Question: Evaluate the integral using the indicated trigonometric substitution. Sketch and label the associated right triangle. a. dx/(x2 4 - x2) ................... x = 2sin

Evaluate the integral using the indicated trigonometric substitution. Sketch and label the associated right triangle.
a. ∫ dx/(x2 √4 - x2) ................... x = 2sinθ
b. ∫ √(x2 - 4)/x dx..................... x = 2sec θ

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a Let x 2 sin where 2 2 Then dx 2 cos d and 4 x 2 4 4sin 2 4cos 2 2cos 2cos Thus dxx24x2 ... View full answer

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