Question Bank [2022] — Maths STD 12 Science — Question
Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]1 Mark
Question
$\int\left(2+\cot x-\operatorname{cosec}^2 x\right) e ^x d x$
✓
Answer
$\int\left(2+\cot x-\operatorname{cosec}^2 x\right) e ^x d x$
$=\int e ^x\left[(2+\cot x)-\operatorname{cosec}^2 x\right] d x$
$= e ^x(2+\cot x)+ c \quad \ldots \ldots . .\left[\because e ^x\left[ f (x)+ f ^{\prime}(x)\right] d x= e ^x \cdot f (x)+ c \right]$
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