Answered

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Evaluate the integral of the product if x and quantity x squared plus 1 and x, dx.

Evaluate The Integral Of The Product If X And Quantity X Squared Plus 1 And X Dx class=

Sagot :

Given

The integral is given

[tex]\int x(x^2+1)dx[/tex]Explanation

To determine the solution to the integral.

[tex]\int x(x^2+1)dx=\int x^3+x\text{ dx}[/tex][tex]\int(x^3+x)dx=\frac{x^4}{4}+\frac{x^2}{2}+C[/tex]Answer

Hence the correct option is C.

[tex]\frac{x^4}{4}+\frac{x^2}{2}+C[/tex]

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