Integrals & Trig Identities

Integrals & trig Identities to memorize

∫kdx

kx+c

[1/(n+1)]xⁿ⁺¹+c

∫xⁿdx

∫(1/x)dx

ln|x|+c

∫eⁿdn

eⁿ+c

∫cos(x)dx

sin(x)+c

∫sin(x)dx

-cos(x)+c

∫sec²(x)dx

tan(x)+c

∫sec(x)tan(x)dx

sec(x)+c

∫csc(x)cot(x)dx

-csc(x)+c

∫csc²(x)

-cot(x)+c

∫tan(x)dx

ln|sec(u)|+c

∫sec(x)dx

ln|sec(u)+tan(u)|+c

∫[1/(a²+x²)]dx

(1/a)tan⁻¹(x/a)+c

∫[1/(√a²-x²)]dx

sin⁻¹(x/a)+c

sin(x)/cos(x)

tan(x)

cos(x)/sin(x)

cot(x)

1/csc(x)

sin(x)

1/sec(x)

cos(x)

1/cot(x)

tan(x)

1/sin(x)

csc(x)

1/cos(x)

sec(x)

1/tan(x)

cot(x)

sin²(x)+cos²(x)

1

sec²(x)-tan²(x)

1

csc²(x)-cot²(x)

1