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find anti derivative of f(x) 5x^4/3 + 8x^5/4

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Q: An anti derivative of f(x) 5x43 plus 8x54 is?
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What is the anti derivative of x squared plus x?

The anti-derivative of X2 plus X is the same as the anti-derivative of X2 plus the anti-derivative of X. The anti derivative of X2 is X3/3 plus an integration constant C1 The anti derivative of X is X2/2 plus an integration constant C2 So the anti-derivative of X2+X is (X3/3)+(X2/2)+C1+C2 The constants can be combined and the fraction can combined by using a common denominator leaving (2X3/6)+(3X2/6)+C X2/6 can be factored out leaving (X2/6)(2X+3)+C Hope that helps


What is the antiderivative of sqrtx plus 4ex minus sinx?

The anti-derivative of sqrt(x) : sqrt(x)=x^(1/2) The anti-derivative is x^(1/2+1) /(1/2+1) = (2/3) x^(3/2) The anti-derivative is 4e^x is 4 e^x ( I hope you meant e to the power x) The anti-derivative of -sin(x) is cos(x) Adding, the anti-derivative is (2/3) x^(3/2) + 4 e^x + cos(x) + C


What is the anti-derivative of x squared plus 3?

∫ (x2+3) = ∫x2 + ∫3(1/3)X3 + 3X + C


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The derivative of 2x2 + 4x + 8 is 4x+4.


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