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What is the anti-derivative of 5x?


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Answered 2013-03-03 09:19:33

∫ xⁿ dx = xn + 1/(n + 1) + c where n is any constant except 0 and -1.

Apply that rule to get:

∫ 5x dx

= 5 ∫ x dx [Factor out the constant]

= 5 ∫ x1 dx [Make note of the exponent for x]

= 5x1 + 1/(1 + 1) + c

= (5/2)x2 + c

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