Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a function defined on I and that F is an antiderivative off on I. Then A ff(g(x)) (g'(x)) dx = F(g(x)) + C B ff(g(x))(g(x)) dx = F(g(x)) + C ⒸSF(g(x))(g'(x)) dx = f(g(x)) + C Ⓒff(g(x))(g'(x)) dx = F(g(x)) + C

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A: Topic:- application of integration

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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A: We will first find g(x).

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A: Here is the solution of the given problem.  By using derives under Integral.

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A: Let's find area of given curve.

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A: Here is the solution of the given problem. We solve this by using shell method

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Q: The improper integral (A) e B) 0 с 00 D 1 8 0 edx

A: ∫0∞e-xdxSubstitute u=-x→dudx=-1→du=-dx=∫-e-x

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x) =…

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: S Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

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