Math, asked by durwadt, 1 year ago

Integral of sinx sin2x

Answers

Answered by rohitkumargupta
4

\bf HELLO \:  \:  DEAR

 \bf \int sinxsin2x .dx

\boxed {\bf Now,}


\bf \int sinx(2sinxcosx).dx


\to \bf 2\int sin^{2}x. cosx. dx


\bf let  \:  \: u = sinx<br /><br /> \\  \\ \bf du/dx = cosx \\  \\  \bf \: du = cosx.dx<br />


\to \bf 2\int u^{2} .du


\to \bf 2u^{3}/3 + C

\underline { \bf hence}

\bf \int sinxsin2x. dx = 2sin^{3}x/3 + C



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