How to integrate this function: sec(a*theta) * tan(a*theta) dtheta when your u = a*theta ?

The variable a is a constant

1 Answer
Ratnaker Mehta
Dec 1, 2017

# 1/a*secatheta+C.#

Explanation:

Let, #I=intsecathetatanathetad theta.#

Using the given substitution,

#u=atheta," so that, "du=ad theta, i.e., d theta=1/adu,# we get,

#I=intsecutanu*1/adu,#

#=1/asecu,#

# rArr I=1/a*secatheta+C.#

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