1.

Integrate the followinginte^(4x)/(e^(8x)+4)dx

Answer»

SOLUTION :`inte^(4x)/(e^(8x)+4)dx`
`[put e^(4x)=2tan THETA` then `e^(4x)dx=2sec^2thets d theta implies e^(4x)dx=(1/2)sec^2theta d theta `
`int((1/2)sec^2theta d theta)/(4+4tan^2 theta)
(1/8)tan^(-1)(e^(4x)/2)+C`


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