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evaluate the integral. int_{4}^{4}left(x^{2}-7 x+5 ight)^{8} d x int_{4…

Question

evaluate the integral.
int_{4}^{4}left(x^{2}-7 x+5
ight)^{8} d x
int_{4}^{4}left(x^{2}-7 x+5
ight)^{8} d x= (type an exact answer in simplified form.)

Explanation:

Step1: Use the property of definite integral

If \(a = b\), then \(\int_{a}^{b}f(x)dx=0\). Here \(a = 4\) and \(b = 4\), and \(f(x)=(x^{2}-7x + 5)^{8}\).

Answer:

\(0\)