Given that \(\displaystyle\displaystyle \displaystyle\int_{-2}^{5} \mathrm{f}(x) \, \mathrm{d}x

Question

Given that $\displaystyle\displaystyle \displaystyle\int_{-2}^{5} \mathrm{f}(x) \, \mathrm{d}x = 14$, find $\displaystyle\displaystyle \displaystyle\int_{-2}^{5} 3\mathrm{f}(x) \, \mathrm{d}x$ $\displaystyle\displaystyle \displaystyle\int_{5}^{-2} [\mathrm{f}(x) - 3x] \, \mathrm{d}x$

Accepted Answer

(a) $42$ (b) $\frac{35}{2}$

Integration - Basic Rules of Definite Integral

Integration - Basic Rules of Definite Integral

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