?

Single Variable Calculus

Free Version

Upgrade subject to access all content

Difficult

Integral with Trigonometric Substitution

SVCALC-FDS4DK

Evaluate the definite integral:

$$\int_0^1 x^3\sqrt{1-x^2}dx$$

A

$\dfrac{2}{15}$

B

$\dfrac{1}{15}$

C

$\dfrac{2}{5}$

D

$-\dfrac{2}{15}$