∫ a b sin x d x = f ( b ) g ( b ) − f ( a ) g ( a ) {\displaystyle \int _{a}^{b}\sin xdx=f(b)g(b)-f(a)g(a)} - ∫ a b f ′ ( x ) g ( x ) d x {\displaystyle \int _{a}^{b}f'(x)g(x)dx} f(b)g(b)-f(a)g(a) c o s x {\displaystyle cosx} /sin a sin a {\displaystyle \sin a} L= sin x {\displaystyle \sin x} dx sin 2 x {\displaystyle \sin ^{2}x} f = f ( x ) {\displaystyle f=f(x)}