INTEGRATE 9^x...?

2016-07-28 8:32 pm
Please explain!

回答 (2)

2016-07-28 8:41 pm
∫ 9^x dx = 1/ln(9) 9^x + C

Note that 9^x = e^(x ln(9)).
2016-07-28 8:40 pm
∫ 9^x dx

Let y = 9^x
log y = x log 9
(1/y) dy/dx = log 9
dy/dx = y log 9
∫ dy/y = log 9 ∫ dx
log y = x log 9 + C


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