Unit 6 to remember

antiderivative power rule

x^(n+1)/(n+1) + C

antiderivative rule constant rule

kx + c

antiderivative of cos(x) dx

sin(x) + c

antiderivative of sin(x)dx

-cos(x) + c

antiderivative of sec^2(x) dx

tan(x) + c

∫e∧x dx

e^x + c

∫a∧x dx

ax/ln a + c

∫1/x dx

ln|x| + C

∫e^ax dx

e^ax / a + c

∫sin(ax) dx

sin(ax)/a + c

fundamental theorem of calculus

A = ∫ a → b f(x) dx = F(b) - F(a)

area between curves

∫ a→b f(x) - g(x) dx