Ejercicios de Calculo Integral

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  1. Calcular la integral: ∫  −  −+     3 1 = 38[8 443] = 388 412   ∫  −   =   ∫  −  −+     ∫    −+    3  14 −+  = 38|4    4 17|  18   12   4    3  14 −+  = 38|4    4 17|  116  122  ∁    3  14 −+  = 38|4    4  17|  1162  14   ∁  2. Calcular la integral: ∫  −  −+     2 = 12[ 2  7  3    7  12] = 12[ 2  7    7  12] 32    7  12   ∫  −  −+  =   ∫  −  −+   ∫    −+      2    7  12 = 12|    7  12|  32   72    14      2    7  12 = 12|    7  12|  32. 1212  72 12  72 12  ∁      2   7  12 = 12|    7  12|  32[  4  3] ∁  3.calcular la integral: ∫   +√           17√ +   =    98√    9       17√ +   =     9√    9 8 √   9      17√ +   =     9 8 √    9      17√ +   = 12    9 25      9  4.calcular la siguiente integral: ∫ ++    2 32 1 = 2 122 1    2 32 1 =  2 2 1   : = 2 1    = 2   2  32  1 =     2 32 1 =  || ∁   2 32 1 =  |2 1| ∁  5.calcular la integral: ∫√     : =      =    √   = 1√     √   = 1      √   = 1   32 ∁   √   = 23    ∁  6.calcular la integral: ∫ 1     ℎ  ∶  =  1    =     1   =       1   =   4 ∁    1   =  1  4  ∁  7:calcular la siguiente integral: ∫  −√ −  −   ℎ  ∶   12 4   5 = 128    8 3√12 4   5 = 128 9√12 4   5    8 3√12 4   5 =  12 8√12  4   59 √12 4    5    8 3√12 4   5 = 2 12  4   592  1 32     8 3√12  4   5 = 2 12  4   5922 32 ∁  8.calcular la siguiente integral: ∫  8        ℎ :    = 8  ……1   2 = 3      23   =      8      =          8      =     23      8      = 23    ……..1    =    8     8      = 23   8       8      = 23   8       8      = 23[   8  ]     8      = 23  7 8  5      8      = 2  21 1615   ∁     8      = 2218     16158     ∁  9.calcular: ∫ √ +  −√ −  √ −        ó:   √ 2   √2  √ 4    = √ 2    √2   2  2   = √ 2   √2  √ 2   √2    √ 2   √ 2   √2    √2  √ 2   √2   = 1√2    1√ 2    :  
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