Question

if du/dx=2x+6 what does du equal? this is using substitution for solving an indefinite integral.

Answer 1

i guess
\[du=(2x+6)dx\] what is the actual problem?

Answer 2

du = (2x + 6)dx

You can now integrate both sides to solve for u

Answer 3

\[u = x^2 + 6x + C\]

Answer 4

\[\int\limits_{?}^{?} x+3/(x^2+6x)^2 dx\]

Answer 5

oh ok
\[u=x^2+6x\]
\[du= (2x+6)dx\]
\[\frac{1}{2}du=(x+3)dx\] and then you get
\[\frac{1}{2}\int \frac{1}{u}du\]

Answer 6

a set up for a u - sub.
then anti derivative is
\[\frac{1}{2}\ln(u)\] , replace u by
\[x^2+6x\] and you are done

Answer 7

omg thank you sooooo much!!!