Integration - Basic Rules of Definite Integral

Integration - Basic Rules of Definite Integral

Find \(\displaystyle\displaystyle \displaystyle\int_{-4}^{2} \mathrm{f}(x) \, \mathrm{d}x - \displaystyle\displaystyle \displaystyle\int_{5}^{2} [\mathrm{f}(x) + 2x] \, \mathrm{d}x\), given that \(\displaystyle\displaystyle \displaystyle\int_{-4}^{5} \mathrm{f}(x) \, \mathrm{d}x = 4\).

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Answer:\(25\)

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