Matematicas 1. Integral indefinida.

Ejercicios a resolver:

Resolverlos.

[pic 2]

Buscar las fórmulas.

∫[pic 3]

Procedimientos y Resultados:

[pic 4]

• ∫2x dx- ∫4x^3 dx- ∫5^x dx
• 2∫x dx - 4∫x^3 dx- ∫5^x dx
• 2(x^2/2+c1) – 4(x^4/4+c2) – 5x/ln5+c3[pic 5]
• X^2 - x^4 – 5^x/ln5 +c

• ∫1/√x dx - ∫3/4^3√x dx + ∫5/x dx -e^x/2 dx

• ∫x^ - 1/2 dx  - ¾ ∫ x^- 3/2 dx + 5∫ x^-1 dx -  1/2∫ e^x dx

• 2√x – 2(3√x) + 5lnx –e^x/2 +c

[pic 6]

∫(x^3dx +∫2xdx +∫1/x dx

∫x^4/4 +x^2 + lnx

X^4/4+x^2+lnx+c

[pic 7]

∫x^2√ x^3dx - ∫2x√x^3dx + ∫4√x^3dx

2x^9/2       4x^7/2          8x^5/2

______  -  _______   +  _______     +c

                                                      9                  7                   5

[pic 8]

∫cos(X)/3 dx - ∫2sin(x)/5dx - ∫(pi)dx

-(pi)x +sin(x)/3 +2cos/5 +c

[pic 9]

[pic 10]sec x dx = ln|sec x + tan x| + C

[pic 11]csc x dx = - ln|csc x + cot x| + C

[pic 12]sec2 x dx = tan x + C  

[pic 13]csc2 x dx = -cot x + C

[pic 14]sec x tan x dx = sec x + C  

[pic 15]csc x cot x dx = -csc x + C

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