How do you integrate #intsqrt(9-x^2)dx#?
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Ezra AdamsTo integrate ∫√(9 - x^2) dx, you can use the substitution method. Let x = 3sin(u), then dx = 3cos(u) du. Substitute these into the integral, simplify, and integrate. The result is (9/2)arcsin(x/3) + (3/2)x√(9 - x^2) + C, where C is the constant of integration.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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