Question

what is the integral of 6^x

Answer 1

6^x/log6+c

Answer 2

.. are are sure it isnt 6^(x+1) / x + 1 ?

Answer 3

and well + c lol

Answer 4

You only add 1 if it's 6x or something. But this is 6^x

Answer 5

ok.. care to explain how you got your answer?

Answer 6

You need to use the formula!! integral of a^xdx=a^x/loga +c

Answer 7

yea i figured there was a formula lol thx alot!

Answer 8

if you want a slightly more intuitive way, remember that the derivative of \(a^x\) is \(a^x\ln a\), so if you integrate you can use u-substitution
\[u=a^x\implies du=a^x\ln adx\implies a^xdx={du\over\ln a}\]

Answer 9

6^(x +1)divide by x + 1 plus C