Asked by pandu
integrate sqrt(2((sin(x))^2 + 50((cos(x))^2 - 10sin(x)cos(x))
Answers
Answered by
Steve
You sure you don't mean 20sinx*cosx? That would give
√(2sin^2(x) + 50cos^2(x) - 20sinx*cosx)
√2 √(sin^2x + 10sinx*cosx + 25cos^2x)
√2 √(sinx+5cosx)^2
√2 (sinx + cosx)
which would be easy to integrate.
As it is given, there is no integral using elementary functions.
√(2sin^2(x) + 50cos^2(x) - 20sinx*cosx)
√2 √(sin^2x + 10sinx*cosx + 25cos^2x)
√2 √(sinx+5cosx)^2
√2 (sinx + cosx)
which would be easy to integrate.
As it is given, there is no integral using elementary functions.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.