What is the most appropriate for: 1. u? a. u = x10 b. u = x-10 c. u = ln x 2. dv? a. dv = x10 dx b. dv = x-10 dx c. dv = ln x dx 3. du? a. du = 1/9 x-9 b. du = 1/x c. du = -(1/9)x-9 4. expression for v? a. v = 1/x b. v = -(1/9)x-9 c. v = (1/9)x-9 5. equivalent antiderivative of the given

Consider the following integral:

∫ (ln x/x¹⁰) dx

What is the most appropriate for:

1. u?

a. u = x¹⁰

b. u = x^-10

c. u = ln x

2. dv?

a. dv = x¹⁰ dx

b. dv = x^-10 dx

c. dv = ln x dx

3. du?

a. du = 1/9 x^-9

b. du = 1/x

c. du = -(1/9)x^-9

4. expression for v?

a. v = 1/x

b. v = -(1/9)x^-9

c. v = (1/9)x^-9

5. equivalent antiderivative of the given integral?

a. -(1/9x⁹)ln x - (1/81x⁹) + C

b. -(1/9x⁹)ln x + (1/81x⁹) + C

c. -(1/9x⁹) - (1/81x⁹) ln x+ C

d. -(1/9x⁹) + (1/81x⁹) ln x + C