Mathematics, 16.07.2019 00:30 Kameon
Use the method of quadrature to estimate the area under the curve y=-x^2+5 and above the x-axis from x=0 to x=2.
Answers: 1
. If you notice, I pulled the negative out in front of the integral and changed the signs in the function. So it could really be rewritten as 
. Integrating we have ![-1[ \frac{x^3}{3} -5x]](/tpl/images/0094/4075/be837.png)
from 0 to 2. Subbing in those bounds, we have ![-1[( \frac{2^3}{3}-5(2))-( \frac{0^3}{3}-5(0))]](/tpl/images/0094/4075/8c120.png)
which simplifies to 
. Distributing the -1 in gives us 
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Use the method of quadrature to estimate the area under the curve y=-x^2+5 and above the x-axis from...
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