Question
Use the Fundamental Theorem to calculate the definite integrals.$$\int_{1}^{4} \frac{e^{\sqrt{x}}}{\sqrt{x}} d x$$
Step 1
We let $u = \sqrt{x}$, which means $x = u^2$. Then, the differential $dx$ is given by $2u du$. Show more…
Show all steps
Your feedback will help us improve your experience
Kamalesh Bagrecha and 77 other Calculus 2 / BC 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
Use integration by substitution and the Fundamental Theorem to evaluate the definite integrals. $$\int_{1}^{4} \frac{e^{\sqrt{x}}}{\sqrt{x}} d x$$
Antiderivatives and Applications
Integration by Substitution
use the Fundamental Theorem to calculate the definite integrals. $$\int_{1}^{8} \frac{e^{\sqrt[3]{x}}}{\sqrt[3]{x^{2}}} d x$$
Integration
Use the Fundamental Theorem to calculate the definite integrals. $$\int_{1}^{4} \frac{\cos \sqrt{x}}{\sqrt{x}} d x$$
Transcript
600,000+
Students learning Calculus with Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
