e^xdx
e^x+C
The antiderivative of e^x with respect to x is simply e^x + C, where C is a constant of integration. Therefore, the integral of e^x dx can be found as:
∫ e^x dx = e^x + C
where C is a constant of integration that can take any value.
Alternatively, if you are asked to find the definite integral of e^x between two limits, say ‘a’ and ‘b’, then you can evaluate the integral as:
∫ from a to b of e^x dx = [e^x] from a to b
= e^b – e^a
Therefore, the definite integral of e^x between limits a and b is e^b – e^a.
Hope this helps!
More Answers:
[next_post_link]