"Published in Newark, California, USA"
Evaluate
Solution:
Consider the given equation above
There are two ways in getting the integral of the above equation. Lets consider the two methods as follows:
Method 1:
If
then
Hence, the given equation becomes
Next, we need to eliminate secant function using the trigonometric identities as follows
The above equation becomes
Integrate the above equation using integration by powers, we have
Therefore,
Method 2:
If
then
Hence, the given equation becomes
Next, we need to eliminate tangent function using the trigonometric identities as follows
The above equation becomes
Integrate the above equation using integration by powers, we have
Therefore,
