Class 12

Math

Calculus

Area

Which of the following is the possible value/values of c for which the area of the figure bounded by the curves $y=sin2x$, the straight lines $x=π/6,x=c$ and the abscissa axis is equal to 1/2?

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If the area of the region ${(x,y):0≤y≤x_{2}+1,0≤y≤x+1,0≤x≤2}$ is A then the value of 3A-17 is___.

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

The area of the region ${(x,y):x_{2}+y_{2}≤5,∣∣x∣−∣y∣∣≥1$ is

The area enclosed by the curve $C:y=x9−x_{2} (x≥0)$ and the x-axis is___.

Let S is the region of points which satisfies $y_{2}<16x,x<4andx_{2}−7x+12xy(x_{2}−3x+2) >0$. Its area is

If the area bounded by the x-axis, the curve $y=f(x),(f(x)>0)and the linesx=1,x=bis equal tob_{2}+1 −2 for allb>1,$ then find f(x).

Find the area bounded by $y=x_{2}andy=x_{1/3}forx∈[−1,1].$

Find the area of the region enclosed by the curve $y=∣∣ x−x1 ∣∣ (x>0)$ and the line y=2