Bài 12. Cho biết \(\int\limits_0^3 {f\left( z \right)dz} = 3,\int\limits_0^4 {f\left( x \right)} dx = 7.\) Hãy tính \(\int\limits_3^4 {f\left( t \right)dt.} \)
Ta có \(\int\limits_3^4 {f\left( t \right)dt = \int\limits_3^0 {f\left( t \right)} } dt + \int\limits_0^4 {f\left( t \right)} dt = - \int\limits_0^3 {f\left( t \right)} dt + \int\limits_0^4 {f\left( t \right)} dt = - 3 + 7 = 4\)
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