Question
Evaluate.$$\int_{0}^{1} \frac{\sqrt{x}}{1+\sqrt{x}} d x$$
Step 1
Let $u = \sqrt{x}$, which implies that $du = \frac{1}{2\sqrt{x}} dx$ or $2u du = dx$. Also, we need to change the limits of integration. When $x = 0$, $u = 0$ and when $x = 1$, $u = 1$. Show more…
Show all steps
Your feedback will help us improve your experience
Darshan Maheshwari and 70 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
Evaluate the integral. $\int_{0}^{1} x(\sqrt[3]{x}+\sqrt[4]{x}) d x$
Integrals
The Fundamental Theorem of Calculus
Evaluate the definite integral. $$ \int_{0}^{1} \frac{x}{\sqrt{1+x}} d x $$
Techniques of Integration
Integration Tables
Evaluate the definite integral. $$ \int_{0}^{1} x(\sqrt[3]{x}+\sqrt[4]{x}) d x $$
Indefinite Integrals and the Net Change Theorem
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD