

A: The given integral is ∫01∫0y6x+5y3dxdy

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Q: Evaluate In x dx exactly by changing it to a dy integral.

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Q: Evaluate the integral dx (7x + 6)2 by making the appropriate substitution: u = dx (7x + 6)

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Q: e*dx e2x +1

A: We know that; ∫axdx=axlna+C And ddxcot-1x=-11+x2   Given: I=∫7cot-1exexdxe2x+1   ....1

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Q: Evaluate the improper iterated integral. 1/x5 y dy dx

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Q: Evaluate the integral ez+1 dz a) 0 eZ+z

A: Given Data: Integrand: ∫01ez+1ez+zdz Let u=ez+z, The derivative of u with respect to z is,…

Q: compute the given approximation to the integral.

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Q: The value of integral .dz is (z – 1)?

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Q: the double integral dy dx Evaluate 2.

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Q: Evaluate the integral ∫dz/1 + ez

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: The improper integral fx dx is

A: An improper integral is the limit of a definite integral as an endpoint of the interval of…

Q: x? Use the residues to evaluate the improper integral: -dx . (x² + 1)(x² + 4)

A: According to the given information, it is required to evaluate the improper integral using residue…

Q: Evaluate the integral dx (2x + 4)* by making the appropriate substitution: u = dx (2x + 4)°

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Q: Evaluate the integral. dy e8y

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Q: Evaluate the iterated integral. (8x – 2y) dy dx

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Q: evaluate the iterated integral.

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Q: Evaluate the integral. yz dx dz dy O8 68 3.

A: We have to evaluate the given integral

Q: fx'e*dx

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Q: Evaluate the integral. In 2 ey dx dy

A: Explanation of the answer is as follows

Q: Evaluate the iterated integral. 9. .5 dy dx dz Jo

A: We need to evaluate integral.

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Q: Evaluate the improper iterated integral. 9. x2 dy dx 1 + y?

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Q: The improper integral dx is (x+2)S

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Q: Evaluate the double integral : re dy dx 4

A: Given,          ∫1e∫467xdydx

Q: Evaluate the integral in (7x) -dx. Choose the correct answer below. O A. - In (x) - 16 1 +C 16x* -In…

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Q: 1 -(5) dx (1 + 5x)* 4

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