Calc Derivatives + Anti Derivatives Review

d/dx xⁿ

nx^n-1

d/dx ln|x|

1 / x

d/dx e^x

e^x

d/dx a^x

a^xln(a)

d/dx sin(x)

cos(x)

d/dx cos(x)

-sin(x)

d/dx tan(x)

sec²(x)

d/dx cot(x)

-csc²(x)

d/dx sec(x)

sec(x) tan(x)

d/dx csc(x)

-csc(x) cot(x)

d/dx sin^-1(x)

1 / sqrt 1 - x²

d/dx tan^-1(x)

1 / 1 + x²

∫ xⁿ dx

(xⁿ⁺¹ / n+1) + c

∫ 1/x dx

ln|x| + c

∫ e^x dx

e^x + c

∫ a^x dx

(a^x / ln(a)) + c

∫ cos(x) dx

sin(x) + c

∫ sin(x) dx

-cos(x) + c

∫ sec²(x) dx

tan(x) + c

∫ csc²(x) dx

-cot(x) + c

∫ sec(x) tan(x) dx

sec(x) + c

∫ csc(x) cot(x) dx

-csc(x) + c

∫ 1 / (swrt 1 - x²) dx

sin^-1(x) + c

∫ xⁿ dx

tan^-1(x) + c