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Integrate
Solution:
Integrating the trigonometric functions is not the easy one because you will use the trigonometric identities often. You must remember or memorize all the trigonometric identities and formulas so that you can integrate the trigonometric functions very well. Let's start for the given problem. First, group the Sin x and Cos 2x in the given equation
Apply the Sum and Product of Two Angles Formula for the grouped term
At the first term of the above equation, we cannot integrate the trigonometric function immediately because the trigonometric function has exponent. If the du of the first term is present, then we can integrate it by integration of power. We can convert the trigonometric function of the first term into a single exponent by using the Half Angle Formula.
At the second term of the above equation, the product of two trigonometric functions have different angles. We have to use the Sum and Product of Two Angles Formula again.
