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Integrals — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSIntegrals2 Marks
Question
Integrate the function: $e^{2 x+3}$
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Answer

Let 2x + 3 = t
$\Rightarrow$ 2dx = dt
$\Rightarrow \int e^{2 x+3} d x=\frac{1}{2} \int e^{t} d t$ 
$\Rightarrow \frac{1}{2} e^{t}+C$ 
$\Rightarrow \frac{1}{2} e^{2 x+3}+C$

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