Question

integration of e^(2x + 7) dx​

Answer 1

Step-by-step explanation:

e^(2x + 7) dx

let 2x+7=t

2dx=dt

integration of e^(2x + 7) dx =integral e^(t) dt/2

=e^t/2+c

=e^2x+7/2+c

Answer 2

∫ e^(2x + 7) .dx

= e^(2x + 7)) × 1/2 + c

= e^(2x + 7)/2 + c

Remember this:

∫ e^(ax + b) .dx = e^(ax + b) × 1/a + c

c is constant of integration.