Evaluate the improper integral or show that it diverges: 00 1 :- sin (x)

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Q: 1 S²₁x² ex³ dx 1

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Q: determine whether the improper integral converges and, if so, evaluate it.

A: Let us take limit k approaching infinity.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(In 12x) dx Cos In x +…

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Q: Evaluate the improper integral or show that it diverges. 16 tan-1 x dx 1+x² | 0.

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Q: Evaluate the integral or show that it is divergent.

A: Given: An integral

Q: Use correct notation to evaluate the improper integral or say that it diverges. S xe*dx -00

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Q: iii. 1-sinx

A: Perform integration

Q: S sin(Inx)

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Q: dx x In* (x)

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Q: sinh x dx 1

A: The integral ∫sinh-1x dx can be written as ∫sinh-1x·1 dx. Now use integration by parts to evaluate…

Q: Evaluate the following integral. - cosh x dx 2. sinhx- sinh x

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Q: Use correct notation to evaluate the improper integral or say that it diverges. 00 S xe-*dx -00

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Q: Evaluate the given definite integral using appropriate substitution: V2rdx =

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Q: 34 1 dx (x – 2)3

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Q: 10. dx 11. xe*dx -00

A: The objective is to evaluate the improper integral and state whether it converges or diverges.

Q: Determine, with justification, whether the integral below converges or diverges. dx x15-|sin a|…

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate…

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Q: Use a table of integrals to evaluate the definite integral.

A: Given: I=∫0π2xsin2xdx for evaluating given integral, we use integral by parts theorem according to…

Q: Evaluate the integral or show that it is divergent.

A: Given: I=∫2∞dxxlnx                           ..1 for evaluating given integral, we substitute lnx=t…

Q: Find the indefinite integral using the substitution x = 6 sec(o). (Use C for the constar…

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Q: dx X-1

A: Given : ∫xx-1dx

Q: Use the Table of Integrals to evaluate the integral.    ∫et sin (α t- 3) dt

A: To evaluate I=∫et sinαt-3dt

Q: Evaluate the improper integral or show that it diverges. 9. S- dx 0 (20 - 4x)

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Q: Evaluate the integral. 6. 2ex dx sinh(x) + cosh(x)

A: Consider the given integral.

Q: Evaluate the integral if it converges. Enter the exact answer, or enter na if it diverges. +00 -dx =…

A: Let I is the value of given Integral.

Q: 15 Ső 0 X √x+1 ах

A: We have to solve the given definite integral

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 indefinite integral. (tan- x) dx = || 1+x?

A: Given integral is ∫tan-1x51+x2dx

Q: .3 da

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Q: Determine whether the improper integral converges or diverges

A: Given: ∫1∞1-sin(x)x2 dx We have to check whether the improper integral converges or diverges

Q: Evaluate the following improper integrals. Tell whether it is convergent or divergent. dx

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Q: Evaluate the following improper integrals. Tell whether it is convergent or divergent. dx (x-1)%

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Q: dt

A: We have to find indefinite integral

Q: finite integral.

A: Here we have to evaluate the following integral,

Q: Use correct notation to evaluate the improper integral or say that it diverges. 00 S xe-x*dx -00

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Q: Evaluate the improper integral or state that it is divergent. dx 23) x2 - 25

A: Consider the improper integral  ∫6∞dxx2-25  from the indefinite integrals,         ∫6∞dxx2-25 =…

Q: Use the definition of the definite integral to evaluate ∫02 (3x2 +1)dx. Use a right-endpoint…

A: As a first step, let's plot the graph of the curve given to us. Let's call the curve y = f(x) = (3x2…

Q: Find the integral using the substitution u = Enclose arguments of functions in parentheses. For…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Evaluate the integral: S sin x In(sin x) dx

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Q: Determine whether the following integral is convergent or divergent. 2+ sin x dx. x² + Vx

A: Given improper Integral ∫0∞2+ sin(x)x2+xdx=∫0∞2x2+x+sin (x)x2+xdx…

Q: dx 2. S: 3 cos x+2 sinx-5

A: Evaluate the integral ∫dx3cosx+2sinx-5

Q: Find the indefinite integral ∫cosh √x / √x dx

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Q: Evaluate the definite integral. dx x(1+ In æ)

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Q: sec dx Eanx

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Q: Determine if the following integral converges or diverges: S sin(ln(x))dx

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Q: Evaluate the improper integral, and whether it converges or diverges.

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Q: dx o (x–1)? 2.

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Q: 3. Evaluate integral by using a basic substitution: S x² sin xdx

A: Given: ∫x2sinxdx To evaluate: The given integral.

Q: Evaluate the improper integral if it is convergent. (If it is divergent, type DIVERGENT 7e e-x/2 dx…

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