APFIVE Integral for Area Between Two Curves
Which of the following integrals represents the area of the region enclosed by the graphs of $$f(x)=\cos(x)$$ and $$g(x)=\sin(x)$$ on the interval $$\left[0,\frac{\pi}{4}\right]$$?
A
$$\int_{0}^{\frac{\pi}{4}} \Bigl(\sin(x)-\cos(x)\Bigr)\,dx$$
B
$$\int_{0}^{\frac{\pi}{4}} \Bigl(\cos(x)-\sin(x)\Bigr)\,dx$$
C
$$\frac{1}{\frac{\pi}{4}}\int_{0}^{\frac{\pi}{4}} \Bigl(\cos(x)-\sin(x)\Bigr)\,dx$$
D
$$\int_{0}^{\frac{\pi}{4}} \Bigl(\cos(x)+\sin(x)\Bigr)\,dx$$
Question Leaderboard
Not enough data yet to show leaderboard.