Question

why integration like this "∫tan(x)*(sec(x)^4)dx" have different answers?

Answer 1

@SerikMB Hi,
\(\Huge \mathcal{\text{Welcome To OpenStudy}\ddot\smile} \)

The answer to a particular integral is unique. But sometimes we get different form of the same answer, like equivalent expressions.

Answer 2

so, both answers are correct?

Answer 3

yes, they both will be correct, (unless there was some error while solving it).
what 2 form did you get ?

Answer 4

"tan(x)^4 over 4 + tan(x)^2 over 2 +C" and "sec(x)^4 over 4 + C"

Answer 5

yes, they both are equivalent .

Answer 6

and both are correct.

Answer 7

do you know how they are equivalent ?
hint : sec^2 x = 1+ tan^2 x

Answer 8

yes, i know, thanks

Answer 9

welcome ^_^