Evaluate the integral by making the substitution u = x3 - 1. NOTE: Your answer s

Question

Evaluate the integral by making the substitution u = x3 - 1. NOTE: Your answer should be in terms of x and not u Evaluate the indefinite integral (2 - x)s dx by making a u-substitution. (Give a function of x here.) When you make the substitution, the integral becomes k g(u)du where (Give a function of u here.) k = -1 (Give the constant that would be needed outside the integral.) Now do the antidifferentiation. (Don't forget the +C. "C" must be capital not lowercase. ) Give the final result by substituting the function of x back in.

Explanation / Answer

let x^3-1 = z

so 3x^2 dx = dz

= integration (1/3) z^50 dz

= (1/3) z^51 / 51 + c

= (1 / 153 ) (x^3-1)^51 + c

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