What is the antiderivative of #x^2/5#? thanks!?

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What is the antiderivative of #x^2/5#? thanks!?

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Answer 1 · 2015-06-08T03:18:16

#color(red)(x^3/15+c)#

Consider the integral:
#intx^2/5dx=#
Remember that the integral of #x^n# is #x^(n+1)/(n+1)# so:
#intx^2/5dx=1/5intx^2dx=1/5x^(2+1)/(2+1)+c=1/5x^3/3+c=#
#=x^3/15+c#

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What is the antiderivative of #x^2/5#? thanks!?

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