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Calculus Level pending

If y = 2 cot ⁡ − 1 ( x 2 ) + x y=2\cot^{-1} \left( \frac{x}{2} \right)+x , Then find

∫ x 2 d x ( x 2 − 4 ) sin ⁡ x − ( 4 x ) cos ⁡ x \displaystyle \int \frac{x^2 dx}{(x^2-4) \sin x-(4x) \cos x}

xy+cot(x^2 - y) +c lnx +cosxcotx ln(cosecy-coty)+ c ln(sinx-cosy)+c

Aj Tech by AJ Tech , 21, India

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1 solution

Aj Tech
Apr 2, 2016

Just do d y d x \frac{dy}{dx} ....... Now try to calculate tan(x-y) ....... You'll get it with ease

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