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The antiderivative of 2x is x2.

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The antiderivative of 2x is x2.

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The antiderivative of a function which is equal to 0 everywhere is a function equal to 0 everywhere.

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35x2

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Using u-substitution (where u = sinx), you'll find the antiderivative to be 0.5*sin2x + C.

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I assume you mean -10x^4?

In that case, antiderivative would be to add one to the exponent, then divide by the exponent. So -10x^5, then divide by 5. So the antiderivative is -2x^5.

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