Calculus Friends and trig functions

d/dx ln(x)

1/x

d/dx logₙ(x)

1/((ln(n))*x)

∫ 1/x dx

ln |x| +c

d/dx e^x

e^x

∫ e^x dx

e^x +c

d/dx b^x

b^x* ln(b)

∫b^x dx

1/(ln(b)) * b^x + c

d/dx sin^-1(x)

1/√(a^2-x^2) dx

d/dx cos^-1(x)

-1/√(a^2-x^2) dx

d/dx tan^-1(x)

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

d/dx cot^-1(x)

-a/(a^2+x^2)

∫1/√(a^2-x^2)dx

sin^-1(x/a) + c

∫-1/√(a^2-x^2)dx

cos^-1(x/a) + c

∫a/(a^2+x^2)dx

1/a (tan^-1(x/a)) + C

d/dx sin(x)

cos(x)

d/dx cos(x)

-sin(x)

d/dx tan(x)

sec^2(x)

d/dx csc(x)

-csc(x)cot(x)

d/dx sec(x)

sec(x)tan(x)

d/dx cot(x)

-csc^2(x)

∫sin(x)

-cos(x) + c

∫cos(x)

sin(x) + c

∫sec^2(x)

tan(x) + c

∫csc^2(x)

-cot(x) + c

∫sec(x)tan(x)

sec(x) + c

∫cot(x)csc(x)

-csc(x) + c