Calc Formulas

∫1/x dx

ln |x| + C

∫e^x dx

e^x + C

∫a^x dx

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

∫sin(x) dx

-cos(x) + C

∫cos(x) dx

sin(x) + C

∫tan(x) dx

-ln|cos(x)| + C

∫sec²(x) dx

tan(x) + C

∫u’/(a²+u²) du

(1/a)(arctan[u/a]) + C

∫u’/sqrt(a²-u²) du

arcsin(u/a) + C

∫cot(x) dx

ln|sin(x)| + C

∫sec(x)tan(x) dx

sec(x) + C

∫csc²x dx

-cot(x) + C

∫csc(x)cot(x) dx

-csc(x) + C

∫1/(|u|sqrt(u²-1)) du

sec^-1(u) + C

cos²(x)

½(1+cos(2x))

sin²(x)

½(1-cos(2x))

cos²(x) + sin²(x) = 1

sec²(x) - tan²(x) = 1

csc²(x) - cot²(x) = 1

a²-x²

x=asin(0)

dx=acos(0)d0

a²+x²

x=atan(0)

dx=asec²(0)d0

x²-a²

x=asec(0)

dx=asec(0)tan(0)d0

∫sec(x) dx

ln|sec(x) + tan(x)| + C

L = ∫_a^bsqrt(1 + (f’(x))²)