مساحت بین دو منحنی با انتگرال ها

 ما در این قسمت سعی میکنیم پیدا کنیم مساحت بین دو منحنی  و دو خط زیر را :   

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Likewise, we can sum vertically by re-expressing both functions so that they are functions of y and we find:

Find the area between the curves y = x² + 5x and y = 3 − x² between x = -2 and x = 0

Answer

Exercises

1. Find the area bounded by y = x³, x = 0 and y = 3.

Answer

2. Find the area bounded by the curves

y = x² + 5x and y = 3 − x².

(This is an extension of the Example above.)

Answer

3. Find the area bounded by the curves

y = x², y = 2 − x and y = 1.

Answer