Class 12

Math

Calculus

Area

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Find the area enclosed by the graph of $y=g_{e}(x+1),$y-axis, and the line y=1

Sketch the region bounded by the curves $y=5−x_{2} andy=∣x−1∣$ and find its area.

The area of the figure bounded by the parabola $(y−2)_{2}=x−1,$ the tangent to it at the point with the ordinate x=3, and the x-axis is

Consider the function defined implicity by the equation $y_{2}−2ye_{sin_{−1}x}+x_{2}−1+[x]+e_{2sin_{−1}x}=0(where [x] denotes the greatest integer function).$ The area of the region of curve and line $x=0andx=21 $ is

Find the area of the region bounded by the curves $y=x_{2},y=∣∣ 2−x_{2}∣∣ ,andy=2,$ which lies to the right of the line x=1.

If the area bounded by $f(x)=tanx ,y=f(c),x=0andx=a,0<c<a<2π $ is minimum then find the value of c.

The area bounded by the curve $y=xe_{−x},y=0andx=c,$ where c is the x-coordinate to the curve's inflection point, is