Chapter 9

Find an approximate value of $\int_{1}^{15} x d x$ by applying the left-end rule with the partition
{1.1 ,1.2 ,1.3 ,1.4 1.5 }.
1. 1.5
2. 0.6
3. 0.4
4. 1.7
Find the area of the region bounded by 3x− 2y+ 6 = 0, x = −3, x =1 and x-axis
1. 7.5
2. 0.955
3. 1
4. 6.755
A watermelon has an ellipsoid shape which can be obtained by revolving an ellipse with major-axis 20 cm and minor-axis 10 cm about its major-axis. Find its volume using integration.
1. 100/3pie
2. 1000/3pie
3. 1000/4pie
4. 100/3pie
Find the area of the region bounded between the curves y = sin x and y = cos x and the
lines x = 0 and x = pie.
1. 2
2. $2 \sqrt{2}$
3. $2 \sqrt{3}$
4. $3 \sqrt{3}$