Question

Find an antiderivative of the given function. 1) $x^{-3} + \frac{1}{4\sqrt{x}}$ 2) $cos\ \pi x + 6\ sin\frac{x}{6}$

          Find an antiderivative of the given function.
1) $x^{-3} + \frac{1}{4\sqrt{x}}$
2) $cos\ \pi x + 6\ sin\frac{x}{6}$

Find an antiderivative of the given function.
1) x^-3 + (1)/(4√(x))
2) cos π x + 6 sin(x)/(6)

Added by Tara H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Matthew Elliott

Step 1

The antiderivative of 1x is (1/2)x^2 (using the power rule for integration). The antiderivative of -3 is -3x (using the constant rule for integration). The antiderivative of 1 is x (using the constant rule for integration). Show more…

Show all steps

Thanks for your feedback!

Both to solve would be appreciated. Find an antiderivative of the given function 1x-3+1 4x 2) cos rX +6 sin 6

Play audio

Feedback

Matthew Elliott and 97 other subject Calculus 1 / AB educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later

Question

Find an antiderivative of the given function. 1) $x^{-3} + \frac{1}{4\sqrt{x}}$ 2) $cos\ \pi x + 6\ sin\frac{x}{6}$

Please give Ace some feedback