Question

y = 2 x x 2 + 1 between x = 0 and x = 6 for n 1 = 6 and n 2=12. This means you will be doing two estimates for the area under the curve: one using 6 rectangles on the interval from x=0 to x=6 and a second computation using 12 rectangles on the interval from x=0 to x=12. Find the exact ar

Answer 1

Answer:

For n = 1, 150

for n = 2, 1164

Step-by-step explanation:

The answer for n = 1, is,

$\int_{0}^{6}(2 \times x^{2} + 1)\times dx$

=$[2 \times \frac {x^{3}}{3} + x]_{0}^{6}$

=150

The answer for n = 2 is,

$\int_{0}^{12}(2 \times x^{2} + 1)\times dx$

=$[2 \times \frac {x^{3}}{3} + x]_{0}^{12}$

= 1164