Use the integration symbol to denote the area under $f(x)=\sin(x)$ between $0$ and $\pi/2$.

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Lesson Parent: 
Integration I: An Overview of Integral Calculus
Problem: 

Use the integration symbol to denote the area under $f(x)=\sin(x)$ between $0$ and $\pi/2$.

Answer: 

$\int_0^{\frac{\pi}{2}}\sin(x)\,dx$

SAMPLE SOLUTION

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Solution: 

There is no math involved here. This is just to emphasize the notation. Our notation is that

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So the area between $0$ and $\pi/2$ under the curve <Sign in to see all the formulas> would be denoted by

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