What is $\int 2x + 4$ ?

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Answer 1 · 2016-12-07T21:36:15

$int(2x+4)dx=x^2+4x$

Consider the power rule for integration:

$intx^ndx=(x^n+1)/(n+1)$

For the first part of your integrand:

$int2xdx=2intx^1dx=2(x^(1+1))/(1+1)=cancel2(x^2)/cancel2=x^2+c$

The second part is much more obvious:

$int4dx=4x+c$ (Since the derivative of $4x+c$ is $4$ )

$:.int(2x+4)dx=x^2+4x+c$

What is \int 2x + 4\int 2x + 4?