Consider the integral

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

\displaystyle\int x^{-4} e^{x^{-3}}\,dx

. After the substitution

u = x^{-3}

, which of the following integrals is obtained? (a)

\displaystyle\int 3e^{u}\,du

(b)

\displaystyle\int e^{u}\,du

(c)

\displaystyle\int -\tfrac{1}{3}e^{u}\,du

(d)

\displaystyle\int -e^{u}\,du