Question

answer the following problems by integrating exponential functions in bases other than e:

Answer 1

answer the following problems by integrating exponential functions in bases other than e:
1)
∫4cosxsin(x)dx
2)
∫10xdx

Answer 2

What have you thought of doing so far?
#2 is the simpler problem. Take that 10 outside the integral and then apply the power rule for integration to x^1 dx.
#1 could be done either with a trig substitution or by an ordinary substitution. Take that multiplicand 4 outside the integral, choose u and choose du, and then integrate.

Answer 3

The second integral becomes \[10\int\limits_{}^{}x dx, or 10\int\limits_{}^{}x ^{1} dx,\] which ever is the easier for you to understand. Apply the power rule for integration. It's essential that you know and understand how to use this rule, so why not begin making up a study and review list and include that rule?

Answer 4

Zub??

Answer 5

srry, had to go afk for a bit