$\int e^{-x}(x^3-2x^2+3x-4) dx=$

$\int e^{x} \left[ \frac{\sin x + \cos x}{\cos^2 x} \right] dx$ ની કિંમત શોધો.

વિધાન $(A)$: $\int_2^e \left(\frac{1}{\log_e x} - \frac{1}{(\log_e x)^2}\right) dx = e - 2 \log_2 e$
કારણ $(R)$: $\int_a^b e^x (f(x) + f'(x)) dx = e^b f(b) - e^a f(a)$

$\frac{dy}{dx} = e^x(\sin x + \cos x)$ નો ઉકેલ શોધો.

$\int e^{x} \sec x(1+\tan x) dx =$

$\int \left( \frac{x^2+1}{(x+1)^2} \right) e^x \, dx = \text{ . . . . . . }$.