f(x) --> F(x) a --> ax+k x --> (1/2)x^2+k x^n --> (1/(n+1))*x^(n+1)+k 1/x^2 --> -1/x+k 1/x^n --> 1/(-(n-1)x^(n-1))+k 1/sqrt(x) --> 2*sqrt(x)+k exp(x) --> exp(x)+k 1/x --> ln(x)+k cos(x) --> sin(x)+k sin(x) --> -cos(x)+k ln(x) --> xln(x)-x +k u'u^n --> (u^(n+1))/(n+1) +k u'/u^2 --> -1/u +k u'/2sqrt(u) --> sqrt(u) +k u'exp(u) --> exp(u) +k u'/u --> ln([u]) +k u'sin(u) --> -cos(u) +k u'cos(u) --> sin(u) +k