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integration
find the area between y²= x and x²=y  find the area bounded between the curves y=x^2+2 and y=3x
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find the area between y² = x and x² =y

area between y²= x and x²=y
first solve y²= x and x²=y to get the points of intersection
and thus get the limits of integration
draw rough figure
refer to either axes
with ref. to the x-axis find out the upper curve (here y²= x  or y = sqrt(x)  black curve)
and lower curve (here x² =y or y = x²  pink curve)

use the formula integral of y(upper) - y(lower ) with suitable limits
area between y² = x and x² =y

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p2

find the area bounded between the curves y=x²+2 and y=3x

area bounded between the curves y=x^2+2 and y=3x

first find the point of intersection of the two curves

solving  y = x2 + 2  and y =3x

3x= x2 + 2

x2-3x + 2=0

x =1,2

area bounded between the curves y=x^2+2 and y=3x




other questions and problems:

*integral calculus integration formula





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trigonometric identity and ratio of  certain standard angles

*list of differentiation formula     *integral calculus integration formula
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