Learn how to solve discriminant of quadratic equation problems step by step online.
$3\int\frac{x^3}{x^3+8}dx$
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Learn how to solve discriminant of quadratic equation problems step by step online. Find the integral int((3x^3)/(x^3+8))dx. Take out the constant 3 from the integral. Divide x^3 by x^3+8. Resulting polynomial. Expand the integral \int\left(1+\frac{-8}{x^3+8}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.
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Quadratic equations are those algebraic equations of the form ax^2+bx+c, where a, b, and c are constant values. The discriminant of a quadratic equation is calculated using the formula D=b^2-4ac, and it helps us to determine how many roots an equation of this type has. When D>0 the equation has two real roots, when D<0 the equation has no real roots, and when D=0 the equation has a repeated real root.