AP Calculus ABhardmcq1 pt

The integral ∫₀¹ x·eˣ dx equals:

A.e - 1

B.1 - e

C.e

D.1

Explanation

Core Concept

Using integration by parts: u = x, dv = eˣdx. Then du = dx, v = eˣ. ∫x·eˣdx = xeˣ - ∫eˣdx = xeˣ - eˣ + C. Evaluating [0,1]: (1·e - e) - (0 - 1) = 0 + 1 = 1.

Correct Answer

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