Question
$\int(\text{e}^{\text{x}}+1)^2\text{e}^{\text{x}}\text{ dx}$
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$\begin{bmatrix}2 & 5 \\ -3 & 1 \end{bmatrix}$
$\tan^{-1}\Bigg|\frac{\sqrt{\text{1 + x}}-{\sqrt{\text{1 - x}}}}{\sqrt{\text{1 + x}}+{\sqrt{\text{1 - x}}}}\Bigg|=\frac{\pi}{4}-\frac{1}{2}\cos^{-1}\text{x},-\frac{1}{\sqrt{2}}\leq\text{x}\leq1$.
$\text{f}\text{(x)}=\begin{cases}\text{x}, & \text{x} > 0\\1,&\text{x}=0\\\text{-x}, & \text{x} > 0\end{cases}$
$3\begin{bmatrix}\text{a}&\text{b}\\\text{c}&\text{d}\end{bmatrix}=\begin{bmatrix}\text{a}&6\\-1&2\text{d}\end{bmatrix}+\begin{bmatrix}4&\text{a}+\text{b}\\\text{c}+\text{d}&3\end{bmatrix}.$