integrate the following: inte^x[tanx+sec^2x] ?
2 Answers
Mar 11, 2018
Explanation:
We want to solve
I=inte^x(tan(x)+sec^2(x))dx
Split into two integrals
I=inte^xtan(x)dx+inte^xsec^2(x)dx
Use integration by parts (first integral)
intudv=uv-intvdu
Let
And
I=e^xtan(x)-inte^xsec^2(x)dx+inte^xsec^2(x)dx
A fortunate cancellation
I=e^xtan(x)+C
Mar 11, 2018
Explanation:
Here,
So,