Indefinite Integral An antiderivative of cosxis sinxsince d(sinx)dx=cosx. But g(x)=sinx+2is also an antiderivative, since !g(x)=cosx. In general, the set of all antiderivatives of cosxis sinx+Cwhere C is a constant. Definition: The indefinite integral of f,f(x)!, is defined f(x)dx=F(x) where!F(x)=f(x)". The indefinite integral is a function. Ex. 1x2+1dx=!Ex. t4!tt+1tdt="
Note: on-line quiz problems do not include the “C”. In class we