This question has several parts that must be completed sequentially. If you skip a part of the question, you will not re

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This Question Has Several Parts That Must Be Completed Sequentially If You Skip A Part Of The Question You Will Not Re 1 (53.75 KiB) Viewed 8 times

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any po Tutorial Exercise Find the indefinite integral and check the result by differentiation. Step 1 Observe that -2x 10x √ (5-x²) ³0 Step 2 Now, g'(x) Multiply and divide the integrand by-and rewrite the integral. Step 3 = -2x 10x 5-x²) ³ c dx Hence, F(x) = dx = Rewrite the given integral in terms of g(x). 10x 2x 5 dx The antiderivative of f(x) is -2x = is the derivative of (5-x²). Let g(x) = (5 - x²). $)- 1 / -2x Define f(g(x)) = -5(5-x²) - ³ s such that f(x) Rg(x))g'(x) dx = F(g(x)) + C where F(g(x)) is the antiderivative of f(g(x)). -5% -x²) ³ (-2x) dx Submit Skin (you cannot come back) 5- = [F(x)] + 1 / (5-x²) ³ (-2x) dx g(x))g'(x) dx C Enter an exact number. 5 = -5 x x -3