: Let I = dx Put 2x + 3 = t 2 ,dx = dt I = 2 dt = 2 e t + C = 2 e 2x + 3 + C

Integrals — Class 12 Maths Solution

ncert exercise SA NCERT,ex.7.2,Q.16,Page 304

Question

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

Step-by-step Solution

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

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

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Integrals. Curated by Sachin Sharma. Free for all students.