Integrate 2x^4 - 4/sqrt(x) + 3 dx

First we will simplify 4/sqrt(x) so it is easier to integrate.sqrt(x) is equal to x1/2, therefore 4/sqrt(x) = 4/x1/2 .We bring up x1/2 so 4/x1/2 becomes 4x-1/2 .So now we will integrate the simplified equation 2x4 - 4x-1/2+ 3.To integrate we add one to the power and divide by the new power. To numbers without an x, we add an x.Therefore we get 2x5/5 - 4x1/2/(1/2) + 3x + c.Simplified this is, 2/5x5 - 8x1/2 + 3x + c.When integrating, always remember to add c, this represents a constant.

Answered by Maleehah A. Maths tutor

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