Class 12

Math

Calculus

Application of Integrals

Find the area bounded by the curve $y=sinx$ between $x=0$ and $x=2π$.

**Solution: **Solution: area=2 area of$1_{st}$ part

=$2∫_{0}f(x)dx$

=$2∫_{0}sinxdx$

=$2(−cosx)_{0}$

=$2(−cosπ+cos0)$

=$2(1+1)$

=$4unit_{2}$