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Evaluate: int(2cos2x+sec^2x)/(sin2x+tanx...

Evaluate: `int(2cos2x+sec^2x)/(sin2x+tanx-6)dx`

Text Solution

Verified by Experts

`=d/dx(sinx+tanx-5)=2cos2x+sec^2x`
`=int(2cos2x+secc^2x)/(sin2x+tanx-5)dx=int(d(sin2x+tanx-5))/(sin2x+tanx-5)`
`=int(f(x))/(f(x))dx=int(d(f(x)))/(f(x))`
`=ln|f(x)|+c`
`=ln|sin2x+tanx-5|+c`.
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