Question

Help me plz......... ​

Answer 1

`\\ \tt\hookrightarrow {\displaystyle{\int}}\left((1)/(t^2)-(2)/(t^3)\right)dt`

`\\ \tt\hookrightarrow {\displaystyle{\int}}(t^(-2)-2t^(-3))dt`

`\\ \tt\hookrightarrow {\displaystyle{\int}}t^(-2)-2{\displaystyle{\int}}t^(-3)dt`

`\\ \tt\hookrightarrow (t^(-1))/(-1)-2(t^(-2))/(-2)`

`\\ \tt\hookrightarrow (-1)/(t)+(1)/(t^2)`

`\\ \tt\hookrightarrow (-2+1)/(t^2)`

`\\ \tt\hookrightarrow (-1)/(t^2)`

Answer 2

`=\int\limit((1)/(t^(2) )-(2)/(t^(3) )) dt \\\\=\int\limit(1)/(t^(2) )dt-2\int\limit(1)/(t^(3) )dt\\\\=-(1)/(t)-2 \int\limit(1)/(t^(3) )dt\\\\=(1-t)/(t^(2) )`

Explanation: