Lista de Exercicios - Calculo de Integrais Definidas e Areas

1 Calcule as seguintes integrais definidas a from 1 to 2 5 dx b from 0 to 5 3x 2 dx c from 2 to 5 2 2t 3t2 dt d from 1 to 1 2u3 u3 du e from 0 to 1 ex 4 ex dx f from 1 to 3 1 1x 1x2 dx g from 3 to 1 t 1t3 dt h from 1 to 2 2x 44 dx i from 0 to 4 16t 1 dt j from 0 to 1 x3 xx4 2x2 1 dx k from 2 to e1 xx1 dx l from 1 to e2 ln x2x dx m from 1 to e t e1x2 dx n from 1 to 4 xx 5 dx o from 0 to 1 xe2x dx p from 1 to e2 x ln x dx q from 12 to 1 t ln2t dt 2 Determine a área da região situada sob o gráfico da curva y fx no intervalo indicado a y x4 no intervalo 1 x 2 b y e2x no intervalo 0 x ln3 c y 3x 412 no intervalo 0 x 4 Gabarito 1 a 15 b 952 c 144 d 65 e 3 4e f 83 ln 3 g 29 h 165 i 43 j 76 k e l 83 m e3 e2 n 83 o 14 1 3e2 p 112 3e4 1 q 116 e2 1 2 a 335 b 4 c 1129