Question

11) Your friend is trying to calculate $\int_{-2}^{2} \sqrt{4 - x^2} dx$. (3 pts) a) Your friend sees an inside function, so they are thinking of using u-substitution with $u = 4 - x^2$. Briefly explain why this approach won't end up working.

          11) Your friend is trying to calculate $\int_{-2}^{2} \sqrt{4 - x^2} dx$.
(3 pts) a) Your friend sees an inside function, so they are thinking of using u-substitution with $u = 4 - x^2$.
Briefly explain why this approach won't end up working.

11) Your friend is trying to calculate ∫-2^2√(4 - x^2) dx.
(3 pts) a) Your friend sees an inside function, so they are thinking of using u-substitution with u = 4 - x^2.
Briefly explain why this approach won't end up working.

Added by Fernando S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Justin Swantek

Step 1

Then du = -2x dx, so dx = du/(-2x). Show more…

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11) Your friend is trying to calculate $$ \int_{-2}^{2} \sqrt{4-x^2} dx. $$ (3 pts) a) Your friend sees an inside function, so they are thinking of using u-substitution with $$u = 4-x^2$$. Briefly explain why this approach won't end up working.