Final answer to the problem
$\frac{x^{6}}{6}+\frac{x^{5}}{5}+\frac{x^{4}}{4}+\frac{x^{3}}{3}+\frac{1}{2}x^2+x-63\ln\left(x-1\right)+C_0$
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Step-by-step Solution
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1
Find the integral
$\int\frac{x^6-1\cdot 2^6}{x-1}dx$
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$\int\frac{x^6-1\cdot 2^6}{x-1}dx$
Learn how to solve problems step by step online. Find the integral of (x^6-2^6)/(x-1). Find the integral. Simplify the expression inside the integral. Divide x^6-64 by x-1. Resulting polynomial.
Final answer to the problem
$\frac{x^{6}}{6}+\frac{x^{5}}{5}+\frac{x^{4}}{4}+\frac{x^{3}}{3}+\frac{1}{2}x^2+x-63\ln\left(x-1\right)+C_0$