Help please - integral evaluation

Question

Please evaluate the integral 

Options:

1. 
2. 
3. 
4. 

Answer 1

Write the combination of radical and exponent as a fraction exponent and you can integrate.

∫√(x⁵)dx = ∫ x^5/2dx = (1/(5/2+1))x^(5/2+1) + C = 2/7x^7/2 + C