Saturday
May 30, 2015

Homework Help: Math integrals

Posted by Melanie on Friday, August 15, 2008 at 6:23am.

What is the area of the region bounded by y=x^2, the tangent to this parabola at (1, 1) and the x-axis?
Since it says that the parabola passes through 1,1 can I assume that the line is y = x or is that completely wrong?

Doing that I got ∫ x - x^2 dx (where the interval from a to b goes from 0 to 1)
so the solved integral would be
x^2/2 - x^3/3] 0 to 1
= [(1)^2/2 - (1)3/3] - 0
= 1/2 - 1/3
= 1/6

What should I have done if it's wrong?

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