# calculus

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the area of the first quadrant bounded by the y-axis, the line y=4-x, and the graph of y=x-cosx is approximately

• calculus -

The hard part is to find the intersection of
y = 4-x and y=x - cosx
I ran it through Wolfram and got
x = 1.85825
http://www.wolframalpha.com/input/?i=x-cos%28x%29+%3D+4-x

area = ∫ (4-x - x + cosx) dx from 0 to 1.85825
= ∫(4 - 2x + cosx) dx from ....
= [ 4x = x^2 + sinx] from ....
= you do the arithmetic

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