Question

`∫(sin2x)/(cosx) dx` is equal to ______.

Options

• −2 cosx + c

• 2 cosx + c

• `(− cosx)/2` + c

• `(cosx)/2 + c`

Answer 1

`∫(sin2x)/(cosx) dx` is equal to −2 cosx + c.

Explanation:

`∫(2sinxcosx)/(cosx)`      ...[∴ sin 2x = 2 sin x cos x]

`∫2sinx = 2∫ sinx`

−2 cos x + c      ...[∴ ∫sinx = −cosx]

∴ Option −2 cosx + c is correct.