I am to integrate this:

integral(x6/(x7+5)7)dx

The steps I took initially were:

Substitute u for (x7+5)

du = 7x6 or 1/7 du = x⁶

When I substitute this into the equation, I got:

1/7integralsign1/u7

Substituting u⁷ with the antiderivative u8/8 gave me:

1/7integralsign1/(u8/8) or 1/7integralsign8/u8 + C

Then I substituted back the original u value to get:

1/78/(x7+5)8+C or 8/7(x7+5)8+C

Is this right? When I tried to enter the statement into my school's system, it said there was an error. Thank you.