# How do you find the following indefinite integral of #(x^(2)+sin(2x))dx#?

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To find the indefinite integral of ( \int (x^2 + \sin(2x)) , dx ), you can integrate each term separately. The integral of ( x^2 ) is ( \frac{x^3}{3} ) and the integral of ( \sin(2x) ) is ( -\frac{1}{2}\cos(2x) ). So, the indefinite integral of ( (x^2 + \sin(2x)) ) is ( \frac{x^3}{3} - \frac{1}{2}\cos(2x) + 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.

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