If \( u=\int e^{a x} \cos b x d x, v=\int e^{a x} \sin b x d x \), prove that \( \tan ^{-1} \fra... VIDEO
If \( u=\int e^{a x} \cos b x d x, v=\int e^{a x} \sin b x d x \), prove that \( \tan ^{-1} \frac{v}{u}+\tan ^{-1} \frac{b}{a}=b x \), and that \( \left(a^{2}+b^{2}\right)\left(u^{2}+v^{2}\right)=e^{2 a x} \).https://bit.ly/YTAI_PWAP https://www.pw.live
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