common integrals and derivatives

d/dx (x^n+1)/(n+1)

integral x^n dx

d/dx e^x

integral e^x dx

d/dx sin(x)

integral cos(x) dx

d/dx cos(x)

integral -sin(x) dx

d/dx tan(x)

integral sec^2(x) dx

d/dx sec(x)

integral tan(x)sec(x) dx

d/dx ln| sec(x) + tan(x) |

integral sec(x) dx

d/dx ln|sec(x)|

integral tan(x) dx

d/dx (1/a) arctan(x/a)

integral 1/(x^2 + a^2) dx

d/dx ln(x)

integral 1/x dx

d/dx a^x/ln(a)

integral a^x dx

d/dx cot(x)

integral -csc^2(x) dx

d/dx csc(x)

integral csc(x)cot(x) dx

d/dx ln|csc(x) - cot(x)|

integral csc(x) dx

d/dx ln|sin(x)|

integral cot(x) dx

d/dx arcsin(x/a)

integral 1/sqrt(a^2-x^2) dx