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integral of x arctan(x^2) / (1 + x^4) dx how to integrate x tan^(-1)(x^2) over (1 + x^4) solve ∫ x arctan(x^2) / (1 + x^4) dx integration of x arctan(x^2) divided by (1 + x^4) inverse trig function integration substitution method for x arctan(x^2) / (1 + x^4) u-substitution with u = arctan(x^2) or u = x^2 x arctan(x^2) / (1 + x^4) antiderivative int x arctan(x^2) / (1 + x^4) dx solution rewrite derivative of arctan(x^2) for integration step by step integral x arctan(x^2) / (1 + x^4) integration techniques for inverse trig and rational recognizing derivative pattern: d/dx arctan(x^2) integral leading to (1/4) [arctan(x^2)]^2 + C calculus 2 integral with inverse tangent squared example of substitution u = arctan(x^2) simplify by noticing derivative of arctan(x^2) integration of f'(x) * f(x) type challenging inverse trig integral integral of form g'(x) * F(g(x)) dx substitution and chain rule recognition 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