7. Find the integral $\int x\sqrt{4+x}dx$ using trigonometric substitution.
Added by Gary C.
Close
Step 1
To find the integral of x^4 + x, we can use the trigonometric substitution x = tan(theta). Show more…
Show all steps
Your feedback will help us improve your experience
Eleni Katirtzoglou and 57 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 indefinite integral, using a trigonometric substitution and a triangle to express the answer in terms of $x$ $$\int \frac{\sqrt{x^{2}+4}}{x^{4}} d x$$
Integration
Algebraic Identities and Trigonometric Substitutions
Integrate using the method of trigonometric substitution. Express the final answer in terms of the variable. $$\int \frac{x^{2} d x}{x^{2}+4}$$
Techniques of Integration
Trigonometric Substitution
Integrate using the method of trigonometric substitution. Express the final answer in terms of the variable. $$\int \frac{d x}{\sqrt{4-x^{2}}}$$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD