Mathematics

Evaluate:
$$\int { \sin ^{ 2 }{ x }  } \cos ^{ 2 }{ x } dx$$


SOLUTION
$$u=sin2x,du=2cos2xdx$$
$$\frac { 1 }{ 2 } \int { udu } =\frac { 1 }{ 4 } { u }^{ 2 }+C$$
$$\frac { 1 }{ 4 } { sin }^{ 2 }2x+C$$
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Subjective Medium Published on 17th 09, 2020
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