Integral is as follows

4x^-4 -3x^(2/3)dx

we integrate w.r.t x

4x^(-4+1)/-4+1 - 3x^(2/3 +1)/(2/3 +1)

=4x^-3/-3 - 3x^(5/3 ) /(5/3)

=(-4/3)x^-3 - (9/5) x^5/3

=-4/3x^3 - (9/5)x^5/3

you forgot the negative sign before the third power in the final solution but made it easy to understand...thank you

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