Please make sure to answer for all the steps; thank you! FInd the Indeflnte Integral and check the result by differentlation.6xdxStep 12x-(--*).Is the dertvative of 8- x-x]. Let g(x) = (8 -Observe thatMultiply and divide the Integrand by -and rewrite the Integral.6xdx =8-xStep 2Now, g'(x) =Define f(g(x)) = -38 – x²]such that Rx) = -3Rewrite the glven Integral In terms of g(x).6x(-2x) dx%3D8 x2- HoRocx))g (x) dx = Fgtx) + Cwhere F(g(x)) is the antiderivative of f(g(x)).

The given integral, ∫6x8-x23dx

FInd the Indefinte Integral and check the result by differentlation. 6x dx Step 1 s the derivative of (a-x Let g(x) = (8-x). Observe that-2x Is the dertvatve of Multiply and divide the Integrand by - and rewrite the Integral. 3. 6x (-)-2) de dx = -3 Step 2 Now, g'(x) = Define f(g(x)) = -38 - x)such that f(x) = - Rewrite the glven Integral In terms of g(x). 6x dx = (-2x) dx 8x2 !! f(g(x))g'(x) dx = F(g(x)) + C where F(g(x)) is the antiderivative of f(g(x)).

FInd the Indefinte Integral and check the result by differentlation. 6x dx Step 1 s the derivative of (a-x Let g(x) = (8-x). Observe that-2x Is the dertvatve of Multiply and divide the Integrand by - and rewrite the Integral. 3. 6x (-)-2) de dx = -3 Step 2 Now, g'(x) = Define f(g(x)) = -38 - x)such that f(x) = - Rewrite the glven Integral In terms of g(x). 6x dx = (-2x) dx 8x2 !! f(g(x))g'(x) dx = F(g(x)) + C where F(g(x)) is the antiderivative of f(g(x)).

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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