Find, correct to two decimal places, the number in such that _ 0 ^ x x ,dx = c c ,(…

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

Problem

Find, correct to two decimal places, the number

c

(0,\pi)

such that

\int_{0}^{\pi} x\cos x\,dx = c\cos c\,(\pi-0).