Question

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)

r(θ) = sec(θ) tan(θ) − 8e^θ

Answer 1

we have

...........1)

now,

let assume that,

we can say that,

put u = cos(theta),

put this value in equation 1),

let assume that C1+C2 = C,

now check by the differentiation,