compute the integral of    "(sinx * tanhx ) / ln(x+0.01)" from 1 to 5 to at least 6 significant digits.

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges

A: Consider the given integration as Use the special formula of integration which states

Q: Evaluate the integral if it converges or show that it diverges: integral 1 to 9 1/(√x−3)dx.

A: Given that : 1/(√x - 3)  evaluate the integral between 1 to 9. And also check it is converges or…

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A: ∫0510xdx

Q: Calculate the integral, if it converges. If it diverges, diverges for enter your answer. Ji 16 dx…

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

Q: Evaluate the definite integral S (1+ 2x) dx using Riemann sum.

A:

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges

A:

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A: We have to evaluate the improper integral diverges or converges. For this integral, Using

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

A:

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

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Q: Find the lower bound of sum 2-1 using an integral

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Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges

A:

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A: Given definite integral is ∫0elnx2dx.

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

A:

Q: Find the approximate value of integral from 0 to 10 1/√(x2+1)dx to 4 decimal places using Simpsons…

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Q: convert the indefinite integral into definate integral using the interval [0,1]

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Q: sin' 2xcos 2.xdx 7 5.

A:

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

A: We need to evaluate integral.

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A: The given integral is ∫05125-x2dx. Check the convergence as follows.

Q: Use time series to approximate the value of the integral, calculate the first three terms 1-cos(x)…

A: Given that, ∫011-cosxx2dx   As we know, Taylor Series Expansion of cosx, cosx=1-x22!+x44!-x66!+ . .…

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

A:

Q: Determine whether the improper integral converges or diverges, and if it converges, find its value.…

A: A  improper integral is an improper integral with  trouble spot, that trouble spot being at an…

Q: From an integral equation corresponding to the diffrential equation

A: Differential Equation

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

A: Here we check the convergence of the given Integral.

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A: Let the given integral be y - y = ∫01x lnx dxy = ∫01lnx x dxIntergration using by parts - ∫uv dx =…

Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it converges…

A:

Q: Evaluate the integrals using integration by parts. ∫e-2x sin 2x dx

A: the given integral is: ∫e-2xsin2x dx we have to evaluate the integral by using integration by parts.…

Q: In x dx 5.

A: Our Aim is to ∫ln (x)xdx -(i)

Q: Approximate the integral from 3 to -3 of (2+x2) dx using five equal subintervals.

A: We have to divide -3 to 3 into five equal subintervals.Length from -3 to 3 is 3 - (-3) =6So length…

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

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Q: Calculate the indefinite integral S (2Vx3+3)(2Vx3 – 3) dx

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Q: The integrals converge. Evaluate the integrals without using tables

A: Evaluate the integral ∫0∞16tan-1x1+x2dx.

Q: Compute the indefinate integral. integral (1-sin^2(x))/cosx * dx

A: Consider the given integral.

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A: ∫1∞1x lnxdx Now consider, limt→∞∫1t1x lnxdx Put, lnx=u⇒1x=dudx⇒1xdx=du

Q: solve the integral: I2=  integral limit from 0 to 4= 1/((x+1) squar root of 2x+1) dx

A:

Q: 5. Find the area under the curve integrate 2/(9 - x ^ 2) dx

A: Given;           ∫29-x2 dx Take the constant out: ∫a.fx dx=a.∫fx dx           =2.∫19-x2 dx Apply…

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A:

Q: 2. Calculate the indefinite integrals for the following functions as integrands:

A: c. Given integral, ∫sin-13x dx

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges

A: Our Aim is to evaluate the integral given below:-I=∫0∞sin x2 dx -(i)

Q: da x2 -4

A:

Q: the indefinite Integral In(cosh x + ex)- A In(cosh x +ex) Sinh x + e* cosh x + ex (В sinh xtex sinh…

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Q: Determine whether the integral is convergent or divergent.   integral from 2 to 3 21/ sqrt(3-x) dx

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Q: Evaluate the integral In (x) -dx if it converges. Submit "undefined" if it diverges.

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Q: Evaluate the integrals using integration by parts. ∫ tan-1 3x dx

A: Now,

Q: Evaluate the definite integral S (1 + 2x) dx using Riemann sum.

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Q: In the indefinite Integral in(cosh x + e*). sinh x + ex cosh x + ex dx, what is the integrand?

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Q: 20. [ x sin² xdx

A: Use bypart integration .

Q: Find the indefinite integral \int sin^(7)2xcos2xdx

A: