Class 12

Math

Calculus

Area

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Area bounded by $f(x)=x_{2}+1x_{2}−1 $ and the line y = 1 is

The area of region(s) enclosed by the curve $y=x_{2}$ and $y=∣x∣ $ is

Find the area of the region enclosed by $y=−5x−x_{2}andy=x$ on interval $[−1,5]$

The area bounded by the two branches of curve $(y−x)_{2}=x_{3}$ and the straight line x=1 is

Let function f(x) is defined in $[−2,2]$ as $f(x)=⎩⎨⎧ {x},∣sgnx∣,{−x}, −2≤x≤−1−1≤x≤11<x≤2 $ where {x} and sgn x denotes fractional part and signum functions, respectively. Then the area bounded by the graph of f(x) and x-axis is

The area bounded by $y=x_{2}+2andy=2∣x∣−cosπx$ is equal to

Let C be a curve passing through M(2,2) such that the slope of the tangent at any point to the curve is reciprocal of the ordinate of the point. If the area bounded by curve C and line x=2 is A, then the value of $23A $ is__.

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