Work out trigonometric integral instantly with clear inputs, formula shown and shareable results.
Trigonometric integrals use standard antiderivatives: ∫sin kx dx = −cos(kx)/k and ∫cos kx dx = sin(kx)/k. Squared terms need the double-angle identity sin²θ = (1 − cos 2θ)/2 first.
Basic forms
∫sin kx dx = −cos(kx)/k, ∫cos kx dx = sin(kx)/k
Squared form
∫sin²kx dx = x/2 − sin(2kx)/(4k)
[−cos x] gives −(−1) − (−1) = 2.
There is no elementary antiderivative for the squared form directly; rewriting with cos 2x turns it into two easy terms.