Class 12 Mathematics - Chapter Integrals NCERT Solutions | Integrals cos3x
Integrals cos3x
The anti derivative of cos 3x is a function of x whose derivative is cos 3x.
It is known that,
\begin{align} \frac {d}{dx} (sin 3x) = 3 cos3x \end{align}
⇒ \begin{align} cos 3x =\frac {1}{3} \frac {d}{dx}(sin 3x) \end{align}
∴ \begin{align} cos 3x = \frac {d}{dx}\left(\frac {1}{3}sin 3x\right) \end{align}
Therefore, the anti derivative of cos3x is
\begin{align} sin 2x \;is \frac {1}{3}sin 3x \end{align}
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