Copyright

Find {eq}\displaystyle \int x^4 - 5e^{-2x} \ dx {/eq}

Question:

Find {eq}\displaystyle \int x^4 - 5e^{-2x} \ dx {/eq}

Integrals

We split the given function into pieces that correspond to the given definite integral values. We then substitute the given values to get the answer.

We know that

{eq}\displaystyle \int (f(x)+g(x))dx=\int f(x)dx+ \int g(x) dx{/eq}

{eq}\displaystyle \int af(x)dx=a\int f(x)dx{/eq}

Answer and Explanation: 1

Become a Study.com member to unlock this answer!

View this answer

{eq}\displaystyle \int x^4 - 5e^{-2x} \ dx {/eq}

We know that

{eq}\displaystyle \int f\left(x\right)\pm g\left(x\right)dx=\int...

See full answer below.


Learn more about this topic:

Loading...
Evaluating Definite Integrals Using the Fundamental Theorem

from

Chapter 16 / Lesson 2
1.7K

In calculus, the fundamental theorem is an essential tool that helps explain the relationship between integration and differentiation. Learn about evaluating definite integrals using the fundamental theorem, and work examples to gain understanding.


Related to this Question

Explore our homework questions and answers library