8. Explain why the formula for the integral of x* does not apply when k = -1. What is the integral of x-1?

Q: 5-e* 2x

A:

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A: topic- integration

Q: 2.- In the following problem, use properties of the definite integral, either definitions or…

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Q: Find the formula for the function represented by the integral.

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Q: Estimate ë to five digits of accuracy by computing the integral of f(x) = 4/1 – x² for x € [0, 1].

A: Given fx=41-x2 and x∈0,1 I=4∫x=011-x2dx

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A: Given,          ∫-6-4xf14x2-2dx

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Q: 5x х? — х — 6

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Q: How do you evaluate improper integrals from 0 to infinity?

A: Here you asked to explain how to evaluate improper integral from 0 to infinity.

Q: x+3 x+1

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Q: 9. /4x – x² dx

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Q: Write the integral as a sum of integrals without absolute values and evaluate.

A: The absolute value of any integral contains both the positive and the negative values.Since,the…

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Q: 5 .Use the definition of the integral to evaluate | (2x - 3)dx

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Q: Find the indefinite integral.

A: The given indefinite integral is ∫6z9z2-25dz.

Q: Can you show how the -x^2 was found in this integral? I dont understand how this was found. I am…

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Q: S 10x(1 - x)5 dx

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Q: .3 2х — 3 -dx 4 x –x

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Q: What is the  integral of ex^2?

A: Given

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x dx/√x - 2

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Q: What is the integral of 1/x from x=3 to x=6?

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Q: Evaluate the indefinite integral. Snip    ∫ x (2x + 5) 8 dx

A: Integration: ∫x(2x+5)8dx Let, 2x+5=z Differentiating both sides we get2dx=dzdx=dz2

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Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x√(2x - 3) dx

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Q: Use Simpson’s Rule with n=4 to approximate the integral 8∫0√xdx.

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Q: What is the integral of 1/(x*sqrt(ln(x))) dx from 1 to e^2?

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Q: Evaluate the integral.

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Q: th n = 4 to approximate the integral

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Q: If finding the integral of 1/x does the x need to be in absolute value bars in the answer?

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Q: dr 4.

A: