sin-2-x-dx-Integrate-this-question-

Question Number 183073 by Mastermind last updated on 19/Dec/22

\int \sin^{2} x dx

Integrate this question

Answered by Ml last updated on 20/Dec/22

\int \sin^{2} xdx = ?

note ∴ \sin^{2} x = \frac{1 - \cos 2 x}{2}

\int \frac{1 - \cos 2 x}{2} dx = \frac{1}{2} \int (1 - \cos 2 x) dx

\Rightarrow \frac{1}{2} x - \frac{1}{4} \sin 2 x + C, C \in R

Eng - ★

Commented by Mastermind last updated on 19/Dec/22

{That}^{'} s good, you got it correct!

Answered by BaliramKumar last updated on 20/Dec/22

\int {s i n}^{2} x d x

\int \sqrt{{s i n}^{2} x} \cdot s i n x d x

\int \sqrt{1 - {c o s}^{2} x} \cdot s i n x d x

l e t c o s x = t - s i n x d x = d t

- \int \sqrt{1 - t^{2}} d t

\dots \dots \dots .