Question

Please help me find the integral of
∫(12/∛(t^2 )-5/e^2t - 7/t^2 )dt

Answer 1

The original equation

Answer 2

Do you know that you can split up the integral?

Answer 3

oops sorry, the first one should have a 12 in front of the integral, I misread the equation above, besides that it's correct though.

Answer 4

I will rewrite it to avoid confusion

Answer 5

The first integral is 12t^-2/3

Answer 6

\[ \large 12\int t^{-\frac{2}{3}} dt -5 \int e^{-2t}dt -7 \int t^{-2} dt \]

Answer 7

correct @nishika17 , my eyes are getting worse it seems (-;

Answer 8

Ya now it can be solved by simple integral ormula

Answer 9

the middle integral requires a substitution, or an advanced guess.

Answer 10

\[\int\limits e^-2t.dt put -2t= u differentiating on both sides we get -2 .dt= du or dt= -du/2\]

Answer 11

\[\int\limits -1/2 e^u. du = -1/2 e^u or -1/2e^-2t\]

Answer 12

\[thats the answer of \middle part o \int\limits\]

Answer 13

Thank you all so much for you great help!

Answer 14

welcome