Question

 Integration of ³√(x⁵) with respect to x is: *

0/1

5/3(x)²/³

3/4(x)³/⁴

3/7(x)⁸/³

3/8(x)⁸/³

None of the above
with explantiom

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Answer 1

Answer:

Explanation: ∫ (aⁿ) dx =(aⁿ⁺¹)/n+1

∫ ³√(x⁵) dx =∫(x⁵)^(1/3) dx

                 = ∫(x^(5/3) dx

                 =(x^[(5/3)+1] ) [(5/3)+1]

                 =[x^(8/3) ]/(8/3)

                 = x^(8/3) × (3/8)

∫ ³√(x⁵) dx =(3/8)(x^(8/3) )