Class 12

Math

Calculus

Application of Integrals

Find the area of the region bounded by the curve $y=x_{2}$and the line $y=4$.

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Using integration find the area of region bounded by the triangle whose vertices are (1, 0), (2, 2) and (3, 1).

Determine the area enclosed by the curve $y=x_{3}$, and the lines $y=0,x=2$ and $x=4$.

Using integration, find the area of the region bounded by the line $y−1=x$, the x-axis, and $x=−2$ and $x=3$.

Using integration, find the area of the region bounded by the lines $y=1+∣x+1∣,x=−2,x=3$ and $y=0$.

Find the area of the region in the first quadrant enclosed by the x-axis, the line $y=x$, and the circle $x_{2}+y_{2}=32$.

Find the area enclosed by the ellipse $a_{2}x_{2} +b_{2}y_{2} =1$.

Find the area of the parabola $y_{2}=4ax$bounded by its latus rectum.

Find the area of the region bounded by the curves $y=x_{2}+2,y=x,x=0$ and $x=3$.