Formulario DE MATEMÁTICAS

UNIVERSITARIO INSUCO

 sin + = sin cos + cos sin

 cos + = cos cos − sin sin 2

 sin2 = 1−cos(2) 45º 1
1
2

 cos2() = 1+cos(2)

2

 sin − = −sin()

 cos − = cos()

 tan − = −tan()

 sin 2 = 2 sin cos()

 cos 2 = cos2 − sin2()
 sin2 + cos2 = 1

 1 + tan2 = sec2() 2 30º
 1 + cot2 = csc2() 3

 sin − = cos() 60º
1
2

 cos − = sin()

2

 + () = ′ +



 () = ′()



 () = ′ + ′()



 ()/() = ′ − ′()
2

 = −1



 sin() = cos ′



 cos = − sin ′



 tan() = sec2 ′



 cot() = − csc2 ′



 sec() = sec tan ′



 csc() = − csc cot ′



 = ′



 = ln ′



 ln() = ′



log() = log ′





 + () ⅆ = ⅆ + ⅆ

 = ⅆ
 ⅆ = +1 + , ≠ −1

+1

 sin() ⅆ = − cos +

 cos() ⅆ = sin() +
 sec2() ⅆ = tan() +
 csc2() ⅆ = − cot() +

 sec() tan() ⅆ = sec() +

 csc() cot() ⅆ = −csc() +

 tan() ⅆ = −ln |cos()| +

 cot() ⅆ = ln |sin()| +
 sec() ⅆ = ln | sec + tan()| +

 csc() ⅆ = ln | csc − cot()| +
 ⅆ = +
 ⅆ = +

ln

 ⅆ = − ⅆ + c
 ln ⅆ = ln − +

 sinh ⅆ = cosh +

 cosh ⅆ = sinh +

 tanh ⅆ = ln |cosh()| +

 coth ⅆ = ln |sinh()| +
 sech ⅆ = 2tan−1 eu + c

 csch ⅆ = ln tanh +c
2

 sech2 ⅆ = tanh +

 csch2 ⅆ = − coth +

 sech tanh ⅆ = − sech +

 csch coth ⅆ = − csch +

 ln ⅆ = ln − +

 ln = 2 ln − 2 +

24

 ln ⅆ = +1 ln − +1 +
+1 2
+1

 ⅆ = − 2 +

 2ⅆ = 2 − 2 + 2 +

 3ⅆ = 3 − 32 + 6 − 6 +

 ⅆ = u − +
2

 2ⅆ = 2 − 2 +2 +
2 3

 = sin−1 +
2−2

 = 1 tan−1 +
2+2

 = 1 sec−1 +
2−2

 cos ⅆ = cos + sin +

 sin ⅆ = sin − cos +

 cos =

2+2 cos + sin +c