Waste less time on Facebook — follow Brilliant.
×

Problem

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

Note by Shubham Dhull
1 month, 1 week ago

No vote yet
1 vote

Comments

Sort by:

Top Newest

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 month, 1 week ago

Log in to reply

@Pi Han Goh thank you very much big brother, i am able to do it now. the answer coming is " right" Shubham Dhull · 1 month, 1 week ago

Log in to reply

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

\(I=\displaystyle\int \dfrac{t^2-2}{2t^2-1}\cdot dt\) Sambhrant Sachan · 1 month, 1 week ago

Log in to reply

@Sambhrant Sachan yeah i totally agree with you and pi han goh . thanks for seeing to it, plz keep supporting. Shubham Dhull · 1 month, 1 week ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...