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Problem

\[ \int \dfrac{\sin x + \sin^3 x}{\cos (2x) } \, dx = \,? \]

Note by Brilliant Member
1 year, 3 months ago

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Hint: Start with \( y = \cos x\), then do long division, and you get a form of \( \int \frac 1{z^2-a^2} \, dz \).

Pi Han Goh - 1 year, 3 months ago

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thank you very much big brother, i am able to do it now. the answer coming is " right"

Brilliant Member - 1 year, 3 months ago

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Pi Han Goh is correct , Let \( t=cosx \implies dx=\dfrac{dt}{-\sin{x}}\)

\(I=\displaystyle\int \dfrac{t^2-2}{2t^2-1}\cdot dt\)

Sabhrant Sachan - 1 year, 3 months ago

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yeah i totally agree with you and pi han goh . thanks for seeing to it, plz keep supporting.

Brilliant Member - 1 year, 3 months ago

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