Evaluate the definite integral .

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

Problem

Evaluate the definite integral

\displaystyle\int_{0}^{2} 6x e^{3x^{2}}\,dx

. (a)

\dfrac{e^{12}-1}{6}

(b)

e^{4}-1

(c)

e^{12}-1

(d)

e^{12}-e^{3}