Question

evaluate the integral.
int_{1}^{1}left(x^{2}-9 x+6
ight)^{7} d x
int_{1}^{1}left(x^{2}-9 x+6
ight)^{7} d x= (type an exact answer in simplified form.)

Explanation:

Step1: Recall the property of definite integral

If \(a = b\), then \(\int_{a}^{b}f(x)dx=0\). Here, \(a = 1\) and \(b = 1\), and \(f(x)=(x^{2}-9x + 6)^{7}\).

Answer:

\(0\)