AP

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Calculate

\displaystyle \int_{0}^{\pi/4} \frac{\cos x}{1+\sin x}\,dx

. (a)

\ln\left(\dfrac{\sqrt2}{2}\right)

(b)

\ln\left(1+\sqrt2\right)

(c)

\ln\left(1+\dfrac{\sqrt2}{2}\right)

(d)

\ln\left(1-\dfrac{\sqrt2}{2}\right)