A Level

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Evaluate

\displaystyle\int_{0}^{\sqrt{\ln 2}} x e^{x^{2}}\cos\bigl(e^{x^{2}}\bigr)\,dx

. (a)

\sin 2-\sin 1

(b)

\dfrac{\cos 2-\cos 1}{2}

(c)

\dfrac{\sin 2-\sin 1}{2}

(d)

\dfrac{\sin 2+\sin 1}{2}