Evaluate the integral \int \cos^4(4x+5) \,dx

Question:

Evaluate the integral {eq}\int \cos^4(4x+5) \,dx {/eq}

Evaluating Integrals:

In this question, we have to evaluate the given indefinite integral. Here we use reduction formula and some trigonometric identity to evaluate the given integral .

Answer and Explanation:

{eq}\int \cos^4(4x+5) \,dx {/eq}

Let {eq}4x+5=u {/eq}

{eq}dx = du/4 {/eq}

So we will get:

{eq}\frac{1}{4} \int \cos^4(u) \,du {/eq}

{eq}\cos...

See full answer below.

Become a Study.com member to unlock this answer! Create your account

View this answer

Learn more about this topic:

Loading...
How to Calculate Integrals of Trigonometric Functions

from Math 104: Calculus

Chapter 13 / Lesson 3
18K

Related to this Question

Explore our homework questions and answers library