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Single Variable Calculus

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Difficult

Integral of Sine to the Sixth

SVCALC-9CBOEX

Evaluate the definite integral:

$$\int_0^{\pi/4} \sin^6x dx$$

A

$\dfrac{5\pi}{64} -\dfrac{11}{48}$

B

$\dfrac{3\pi}{48} + \dfrac{13}{48}$

C

$\dfrac{5}{16} + \dfrac{11\pi}{48}$

D

$\dfrac{3\pi}{8} + \dfrac{11}{48}$