Integrating Square Roots

Unknown Grade45 minutes

Learning Objective

I can integrate square root functions by applying substitution techniques.

Practice Questions

This lesson includes 7 practice questions to reinforce learning.

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1. Explain the process of substitution in integration, particularly when integrating square root functions. Provide an example.

2. Given the function f(x) = √(1 - x²), identify an appropriate substitution and calculate the integral ∫√(1 - x²) dx.

3. Describe how to determine the new limits of integration when performing a substitution in an integral. Provide an example using the substitution u = 1 - x².

...and 4 more questions

Educational Video

Learn to evaluate using the definite integral with square root

Brian McLogan

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