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integral of 1/(sqrt(x) - cube root of x) dx how to integrate 1 over (sqrt(x) - x^(1/3)) integration of dx/(sqrt(x) - cube root x) solve ∫ dx/(sqrt(x) - x^(1/3)) substitution method for rationalizing radicals integral with different root types in denominator 1/(sqrt(x) - cube root x) antiderivative int dx/(sqrt(x) - x^(1/3)) solution integration using substitution u = x^(1/6) lowest common multiple of roots substitution rationalizing substitution for root difference integral of 1/(x^(1/2) - x^(1/3)) step by step integral with multiple roots integration techniques for radical expressions rewrite with u = x^(1/6) substitution integral leading to polynomial in u after substitution calculus 2 integral with algebraic substitution example of u-substitution with fractional powers integration of 1/(sqrt(x) - nth root of x) type challenging integral with different radicals Integration by parts • Integration by parts Trigonometric Integrals • Trigonometric Integrals Integration by substitution • Integration by substitution integral exponential functions • THE INTEGRATION OF EXPONENTIAL FUNCTIONS definite integrals • definite integrals integration by partial fractions • integration by partial fractions Double Integration Examples and Solutions • double integration method Triple Integration Examples and Solutions • Triple Integration Music: Local Elevator by Kevin MacLeod Free music licensed under Creative Commons: Attribution 4.0 License https://creativecommons.org/licenses/... Source: https://incompetech.com