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#### Petrus

##### Well-known member

- Feb 21, 2013

- 739

Consider the region bounded by the lines \(\displaystyle x=0\),\(\displaystyle y=1\) and curve

\(\displaystyle y=\sin(x)\), \(\displaystyle 0\leq x \leq \frac{\pi}{2}\) decide the volume when it rotate in y-axe ( Tips: \(\displaystyle t=\sin^{-1}(y)\) can be usefull)

I got pretty confused what my integral limit shall be. I know the formula will be

\(\displaystyle \pi\int_a^b xf(x)^2 \).

Regards,

\(\displaystyle |\pi\rangle\)