Question
Find the area under the curve $y=f(x)$ over the stated interval.$$f(x)=\frac{1}{x} ;[1,5]$$
Step 1
This is equivalent to finding the definite integral of the function from 1 to 5. So, we write this as: $$ \int_{1}^{5} f(x) \, dx = \int_{1}^{5} \frac{1}{x} \, dx $$ Show more…
Show all steps
Your feedback will help us improve your experience
Paul Teng and 91 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
Find the area under the curve $y=f(x)$ over the stated interval. $$f(x)=x^{-3 / 5} ;[1,4]$$
Integration
The Fundamental Theorem of Calculus
Find the area under the curve $y=f(x)$ over the stated interval. $$f(x)=e^{x} ;[1,3]$$
Find the area under the curve $y=f(x)$ over the stated interval. $$ f(x)=x^{4} ;[-1,1] $$
INTEGRATION
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD