Question

integration of root5x dx with limit 5 and 1​

Answer 1

Answer:

$\frac{2(25 - \sqrt{5}) }{3}$

Step-by-step explanation:

∫₁⁵√(5x)dx

= ∫₁⁵√5√(x)dx

= √5∫₁⁵√(x)dx

= √5*(x√x/1.5)₁⁵

= √(5)*(2/3)*(5√(5)- 1√(1))

= (2/3)*√(5)*(5√(5)-1)

= (2/3)*(25-√(5))

$= \frac{2(25 - \sqrt{5} )}{3}$