Final answer to the problem
$\frac{4}{3}x^{3}-\frac{3}{2}x^2+2x+\frac{7}{2\sqrt{5}}\ln\left(x-\sqrt{5}\right)-\frac{7}{2\sqrt{5}}\ln\left(x+\sqrt{5}\right)+C_0$
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Step-by-step Solution
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1
Find the integral
$\int\frac{4x^4+1\cdot -3x^3-18x^2+15x-3}{x^2-5}dx$
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$\int\frac{4x^4+1\cdot -3x^3-18x^2+15x-3}{x^2-5}dx$
Learn how to solve problems step by step online. Integrate the function (4x^4+1*-3x^3-18x^215x+-3)/(x^2-5). Find the integral. Simplifying. Divide 4x^4-3x^3-18x^2+15x-3 by x^2-5. Resulting polynomial.
Final answer to the problem
$\frac{4}{3}x^{3}-\frac{3}{2}x^2+2x+\frac{7}{2\sqrt{5}}\ln\left(x-\sqrt{5}\right)-\frac{7}{2\sqrt{5}}\ln\left(x+\sqrt{5}\right)+C_0$