integral from 1 to 5 of (z^2+4)/z

الحلّ

\int_{1}^{5} \frac{z ^{2} + 4}{z} d z

12 + 4 ln (5)

خطوات الحلّ

\int_{1}^{5} \frac{z ^{2} + 4}{z} d z

\frac{z ^{2} + 4}{z}

وسٌع:

z + \frac{4}{z}

= \int_{1}^{5} z + \frac{4}{z} d z

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

:فعّل الميزة الخطيّة

= \int_{1}^{5} z d z + \int_{1}^{5} \frac{4}{z} d z

\int_{1}^{5} z d z = 12

\int_{1}^{5} \frac{4}{z} d z = 4 ln (5)

= 12 + 4 ln (5)

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