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Is integration a way of calculating the volume of the same function equation with an additional dimension or is it always completely new volume rotated about an axis ie a circle to a sphere?
Geometrically the definite integral from a to b is the area under the curve and the double integral is the volume under the surface. So just taking the integral of a function does not yield the volume of the solid made by rotating it around an axis. An integral is only a solid of revolution if you take an infinite sum of infinitesimally small cylinders that is the disk method or you do the same with shells.
How do you evaluate the integral of 2udu divided by 1 plus u squared?
for the integral of (2x)dx/(1+x2 ) Take (1+x2 ) as your 'u' substitution. find du, du= 2x dx use u substitution to write new integral, integral of du/u the integral of du/u= ln abs(u) + C therefore, your original problem becomes an answer with ln ln abs (1+x2) + C *abs refers to absolute value of the parentheses
What do you find in the New Testament?
The gospel of Christ
How do you find out how many likes you have on Facebook?
You can't with the new Facebook :/
How many times is the word devil mentioned in the Bible?
In the New Kings James version you will only find the term "devil" in the New Testament 33 times. In the New American Standard you'll find it 32 times and in the King James version you'll find it 57 times. This information can be found at www.crosswalk.com.
