Find the area of the region bounded by the following curves:(adsbygoogle = window.adsbygoogle || []).push({});

y=x^{2}-5x and y=3-x^{2}

Answer:

So, using simultaneous equations I found the points of intersection (x = -0.5 and x = 3). The book agrees with me on that.

I then performed the following:

3-x^{2}-(x^{2}-5x)

= -2x^{2}+5x+3

I then integrated that:

((-2/3)*x^{3})+((5/2)*x^{2})+3x

I then subtracted the result when I substitute -0.5 from the result I get when I substitute 3. The book claims the answer is 2.655 but, no matter how hard I try I keep getting (271/24)

Can anyone help me here please?

Thanks!

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# Homework Help: Area in between two curves

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