- #1

m0gh

- 27

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## Homework Statement

Evaluate the integral x^(-1/5) tan(x^(4/5)) dx

## Homework Equations

## The Attempt at a Solution

Set u = x^(4/5)

Therefore du = 4/5 x ^ (-1/5) dx

which gave me 5/4 ∫ tan(u) du

integral of tan is natural log of absolute value of sec(u)

sub in x^(4/5) for u and get 5/4 natural log of absolute value of sec(x^(4/5)) + c

I'm sorry if I didn't use the proper formatting as I'm not %100 how. I will attach an image to clarify my work. I used an indefinite integral calculator to check my work but it is giving a different answer. Can anyone verify that this solution is correct?