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

Exercise

∫6(x55x+5x+5)dx\int6\left(x^55^x+5x+5\right)dx

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Final answer to the exercise

6⋅5x⋅x5ln⁡∣5∣+−30⋅5xx4ln⁡∣5∣2+120⋅5xx3ln⁡∣5∣3+−360⋅5xx2ln⁡∣5∣4+720⋅5x⋅xln⁡∣5∣5+−720⋅5xln⁡∣5∣6+15x2+30x+C0\frac{6\cdot 5^x\cdot x^5}{\ln\left|5\right|}+\frac{-30\cdot 5^xx^{4}}{\ln\left|5\right|^2}+\frac{120\cdot 5^xx^{3}}{\ln\left|5\right|^{3}}+\frac{-360\cdot 5^xx^{2}}{\ln\left|5\right|^{4}}+\frac{720\cdot 5^x\cdot x}{\ln\left|5\right|^{5}}+\frac{-720\cdot 5^x}{\ln\left|5\right|^{6}}+15x^2+30x+C_0

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∫6(x55x+5x+5)dx
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