# Area between graphs of two curves?

Calculate the area between the graphs of y = x + 7 and y = x^2 + 1

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- 10 years agoFavourite answer
first set the two equations equal to each other to find the limits of integration

next you subtract the top function minus the bottom function. That's all

x + 7 = x^2 +1

0 = x^2 - x - 7

factor

0 = (x- 3) (x +2)

x = 3 and x = -2 these are your limits of integration

∫ top - bottom = area

∫(x+7) - (x^2 + 1) dx from -2 to 3

i hope you can solve it from here

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