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

Exercise

∫3x2x2−5dx\int3x^2\sqrt{x^2-5}dx

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Final answer to the exercise

2258ln⁡∣x+x2−5∣+458xx2−5+75x2−5x345(5)3−752ln⁡∣x+x2−55∣−152x2−5x+C1\frac{225}{8}\ln\left|x+\sqrt{x^2-5}\right|+\frac{45}{8}x\sqrt{x^2-5}+\frac{75\sqrt{x^2-5}x^3}{4\sqrt{5}\sqrt{\left(5\right)^{3}}}-\frac{75}{2}\ln\left|\frac{x+\sqrt{x^2-5}}{\sqrt{5}}\right|-\frac{15}{2}\sqrt{x^2-5}x+C_1

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∫3x2√x2−5dx
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