Question
Use differentiation to prove the two formulas from Theorem 4.17 for integrating exponential functions.
Step 1
17 for integrating exponential functions. Typically, these formulas are: 1. ∫e^x dx = e^x + C 2. ∫a^x dx = (a^x / ln(a)) + C, where a > 0 and a ≠ 1. Show more…
Show all steps
Your feedback will help us improve your experience
Muhammad Saleem and 79 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
Use differentiation to prove the two formulas from Theorem 4.16 for integrating power functions.
Definite Integrals
Indefinite Integrals
Prove that $\int e^{x} d x=e^{x}+C$ in two ways: (a) by using the first part of Theorem 4.17 and (b) by using the second part of Theorem 4.17 .
Show that the indefinite integral of the difference of two functions is the difference of the indefinite integrals.
Integration
Antiderivatives and Indefinite Integrals
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD