fy' In' ydy

Q: Find the indefinite integral. (Use C for the constant of integration.) 7 cosh(/x) xp

A:

Q: Evaluate the indefinite integral using substitution. (Use C' for the constant of integration.) x2 dx…

A: Given:  Let I=∫x2x3-3 dx To Find: To evaluate the given integral.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jx x5/2 In(x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) secó 4x tan 4x dx

A: Use substitution tan(4x)=t

Q: find the indefinite integral and check theresult by differentiation tan^2 y + 1) dy

A:

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

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ecos(st) sin(5t) dt

A: Given : ∫ecos5tsin5tdt

Q: Use a change of variables to evaluate the following indefinite integral. dx

A:

Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx

Q: Evaluate the integral So So -8 e dady by reversing the order of integration.

A:

Q: Evaluate the indefinite integral by using integration by parts2x cos 3x dx

A: Let u=x, dv=cos3x.Integrating by parts:

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 following indefinite integrals using integration by trigonometric substitution.…

A: Solution in done in step 2

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

A:

Q: Evaluate the indefinite integral. Use C as the constant of integration. de

A:

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

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Q: 9. S y(sin y)²dy

A:

Q: dx 13. S —7-8х—х2

A: We have to solve

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: Evaluate the indefinite integral. (Use C for the constant of integration.) [ (In(x))²6 dx X

A: topic- indefinite integral

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin20(x) dx

A:

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

A: Given: I=∫xx-6dx    ....1 Let, u=x-6⇒x=u+6 Now differentiate on both sides with respect to x.…

Q: Find the indefinite integral. (Usec for the constant of integration.) (2ti + j 6k) dt

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Q: 5 tan x dx sec x

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Q: x³ + 3x dx. x2 + 1

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Q: Evaluate the following definite integral with the given limits of integration and provide the EXACT…

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Q: 1 2 cos OS x dx 2

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Q: 2 "log(x²)\dx . -- log(x*

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

A: To find ∫ t5e-t6dt

Q: /2) dx

A:

Q: 3 18 dx 3x" + 2x

A: Given that general integration and we find its value . We know that integration of 1/x is :-  lnx +c…

Q: sin y 9. 1+sin y dy

A: To solve the indefinite integration.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx 1 + x20

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (71- - 8tj + In(t)k) dt

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Q: Use integration by parts to evaluate the definite integral te dt.

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2

A: To evaluate the given integral:

Q: Find the indefinite integral. (Use C for the constant of integration.) sec' 4x tan 4x dx

A: Topic- integration

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt 9 + tan(t) CoS

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Q: 2x CSC

A:

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

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Q: Evaluate the following definite integral using integration by parts. You must show

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Q: |x² In(x)dx

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Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

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

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) cosh(8x) dx

A: We have to find the indefinite integral ∫cosh8x dx.

Q: Evaluate the indefinite integral using substitution. (Use C for the constant of integration.) dx - 1

A:

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

A: ∫5cosh(x)xdxlet x=tdifferentiate on both sides12xdx=dtThen ∫5cosh(x)xdx=5∫2cosh(t)dt

Q: 3. エーy +3 dy Y+5

A: Given : I = ∫y3-4y + 3y + 5dy To find: Value of given integral. Solution:…

Q: 20. [ x sin² xdx

A: Use bypart integration .

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(In(5t)) dt t

A: Evaluate the integral: I=∫cosln5ttdt