x 2 1 x 4 x 2 1 integral Solve definite and indefinite integrals antiderivatives using this free online calculator Step by step solution and graphs included
Explanation x2 1 x4 x2 1 dx 1 1 x2 x2 1 1 x2 dx 1 1 x2 dx x 1 x 2 1 After using y x 1 x and dy 1 1 x2 dx transforms this integral became dy y2 1 1 2 2dy y 1 y 1 1 2 The integral calculator allows you to enter your problem and complete the integration to see the result You can also get a better visual and understanding of the function and area under the
x 2 1 x 4 x 2 1 integral
x 2 1 x 4 x 2 1 integral
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Dx X 2 1 Integral 5 variant Amuda Kald rma Y ntemi YouTube
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Let I x 2 1 x 4 dx x 2 A 1 x x 2 1 B 1 x x 2 1 c x 1 1 x 1 Answer 1 vote answered Mar 16 2020 by Prerna01 51 0k points selected Mar 16 2020 by RahulYadav Best answer The equation can be written as On using
Calculator integrates functions using various methods common integrals substitution integration by parts partial fraction decomposition trigonometric hyperbolic logarithmic identities and formulas properties of radicals Euler F x is the antiderivative indefinite integral of f x For example let s find the area below the curve f x x 2 and above the x axis between x 1 and
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The indefinite integral is a rational fraction and is typically solved using partial fractions decomposition You first factor the denominator x4 1 which has four complex roots the Answer link We have that int x 4 1 x 2 1 dx int x 2 1 x 2 1 x 2 1 dx int x 2 1 dx x 3 3 x c
Divide numerator and denominator by x 2 numerator will become 1 frac1 x 2 Denominator will become x frac1x sqrt x 2 frac1 x 2 But the part x 4 x 2 1 x 2 1 1 x 2 1 So int x 4dx x 2 1 int x 2 1 dx color red intdx x 2 1 x 3 3 x color red intdx x 2 1 The integral in red is
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x 2 1 x 4 x 2 1 integral - Calculator integrates functions using various methods common integrals substitution integration by parts partial fraction decomposition trigonometric hyperbolic logarithmic identities and formulas properties of radicals Euler