Cho biết \(\lint \limits_0^3 f\left( z \right)dz = 3,\int \limits_0^4 f\left( x \right)dx = 7.\). Hãy tính \(\int \limits_3^4 f\left( t \right)dt.\)
Ta có:
\(\begin{array}{l}
\int\limits_3^4 f \left( t \right)dt = \int\limits_3^0 f \left( t \right)dt + \int\limits_0^4 f \left( t \right)dt\\
= - \int\limits_0^3 f \left( t \right)dt + \int\limits_0^4 f \left( t \right)dt\\
= - 3 + 7 = 4
\end{array}\)
-- Mod Toán 12
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