Category: Integral Calculus, Trigonometry
"Published in Newark, California, USA"
Evaluate
Solution:
Consider the given equation above
The given equation above has both trigonometric functions at the numerator and the denominator. The denominator contains logarithmic function of a trigonometric function. We need to assign u by considering the complicated part in the equation.
If
then it follows that
Since the numerator has the same du, then the above equation can be integrated by simple integration as follows
Category: Integral Calculus, Algebra
"Published in Newark, California, USA"
Evaluate
Solution:
Consider the given equation above
Since the numerator is greater than the denominator, then we have to do the division of polynomial as follows
The above equation becomes
If
then
Therefore,
Category: Integral Calculus, Algebra
"Published in Newark, California, USA"
Evaluate:
Solution:
Consider the above equation
The above equation cannot be integrated by simple integration because one of the variables has a radical sign. We need to eliminate the radical sign by substituting with another variable as follows
Let
So that the above equation becomes
but
Therefore,
