22.29 Problem number 5264

$$\int \frac{-1000x^2-600x^3-620x^4-308x^5-60x^6-4x^7+(40x-1192x^2-660x^3-1124x^4-608x^5-120x^6-8x^7+(20x-96x^2-30x^3-2x^4)\log (2))\log (5)+(8x-200x^2-60x^3-504x^4-300x^5-60x^6-4x^7+(8x-100x^2-30x^3-2x^4)\log (2)+2x{\log }^2(2)){\log }^2(5)+((-80-16x-40x^2-8x^3+(-40-8x-20x^2-4x^3)\log (2))\log (5)+(-16-40x^2-8x^3+(-16-20x^2-4x^3)\log (2)-4{\log }^2(2)){\log }^2(5))\log (x)+(600x^2+240x^3+324x^4+120x^5+12x^6+(-8x+680x^2+252x^3+624x^4+240x^5+24x^6+(-4x+40x^2+6x^3)\log (2))\log (5)+(80x^2+12x^3+300x^4+120x^5+12x^6+(40x^2+6x^3)\log (2)){\log }^2(5)){\log }^2(x)+((16+8x^2+(8+4x^2)\log (2))\log (5)+(8x^2+4x^2\log (2)){\log }^2(5)){\log }^3(x)+(-120x^2-24x^3-60x^4-12x^5+(-128x^2-24x^3-120x^4-24x^5-4x^2\log (2))\log (5)+(-8x^2-60x^4-12x^5-4x^2\log (2)){\log }^2(5)){\log }^4(x)+(8x^2+4x^4+(8x^2+8x^4)\log (5)+4x^4{\log }^2(5)){\log }^6(x)}{-125x-75x^2-15x^3-x^4+(75x+30x^2+3x^3){\log }^2(x)+(-15x-3x^2){\log }^4(x)+x{\log }^6(x)}dx$$

Optimal antiderivative $${(\ln \left(5\right)(x^2+\frac{\ln \left(2\right)+2}{5+x-\ln {\left(x\right)}^2})+x^2+2)}^2$$

command

Integrate[(-1000*x^2 - 600*x^3 - 620*x^4 - 308*x^5 - 60*x^6 - 4*x^7 + (40*x - 1192*x^2 - 660*x^3 - 1124*x^4 - 608*x^5 - 120*x^6 - 8*x^7 + (20*x - 96*x^2 - 30*x^3 - 2*x^4)*Log[2])*Log[5] + (8*x - 200*x^2 - 60*x^3 - 504*x^4 - 300*x^5 - 60*x^6 - 4*x^7 + (8*x - 100*x^2 - 30*x^3 - 2*x^4)*Log[2] + 2*x*Log[2]^2)*Log[5]^2 + ((-80 - 16*x - 40*x^2 - 8*x^3 + (-40 - 8*x - 20*x^2 - 4*x^3)*Log[2])*Log[5] + (-16 - 40*x^2 - 8*x^3 + (-16 - 20*x^2 - 4*x^3)*Log[2] - 4*Log[2]^2)*Log[5]^2)*Log[x] + (600*x^2 + 240*x^3 + 324*x^4 + 120*x^5 + 12*x^6 + (-8*x + 680*x^2 + 252*x^3 + 624*x^4 + 240*x^5 + 24*x^6 + (-4*x + 40*x^2 + 6*x^3)*Log[2])*Log[5] + (80*x^2 + 12*x^3 + 300*x^4 + 120*x^5 + 12*x^6 + (40*x^2 + 6*x^3)*Log[2])*Log[5]^2)*Log[x]^2 + ((16 + 8*x^2 + (8 + 4*x^2)*Log[2])*Log[5] + (8*x^2 + 4*x^2*Log[2])*Log[5]^2)*Log[x]^3 + (-120*x^2 - 24*x^3 - 60*x^4 - 12*x^5 + (-128*x^2 - 24*x^3 - 120*x^4 - 24*x^5 - 4*x^2*Log[2])*Log[5] + (-8*x^2 - 60*x^4 - 12*x^5 - 4*x^2*Log[2])*Log[5]^2)*Log[x]^4 + (8*x^2 + 4*x^4 + (8*x^2 + 8*x^4)*Log[5] + 4*x^4*Log[5]^2)*Log[x]^6)/(-125*x - 75*x^2 - 15*x^3 - x^4 + (75*x + 30*x^2 + 3*x^3)*Log[x]^2 + (-15*x - 3*x^2)*Log[x]^4 + x*Log[x]^6),x]

Mathematica 13.1 output

$$\text{\$Aborted}$$

Mathematica 12.3 output

$$4x^2(1+\log (5))+x^4(1+\log (5){)}^2+\frac{x^2({\log }^2(2){\log }^2(5)+5\log (4)\log (5)(9+10\log (5))+{\log }^2(25)+\log (2)\log (5)(-90-98\log (5)+\log (25)))+x^4(1+\log (5))(\log (8)\log (3125)-\log (5)\log (32768))-10\log (5)(\log (5)\log (16)+{\log }^2(2)\log (25)+\log (4)\log (25)+\log (390625))-2x\log (5)(\log (5)\log (16)+{\log }^2(2)\log (25)+\log (4)\log (25)+\log (390625))+x^3(-100{\log }^2(5)+\log (625)\log (298023223876953125))}{(-20-4x+x^2){(5+x-{\log }^2(x))}^2}+\frac{-8000\log (5)(8+\log (16))-4800x\log (5)(8+\log (16))-160x^2\log (5)(188+200\log (5)+5\log (4)(9+10\log (5))+\log (16))-4x^3\log (5)(3968+3000\log (2)-430\log (4)-39\log (16)+4000\log (25)+300\log (5)(16+\log (256))-2000\log (625))+x^6({\log }^2(5)(-524+390\log (2)-39\log (4)-112\log (8))+360\log (25)+\log (5)(-516+392\log (2)-38\log (4)-112\log (8)+360\log (25)-61\log (625))-61\log (625))+x^8(1+\log (5))(\log (4)\log (5)+\log (625))+4x^5(2{\log }^2(5)(-312+40\log (2)+167\log (4)-90\log (8))-60\log (25)+290\log (625)+\log (5)(-648+76\log (2)+332\log (4)-180\log (8)-\log (16)-60\log (25)+290\log (625)))+x^4(-20{\log }^2(5)(-28+390\log (2)-267\log (4)+40\log (8))+(-12400+\log (16))\log (25)+6300\log (625)+\log (5)(464-7920\log (2)+5372\log (4)-800\log (8)-12400\log (25)+6300\log (625)))-2x^7(1+\log (5))(15\log (25)+8\log (625)+\log (5)(-38+\log (4096)))}{{(-20-4x+x^2)}^3(5+x-{\log }^2(x))}$$