1.

Given that int e^x[f(x)+f^'(x)] dx = e^x f(x)+c. By writing int e^x(sinx+cosx)dx = int e^x sinxdx+ int e^x cosx dx and applying integration by parts in the first integral, evaluate int e^x(sinx+cosx)dx

Answer»

SOLUTION :`INT e^X(sinx+cosx) dx = e^x sinx+c`
`int e^x (F(x)+f^.(x)) dx = e^x f(x)+c`


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