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Let {{MATH_7}} be continuous on {{MATH_8}}. If {{MATH_9}} is {{CMD_10}}any{{CMD_11}} antiderivative of {{MATH_12}}, then {{MATH_13}} {{CMD_14}} Call {{MATH_15}} the accumulation function given by {{MATH_16}} By the First Fundamental Theorem of Calculus, {{MATH_17}} is an antiderivative of {{MATH_18}}. We see that both: {{ENV_19}} Fix {{MATH_20}} as any antiderivative of {{MATH_21}}. Since {{MATH_22}} and {{MATH_23}} have the same derivative, they differ by a constant. That is, there is a constant {{MATH_24}} such that for any {{MATH_25}} in the interval {{MATH_26}}, {{MATH_27}}. Then: {{ENV_28}} {{COMMENT_29}} {{COMMENT_30}} {{COMMENT_31}} {{COMMENT_32}} {{COMMENT_33}} {{COMMENT_34}} {{COMMENT_35}} {{COMMENT_36}} {{COMMENT_37}} {{COMMENT_38}} {{COMMENT_39}} {{COMMENT_40}} {{COMMENT_41}} {{COMMENT_42}} {{COMMENT_43}} {{COMMENT_44}} {{COMMENT_45}} {{CMD_46}} {{CMD_47}}

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