Evaluate the following integrals:

Assume 3secx + 5=t
d(3secx + 5)=dt
3secxtanx=dt
Secxtanx=![]()
Substitute t and dt
We get
⇒ ![]()
⇒ ![]()
But t = 3secx + 5
∴ the equation becomes
⇒
.
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