Question

Integrate................

Answer 1

1) integral 2x(1-(x^-3)) dx = integral 2x-(2x^-2) dx
= 2/2 (x^2) - ((2/(-1)) x^-1) + C
= x^2 + (2/x) + C

2) integral (8y - (2/y^(1/4))) dy = integral (8y - (2y^(-1/4))) dy
= 8/2 (y^2) - 2/(3/4) y^(3/4) +C
= 4y^2 - 8/3 y^(3/4) + C

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