Question
Find the indefinite integral.$$\int 3 t^{-7} d t$$
Step 1
First, we can rewrite the integral as: $$\int 3t^{-7} dt = 3\int t^{-7} dt$$ Now, we can use the power rule for integration, which states that for any real number $n \neq -1$: $$\int x^n dx = \frac{x^{n+1}}{n+1} + C$$ Show more…
Show all steps
Your feedback will help us improve your experience
Nishant Tyagi and 75 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. $$ \int t \cdot 3^{-t} d t $$
Techniques Of Integration
Integration By Parts
Find the indefinite integrals. $$\int(4 t+7) d t$$
Constructing Antiderivatives
Constructing Antiderivatives Analytically
Evaluate the indicated integral. $$ \int \frac{2 t+3}{t+7} d t $$
Integration
Integration by Substitution
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD