Question

Find the area of the region bounded by the curve 𝑦 =square root of x^9-9/x^2,
𝑡ℎ𝑒 𝑥 − 𝑎𝑥𝑖𝑠, 𝑎𝑛𝑑 𝑡ℎ𝑒 𝑙𝑖𝑛𝑒 𝑥 = 5

Answer 1

Do you mean
√(x^9-9) / x^2
or
√((x^9-9)/x^2)
or, more probably,
√(x^2-9) / x^2

??
In any case, you have problems at x=0

Answer 2

hello, correction, its √(x^2-9) / x^2

Answer 3

since y is undefined for x<3 you have a problem. But, using integration by parts,

∫√(x^2-9) / x^2 dx = -arcsin(x/3) - √(x^2-9)/x

now it's even worse. arcsin(x/3) is undefined for x>3 !

Maybe you can figure out what's to be done ...