Differentiation
Integration
d(xn)/dx = nxn-1
∫xndx = xn+1/(n + 1) + C, n ≠ -1
d(K)/dx = 0
∫K dx = Kx + C
d(ex)/dx = ex
∫exdx = ex+ C
d(ax)/dx = axlog a
∫axdx = ax/log a + C
d(ln x)/dx = 1/x
∫(1/x) dx = ln x + C
d(logax)/dx = 1/(x ln a)
∫logax dx = x logax - x/ln a
Differentiation
Integration
d(sin x)/dx = cos x
∫sin x dx = -cos x + C
d(cos x)/dx = -sin x
∫cos x dx = sin x + C
d(tan x)/dx = sec2x
∫tan x dx = (1/a) ln |sec x| + C
d(cot x)/dx = -cosec2x
∫cot x dx = (1/a) ln |sin x| + C
d(sec x)/dx = sec x tan x
∫sec x dx = (1/a) ln |sec x + tan x| + C
d(cosec x)/dx = -cosec x cot x
∫cosec x dx = (1/a) ln |cosec x - cot x| + C
