Areas :)

1.The area of the region between x-y+2=0 and curve x=√y , y axis is

2.The area inside the parabola 5x2-y=0 but outside the parabola 2x2-y+9=0

What I did for both the sums was first get a quadratic eq. and solve it to get the values of x and then i use those as the limits and after a rough sketch of the graph i integrate and solve but i always get the wrong answer :(..
Please help me

2 Answers

62
Lokesh Verma ·

Find the points where both these are equal...

ie x-x^2+2=0

ie x=2, x=-1

but x is +ve so we ignore x=-1

so we have to integrate (x+2-x2) between 0 and 2

which gives x2/2+2x-x3/3 = 6-8/3 = 10/3

3
tormented ·

Oh thanks a lot! I found my mistake..what about the second question?

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