# Evaluate the following problems using second fundamental theorem: $\int\limits_{0}^{\large\frac{\pi}{2}}\cos^{3}x dx$

$\begin{array}{1 1}\frac{2}{5} \\ \frac{5}{3} \\ \frac{2}{3} \\ \frac{7}{3} \end{array}$

Toolbox:
• If $F(x)=\int \limits_a^x f(t)dt$ then $\int \limits_a^b f(x) dx=F(b)-F(a)$
Given $\int \limits_0^{\large\frac{\pi}{2}} \cos^3x dx$
Step 1: