YOU SAID:

The derivative of the integral from a to b of f of x is equal to f of x

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積分の微分は x の f の b に x の f と同じです

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Differentiation of integrals is same as f x b f x

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積分の分化は b f x f と同じ x

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The differentiation of integrals is the same as b f x f x

INTO JAPANESE

積分の微分は b f と同じ f x x

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Integral differential is the same as b f f x x

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微分積分は b f と同じ x x x

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Calculus is the same as b f x x x

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微積分は b f と同じ x x x

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Calculus is the same as b f x x x