Find the Indefinite Integral by making a change of varlab of Integration.) dx

Q: cosh cosh 1x dx

A: To Determine: find the integral  Given: we have ∫cosh-1xdx Explanation: we have integral ∫cosh-1xdx…

Q: Evaluate the integrals ∫tanh 2x dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | (in(x))6 dx х

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Q: ) 「ざs")dx

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Q: Evaluate the integrals in ∫x(ln 2)-1 dx

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Q: aluate

A: We have to evaluate the following integral.  c) ∫1(x2+1)32dxd) ∫1x3x2-1dx

Q: Evaluate the following integrals using integration by parts.

A: The given integral is: ∫24y lnydy To solve this integral, apply the integration by parts formula: ∫u…

Q: Evaluate the given integral. Use integration by parts 4x' In(5x)dx

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Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: Consider the given integration as

Q: | (3x – 2)2 dx.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the improper integral. If the integral diverges, state so. dx 1. dx 2. (x + 1)² 0.

A: 1.Given, II=∫1∞dxx23As it is an improper integral,we write it as=limt→∞∫1tdxx23=limt→∞∫1tdxx232…

Q: Evaluate the integral. (Use C for the constant of integration.) dr

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Q: Evaluate the integral in terms of Beta function: x23 (1– ) dx OB (25, 5) OB (23, 3) OB (24, 4) OB…

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Q: Evaluate the integrals ∫ ln x/x4 dx

A: The given integral is, I=∫lnxx4dx Substitute, lnx=t ⇒1xdx=dtx=etx3=e3t Therefore, the integral…

Q: Evaluate the integrals.

A: We have to evaluate ∫15dx Solution: We know that ∫dx=x Evaluating the given integral,…

Q: Evaluate the integrals using integration by parts. ∫eθ sin θ dθ

A: ∫eθsinθdθ

Q: Find the indefinite integral. (Use C for the constant of integration.) | In(er - S) de

A: First simplify the expression inside the integral then integrate.

Q: Use integration by parts to evaluate the definite integral. 8t? In(t)dt Give an exact answer

A: ∫1e8t2lntdt=8·∫1et2lntdt=813t3lnt-3·∫t23dt1e=813t3lnt-3·t391e=813t3lnt-t331e=82e39+19=82e3+19

Q: Find the indefinite integral. (Use C for the constant of integration.) an(x) In cos(

A: The given integral is: I=∫9tan xlncos x dx

Q: Evaluate the integrals ∫ ln x/x3 dx

A: Evaluate the integrals  ∫lnxx3dx

Q: Evaluate the following integral using integration by parts. In 6 хеX dx

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Q: x³ + 3x dx. x2 + 1

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Q: 3. Evaluate the integral 3 dx dy by reversing the order of integration.

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Q: Use integration tables to find or evaluate the integral.

A: To evaluate: ∫01x1+ex2dx Evaluating the given integral, Let substitute  t=x2 dtdx=2xdt2=xdx…

Q: Evaluate the improper integral or show that it diverges. (1+4x)e*dx

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Q: Evaluate the integral x2 cosh 2x dx.

A: Given:

Q: Solve the following integral using integration by parts: In finx dx √x

A: To evaluate the given integral∫ln(x)xdx using integration by parts.

Q: Find the indefinite integral. (Use C for the constant of integration.) | cosh(5x) dx

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Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

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Q: Compute the integral below using integration by parts. ( 2, 5x sin xdx 2 Please write your answer as…

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Q: In x - dx

A: Given integral,           ∫eelnxx2dx

Q: Evaluate the integral. (Use C for the constant of integration.) x-5 dx

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Q: Find the integral by using the appropriate formula. (Use C for the constant of integration.) In x dx

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Q: Find the indefinite integral by using substitution followed by integration by parts. ∫2x3 cos x2 dx

A: Given integral, ∫2x3cosx2 dx

Q: Evaluate the integral. (Use C for the constant of integration.) (3* – 5*) dx

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Q: Find the indefinite integral. (Use C for the constant of integration. 5 coshyx) de

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Q: Evaluate the integral, if it exists.

A: Given: An integral ∫03|x2-4|dx x2-4>0, for x≥2 x2-4<0 for x<2 Thus,…

Q: |x² In(x)dx

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Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: This integral comes under substitution and the substitution is,

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx

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Q: Evaluate the following definite integral by using the method of integration by parts. x In(x) dx

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Q: 2. xem di

A: The given integration, ∫xe3xdx use integration by parts, ∫u dv=uv-∫v du use the formulas,…

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: On simplification, we get

Q: S 3xe*dx

A: Given problem :- ∫ 3xex/2 dx

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 4 +…

A: Given

Q: Evaluate the integral. (Use C for the constant of integration.) 7 In(x) dx 4 + (In(x))?

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Q: evaluate the integral or state that it diverges.

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Q: Evaluate the following indefinite integral: - Va)² dx Integral =

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Q: Evaluate the integrals using integration by parts. ∫θ cos πθ dθ

A: Given: ∫θcosπθdθ