Question
Evaluate the definite Integral
Integral [0 to pi/4] cos(2x)sec^2(pi/4 sin(2x))dx
Integral [0 to pi/4] cos(2x)sec^2(pi/4 sin(2x))dx
Answers
Steve
Let u = tan(π/4 sin(2x))
du = sec^2(π/4 sin(2x))*(π/4)(2cos(2x)) du
So, what you have is just ∫du with some constant factored out.
du = sec^2(π/4 sin(2x))*(π/4)(2cos(2x)) du
So, what you have is just ∫du with some constant factored out.