# How do you evaluate the definite integral #int sin2theta# from #[0,pi/6]#?

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To evaluate the definite integral ∫ sin^2(θ) from 0 to π/6, you can use the trigonometric identity sin^2(θ) = (1 - cos(2θ))/2. Then, integrate (1 - cos(2θ))/2 with respect to θ from 0 to π/6. After integrating, substitute the upper limit (π/6) and subtract the result of substituting the lower limit (0). This will give you the value of the definite integral.

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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.

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