class 12 maths integrals

${e^{2x + 3}}$

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📘 Integrals NCERT,ex.7.2,Q.16,Page 304 SA

${e^{2x + 3}}$

Official Solution

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: Let$I = \int {{e^{2x + 3}}dx}$
Put $2x + 3 = t$ $\Rightarrow$ $2\,dx = dt$

$\therefore$ $I = \cfrac{1}{2}\int {{e^t}dt} = \cfrac{1}{2}{e^t} + C = \cfrac{1}{2}{e^{2x + 3}} + C$

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