Question

How do you integrate sin (x^2)?

Answer 1

\[\int\sin(x^2)\,\mathrm dx\]

Answer 2

let \(u=x^2\)
\(u^{1/2}=x\)
\(\tfrac12u^{-1/2}\,\mathrm du=\mathrm dx\)

Answer 3

hmm, it doesn't really seam to work out nice,

are you sure your question wasn't ∫sin^2(x) dx ?

Answer 4

Yes, I'm sure- that's how the question was framed. Maybe it was a mistake from the examiner's end?

Answer 5

\[=\frac12\int u^{-1/2}\sin(u)\,\mathrm du\]

Answer 6

@sauravshakya