\int x^(2)e^(-2x)dx 5. $$ \int x^2 e^{-2x} dx $$
Added by Misty F.
Close
Step 1
This integral can be solved using integration by parts, which states that $$ \int u dv = uv - \int v du $$. We need to apply integration by parts multiple times because of the $$ x^2 $$ term. Show more…
Show all steps
Your feedback will help us improve your experience
Nicole Hoffman and 62 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
$$ \int x^{2} e^{-2 x^{3}} d x $$
Integration
Integration By Substitution
$\int x^{2} e^{2 x} d x$
Evaluate the integral. $$ \int x^{2} e^{-2 x} d x $$
PRINCIPLES OF INTEGRAL EVALUATION
Integration by Parts
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD