Sunday
March 29, 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?

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Parabola Ques - Find the point P on the parabola y^2 = 4ax such that area ...
calculous - Find the area of the region bounded by the parabola y = 4x^2, the ...
calculous - Find the area of the region bounded by the parabola y = 4x^2, the ...
calculus - Find the area of the region bounded by the parabola y=x^2 , the ...
Calc. - Find the area of the region bounded by the parabola y=x^2, the tangent ...
Applications of definite integrals - find the area of the region bounded by the ...
math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...
math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...
calculus help lttle question - find the area of the regin bounded by the graphs ...
Calculus - Sketch a graph of the parabola y=x^2+3. On the same graph, plot the ...

Members