(14) Let ∫f(g(x))g'(x)=∫ ((x^2)(√((x^3)+1)))dx.?
Identify u=g(x) and du=g'(x)dx.
DO NOT EVALUATE THE INTEGRAL
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Identify u=g(x) and du=g'(x)dx.
DO NOT EVALUATE THE INTEGRAL
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u = g(x) = x^3 + 1
du = 3x^2 + 1 dx
For the record, f(x) = √x.
Let u = x^3 + 1
du = 3x^2 dx
(1 / 3)du = x^2 dx