Compute . Which of the following is the exact value of the…

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

Problem

Compute

\displaystyle \int_{0}^{1} x^{3}\,(x^{4}+1)^{5/2}\,dx

. Which of the following is the exact value of the integral? (a)

\dfrac{8\sqrt{2}+1}{14}

(b)

\dfrac{8\sqrt{2}-1}{14}

(c)

\dfrac{8\sqrt{2}-1}{7}

(d)

\dfrac{8\sqrt{2}-1}{28}