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If it is given. \[ \int_{-\infty}^\infty\frac{x^2}{x^6 - 2x^5 - 2x^4 + 4x^3 + 3x^2 - 4x + 1} \. dx=\pi, \]. then the value of. \[ \int_0^{\infty} \frac{x^8 - 4x^6 + 9x^4 - 5x^2 +. Askiitians helps the students for solving their problems related to Indefinite Integral, Definite Integral, Area under curves, Differential Equations. Introduction, problem of brachistochrone, problem of geodesics, lemma of the calculus of variations, examples, Functionals in the form of integrals, special.