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NCERT Class XII Mathematics Chapter - - Solutions

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Exercise - 7.2
Integrate the functions in Exercises 23 to 59.
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Question : 38 of 271
Marks: +1, -0
e2x+3e^{2x + 3}
Solution:  
Let I=∫e2x+3dxI=\int e^{2x+3}dx
Put 2x+3=t2x + 3 = t ⇒2dx=dt\Rightarrow 2dx = dt
∴I=12∫etdt\therefore I=\frac{1}{2}\int e^t dt =12et+C=\frac{1}{2}e^t + C =12e2x+3+C=\frac{1}{2}e^{2x+3} + C
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