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If inte^(sinx).(xcos^(3)x-sinx)/(cos^(2)...

If `inte^(sinx).(xcos^(3)x-sinx)/(cos^(2)x)dx=e^(sinx)f(x)+C`, such that f(0)`=-1` then `pi/3-f(pi/3)` is equal to:

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To solve the integral \[ \int e^{\sin x} \frac{x \cos^3 x - \sin x}{\cos^2 x} \, dx = e^{\sin x} f(x) + C \] with the condition that \( f(0) = -1 \), we will follow these steps: ...
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