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

(a) $\frac{e^x}{x+4}+C$

(b) $\frac{e^x}{x+3}+C$

(c) $\frac{1}{{\left(x+4\right)}^2}+C$

(d) $\frac{e^x}{{\left(x+4\right)}^2}+C$

$\int \frac{e^x(x-1)(x-lnx)}{x^2}dx$ is equal to

$\int e^x\left(\frac{1-cotx}{sinx}\right)dx$

Solution of differential equation $\frac{dy}{dx}+\frac{\tan y}{x}=x{e}^x\sec y$ is

equals

A. − cot (ex^x) + C

B. tan (xe^x) + C

C. tan (e^x) + C

D. cot (e^x) + C