Integration - Trigonometric Functions, 2

Category: Integral Calculus, Trigonometry, Algebra

"Published in Newark, California, USA"

Evaluate 

Solution:

Consider the given equation above

We have to reduce the degree of trigonometric function by substituting the half-angle formula as follows

Expand using the Binomial Theorem, we have

Consider

Consider 

Consider

Consider

Consider

Therefore,

Derivative - Exponential Functions

Category: Differential Calculus, Algebra

"Published in Suisun City, California, USA"

Find the derivative for 

Solution:

Consider the given equation above

Apply the derivative of a rational function, we have

Derivative - Algebraic Functions, Radicals, 2

Category: Differential Calculus, Algebra

"Published in Suisun City, California, USA"

Find the derivative for

Solution:

Consider the given equation above

Apply the derivative by power, we have