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TABLA DE INTEGRALES

Potencia de x .

xⁿ dx = x⁽ⁿ⁺¹⁾ / (n+1) + C (n -1)

1/x dx dx = ln|x| + C

Exponente / Logaritmo

e^x dx = e^x + C	b^x dx = b^x / ln(b) + C
ln(x) dx = x ln(x) - x + C

Trigonométrica

sen x dx = -cos x + C	cos x dx = sen x + C	tan x dx = -ln\|cos x\| + C
csc x dx = - ln\|csc x + cot x\| + C	sec x dx = ln\|sec x + tan x\| + C	cot x dx = ln\|sen x\| + C

Resuelta Trigonométrica

cos x dx = sen x + C	sen x dx = -cos x + C	sec²x dx = tan x + C
csc x cot x dx = -csc x + C	sec x tan x dx = sec x + C	csc²x dx = -cot x + C

Trigonométrica Inversa

arcsen x dx =

(1-x²)

+ C

arccsc x dx =

-1

|x|

(x²-1)

+ C

arccos x dx =

-1

(1-x²)

+ C

arcsec x dx =

|x|

(x²-1)

+ C

arctan x dx =

1+x²

+ C

arccot x dx =

-1

1+x²

+ C

Hyperbólica

senh x dx = cosh x + C	cosh x dx = senh x + C	tanh x dx = ln( cosh x ) + C
csch x dx = ln( tanh(x/2) ) + C	sech x dx = atan( senh x ) + C	coth(x) dx = ln( senh x ) + C