class 12

Math

Calculus

Application of Integrals

The area enclosed by the curves$y=sinx+cosxandy=∣cosx−sinx∣$ over the interval $[0,2π ]$

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Find the area enclosed between the parabola $y_{2}=4ax$and the line $y=mx$.

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

Find the area of the region bounded by the curve $y_{2}=x$and the lines $x=1,x=4$and the x-axis.

Find the area of the region bounded by the curve $y=x_{2}$, the x-axis, and lines $x=1$ and $x=3$.

The area of the region bounded by the y-axis, $y=cosx$ and $y=sinx,0≤x≤2π $ is

Find the area of the region bounded by the curve $(y−1)_{2}=4(x+1)$ and the line $y=x−1$.

Find the area of the region ${(x,y):0≤y≤x_{2}+1,0≤y≤x+1,0≤x≤2}$

Find the area bounded by curves ${(x,y):y≥x_{2}andy=∣x∣}$