What is $int (x+7)dx$ ?

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Answer 1 · 2017-01-28T02:27:10

$intx+7dx=x^2/2+7x+C$

$intf(x)dx=F(x)+C$ where $F'(x)=f(x)$

Since $(x^2/2)'=x$ by the power rule $intxdx=x^2/2$

and since $intcdx=cintdx$ then $int7dx=7intdx=7x$

And since the integral of a sum is the sum of integrals

$intx+7dx=x^2/2+7x+C$

What is int (x+7)dxint (x+7)dx?