AP CALCULUS · Integrals · Advanced

Integrals: Evaluate math at bounds math to math: math with math?

Antiderivatives, definite integrals, area.

Try the problem

Evaluate ∫x2ex dx\int x^2 e^x\,dx at bounds 00 to 11: F(1)−F(0)F(1)-F(0) with F=ex(x2−2x+2)F=e^x(x^2-2x+2)?

Hint and answer

Concept to use

u-substitution.

Hint

Parts twice.

Answer

e-2

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