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anti derivative of ax^n is (a/n+1)x^(n+1) a is a const n is power of variable and answer

e6x^2

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Q: What is the anti derivative of e3x?
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What is the derivative of e raised to the 3x?

d/dx e3x = 3e3x


What is the anti derivative of negative sine?

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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


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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


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What is the relationship of integral and differential calculus?

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