Find the indefinite integral. {eq}\displaystyle \int cos \ 4x \ dx {/eq}


Find the indefinite integral. {eq}\displaystyle \int cos \ 4x \ dx {/eq}

Integral of a Trigonometric Function:

By solving an integral of a trigonometric function, we are finding an antiderivative of that function. In other words, we must obtain another trigonometric function, that by calculating its derivative, we obtain the function that is being integrated. With the help of integration formulas and knowing the derivatives of the trigonometric functions and using simple substitutions, we can solve the integral of a standard trigonometric function.

Answer and Explanation: 1

Become a member to unlock this answer!

View this answer

{eq}\eqalign{ & {\text{Let's solve the following indefinite integral }}\int {\cos \left( {4x} \right)} dx{\text{:}} \cr & {\text{Applying...

See full answer below.

Learn more about this topic:

Indefinite Integral: Definition, Rules & Examples


Chapter 7 / Lesson 14

Learn the concept and rules of indefinite and definite integrals, as well as how to find an indefinite integral through examples. View a table of integrals.

Related to this Question

Explore our homework questions and answers library