In this tutorial we shall explain integration of cosine inverse function it is an important integral function, but it has no direct method to find we shall find the integration of cosine inverse by using integration by parts method.
The integration of cosine inverse is of the form
By using integration by parts, it must have at least two functions, it in this function it has only one function that is , now consider second function as . Now the integration becomes
Take first function is and second function will be
Using formula for integration by parts, we have
Equation (i) becomes using above formula, we have
Multiplying and dividing by -2, we have
Now further we can use this integration of cosine inverse as a formula.