Question

Help please!

Evaluate the indefinite integral...

x^5((7+9x^6)^11) dx

Answer 1

u substitution works

Answer 2

\[u = 7+9x^6 \]du = ?

Answer 3

yes - i just looked it up - use substitution

Answer 4

can you work out du ?

Answer 5

so it would be...

u=7+9x^6
du=54x^5
(1/54)=x^5

Answer 6

if u = ax^n
du/dx = an x^(n-1)

have you seen this before?

Answer 7

du / dx = 54 x^5

dx = du / 54x^5

so we get