MCQ
$\int \frac{e^x(1+x)}{\sin ^2\left(x e^x\right)} d x=$ _________.
- A$\cot \left(e^x\right)+C$
- B$\tan \left(x e^x\right)+C$
- C$-\cot \left(x e^x\right)+C$
- D$\tan \left(e^x\right)+C$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
$g(x)=\left\{\begin{array}{cl}\frac{\sin (x+1)}{(x+1)}, & x \neq-1 \\1, & x=-1\end{array} \text { and } h(x)=2[x]-f(x),\right.$
where $[x]$ is the greatest integer $\leq x$. Then the value of $\lim _{x \rightarrow 1} g(h(x-1))$ is
$x+(\cos \gamma) y+(\cos \beta) z=0$
$(\cos \gamma) x+y+(\cos \alpha) z=0$
$(\cos \beta) x+(\cos \alpha) y+z=0$
has :