Question

Verify by differentiation that:

\[\LARGE \int (cos^3x)dx=sinx-\frac{1}{3}sin^3x+C\]

Answer 1

Simply differentiate \[\frac{ 1 }{ 3 } \sin^{3}x\]

Answer 2

I never did understand how to differentiate with trig functions that have exponents. Could you walk me through it? .-.

Answer 3

use the chain rule. For d/dx f(u) take f'(u)u'

Answer 4

you will have to play with the trigonometric identities (I see a bit of sin^2 x+cos^2 x=1 in this one) to get what you want.

Answer 5

I leave it to inkyvod

Answer 6

Why bother?

Answer 7

The silhouette man is here.