Given that \(\displaystyle\displaystyle \displaystyle\int_{4}^{10} \mathrm{f}(x) \, \mathrm{d}x

Question

Given that $\displaystyle\displaystyle \displaystyle\int_{4}^{10} \mathrm{f}(x) \, \mathrm{d}x = 5$, find $\displaystyle\displaystyle \displaystyle\int_{4}^{10} 6\mathrm{f}(x) \, \mathrm{d}x$ $\displaystyle\displaystyle \displaystyle\int_{10}^{4}{\left[ \mathrm{f}\left( x \right)+\frac{1}{x} \right]\,\mathrm{d}x}$

Accepted Answer

(a) $30$ (b) $-5+\ln\frac25$

Integration - Understanding Results of Definite Integrals

Integration - Understanding Results of Definite Integrals

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