Question

find the indefinite integral (3x-7)^-6 dx

Answer 1

What do you think?

Answer 2

That I have no idea how to even start! Everything I try I get the wrong answer

Answer 3

Okay we can use power rule for integration here directly,
\[\int\limits x^n dx=\frac{x^{n+1}}{n+1}\]

Answer 4

Followed by chain rule
\[\int\limits (3x-7)^{-6} dx \\ \\ =\frac{(3x-7)^{-5}}{-5(3)}+c\]
The 3 from the denominator comes from chain rule, which means you'll differentiate (3x-7)