How to Integrate 2^x (constant to the power x) || 2^x Integration

Topic: What is the Integration of 2^x? Integral of 2^x.

#primestudy #calculus #integration

[jan-willemreens]

... At the end --> .... = 2^(x)/ln2 + C, to use the same notation as the integrand function 2^x at the beginning of your exercise; much neater! Thank you, Jan-W

[primestudy]

As 2=e^ln2, the final answer would be = 2^(x)/ln2 + C. This is mentioned in the pinned comment. Thanks!

[mitsosyt]

What if the "x" is a funtion? Like cos(x) or erf(x). Is the answer still the same but with the function in the place of "x" or does it change?

[pandurangaraonimmagadda]

Answer: 2. To the power of x.log 2 to the base e

[archangecamilien]

Just write it as e^{ln(2) x} and it's a trivial problem, lol...I mean, should be 1/ln(2) e^(ln(2) x) + C, if I'm not mistaken...