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Integration by Partial Fractions
1.) ∫dz/z+z^3
2.) ∫(2s+1)ds/s^2(s^2+1)
Integration by Partial Fractions
1.) ∫(3x^2-x+1)/(x^3-x^2)dx
2.) ∫(t^2dt)/(t+1)^3
Integration by Partial Fractions
1.) ∫dy/(y^2+2y)
2.) ∫(x^3+x+2)/(x^2-1)dx
The graph of a certain function f has the slope 4x3 − 5 at each point (1,2). Find the function f.
1. Use the ratio an+1/an to show that the given siquence {an} is strictly increasing or strictly decreasing.
{nn^2/(2n)!}n=1+infinity
Rotate the region bounded by x
=
(
y
−
2
)
2
x=(y−2)2
, the x
x
-axis and the y
y
-axis about the x
x
-axis.
Marimar comes from an island-town of 2000 people. She goes to the mainland with a friend and there they catch a highly contagious virus. A week after their return to their island-town, 8 people are infected. How many will be affected after another week?
Differentiate with respect to x , x³-2x from the first principle
An open box is to be made with a capacity of 36 000 cu cm. Find the least material
used in making the box if the length is twice its width.
. Find the dimensions of the right circular cylinder of greatest volume which can be
inscribed in a right circular cone with radius of 5 in and height of 12 in.
