Question
Find the indefinite integral.$$\int \frac{3}{\sqrt{t}} d t$$
Step 1
First, we can rewrite the integrand as a power of $t$: $$\int \frac{3}{\sqrt{t}} dt = \int 3t^{-1/2} dt$$ Now, we can use the power rule for integration, which states that $$\int x^n dx = \frac{x^{n+1}}{n+1} + C$$ Show more…
Show all steps
Your feedback will help us improve your experience
Nishant Tyagi and 96 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 indefinite integral. $$\int \frac{t^{3}+\sqrt[3]{t}}{t^{2}} d t$$
Integration
Antiderivatives and the Rules of Integration
Find the indefinite integral. $$\int 3 t^{2} \sqrt{t^{3}+2} d t$$
Integration by Substitution
Find the indefinite integral. $$\int t^{2} \sqrt[3]{t^{3}-1} d t$$
Integration Techniques, L’Hopital’s Rule, and Improper Integrals
Basic Integration Rules
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD