Find the general indefinite integral (question in despription)

Question

∫(t²-2t÷t⁴)dt

 

my teacher got: -1/t -2t +c 

but i got: -1/t +1/t² +c

Answer 1

Assuming the correct integrand, with proper grouping, is

 

(t² - 2t)/t⁴ = 1/t² - 2/t³,

 

the integral is 

 

-1/t + 1/t² + c