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f(x)=(5x+1)/(10x^2+4x+7)−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

∫((5x+1)10x2+4x+7)dx\int\left(\frac{\left(5x+1\right)}{10x^2+4x+7}\right)dx

Step-by-step Solution

1

Poiché l'integrale che stiamo risolvendo è un integrale indefinito, quando finiamo di integrare dobbiamo aggiungere la costante di integrazione CC

14ln⁡∣10x2+4x+7∣+C0\frac{1}{4}\ln\left|10x^2+4x+7\right|+C_0

Final answer to the exercise

14ln⁡∣10x2+4x+7∣+C0\frac{1}{4}\ln\left|10x^2+4x+7\right|+C_0

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∫((5x+1)10x2+4x+7 )dx
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