the series is 15k1 3xk I really need help with finding its i

the series is 1/(5^(k+1)) (3x)^k, I really need help with finding its integral, the 3 part near the end of the function is so confusing for me, any help would be much appreciated, thanks in advance!

Solution

If integral is to be found relative to x that is f(x)dx them k can be treated as constant( if not stated other wise)
so the function becomes
f(x)=1/[5(k+1)*3k *xk]

now f(x)dx=[5-(k+1)*3-k*x(-k+1) ]/-k

the series is 1/(5^(k+1)) (3x)^k, I really need help with finding its integral, the 3 part near the end of the function is so confusing for me, any help would b

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