Answer
$\frac{\pi}{4}$
Work Step by Step
Evaluate the definite integral.
Rewrite the integral by letting $(1-sin^2(θ ))=cos^2(θ )$
$\int_0^{\frac{\pi}{4}} dθ $, The trigonometric functions simplify to 1
$[θ ]_0^{\frac{\pi}{4}}$, Integrate
$(\frac{\pi}{4} -0)$, Simplify
$\frac{\pi}{4}$
