1.∫4x5−7x4+8x3−2x2+4x−7x2(x2+1)2 dx\int \frac{4x^5-7x^4+8x^3-2x^2+4x-7}{x^2(x^2+1)^2} \, dx∫x2(x2+1)24x5−7x4+8x3−2x2+4x−7dxa.4ln∣x∣−7x−6tan−1x−6x1+x2+C4\ln|x|-\frac{7}{x}-6\tan^{-1}x-\frac{6x}{1+x^2}+C4ln∣x∣−x7−6tan−1x−1+x26x+Cb.2ln∣x∣+1x+6tan−1(x2)+6x1+x2+C2\ln|x|+\frac{1}{x}+6\tan^{-1}(x^2)+\frac{6x}{1+x^2}+C2ln∣x∣+x1+6tan−1(x2)+1+x26x+Cc.ln∣x∣+tan−1x+1x+x1+x2+C\ln|x|+\tan^{-1}x+\frac{1}{x}+\frac{x}{1+x^2}+Cln∣x∣+tan−1x+x1+1+x2x+Cd.4ln∣x∣+7x+6tan−1x+6x1+x2+C4\ln|x|+\frac{7}{x}+6\tan^{-1}x+\frac{6x}{1+x^2}+C4ln∣x∣+x7+6tan−1x+1+x26x+CLogin to continueOnly logged in users canattempt or see the solution.