Answer
$\frac{\pi}{4}$
Work Step by Step
Evaluate the definite integral.
Rewrite the integration by letting $tan^2( θ) +1= sec^2( θ)$
$\int_0^{\frac{\pi}{4}} d θ$, The trigonometric functions simplify to 1.
$[ θ]_0^{\frac{\pi}{4}}$
$\frac{\pi}{4}$
