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

Exercise

∫x2+5x+66x2−7x−3dx\int\frac{x^2+5x+6}{6x^2-7x-3}dx

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Final answer to the exercise

16x+727792ln⁡∣12(x−712)11−1∣−727792ln⁡∣12(x−712)11+1∣+3772ln⁡∣(x−712)2−121144∣+C0\frac{1}{6}x+\frac{727}{792}\ln\left|\frac{12\left(x-\frac{7}{12}\right)}{11}-1\right|-\frac{727}{792}\ln\left|\frac{12\left(x-\frac{7}{12}\right)}{11}+1\right|+\frac{37}{72}\ln\left|\left(x-\frac{7}{12}\right)^2-\frac{121}{144}\right|+C_0

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0.005−0.00070.005-0.0007
∫x2+5x+66x2−7x−3 dx
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