Determine the exact value of in for which _ 0 ^ 1 e^ 2x ,dx = e^ 2c ,(1-0).

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Determine the exact value of

c

(0,1)

for which

\int_{0}^{1} e^{2x}\,dx = e^{2c}\,(1-0).