Class 12

Math

Calculus

Application of Integrals

Find the area of the region bounded by the parabola $y=x_{2}$ and $y=∣x∣$.

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

For which of the following values of $m$ is the area of the regions bounded by the curve $y=x−x_{2}$ and the line $y=mx$ equal $29 ?$ (a) $−4$ (b) $−2$ (c) 2 (d) 4

Find the area of the region $R$ which is enclosed by the curve $y≥1−x_{2} $ and max ${∣x∣,∣y∣}≤4.$

Using integration find the area of the triangular region whose sides have the equations $y=2x+1$, $y=3x+1$ and $x=4$.

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

Find the area of the region included between the parabolas $y_{2}=4axandx_{2}=4ay,wherea>0.$

Find the area bounded by the parabola $y=x_{2}+1$ and the straight line $x+y=3.$

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

Consider two curves $C_{1}:y_{2}=4[y ]xandC_{2}:x_{2}=4[x ]y,$ where [.] denotes the greatest integer function. Then the area of region enclosed by these two curves within the square formed by the lines $x=1,y=1,x=4,y=4$ is $38 squ˙nits$ (b) $310 squ˙nits$ $311 squ˙nits$ (d) $411 squ˙nits$