4√x⁷ integrate

Answer 1

To integrate 4√x⁷, we can rewrite it as 4x^(7/2):

∫(4x^(7/2)) dx

Now we can integrate by using the power rule for integration:

∫(4x^(7/2)) dx = (4/(9/2 + 1)) x^(9/2 + 1) + C

Simplifying further:

∫(4x^(7/2)) dx = 8/11 x^(11/2) + C

Therefore, the indefinite integral of 4√x⁷ is 8/11 x^(11/2) + C.