Rozkladem na parciální zlomky najděte primitivní funkce:

\( \int \frac{dx}{ (x − 1)(x + 3) } \) integrate 1 /((x - 1)(x + 3)) dx rozložit na \( \frac{1}{4(x - 1)} - \frac{1}{4(x +3)} \) T315

\( \int \frac{ dx}{ x^2 + x - 2 } \) integrate 1 /( x^2 + x - 2 ) dx

\( \int \frac{ x dx }{ (x + 2)(x + 3) } \) integrate x /( (x + 2)(x + 3) ) dx

\( \int \frac{2x + 3}{ (x − 2)(x + 5) } \,dx \) integrate(2x + 3)/((x - 2)(x + 5))

\( \int \frac{dx}{x^4 - 1} \) integrate 1/(x^4 - 1) dx

\( \int \frac{ x dx }{ x^3 − 3x + 2} \) integrate x / (x^3 - 3x + 2) dx

\( \int \frac{ dx }{ (x + 1)(x^2 + 1) } \) integrate 1 / ( (x + 1)(x^2 + 1) )

\( \int \frac{dx}{x^3 + 1} \) integrate 1/(x^3 + 1) dx

\( \int \frac{ x dx }{ x^3 − 1} \,dx \) intergrate x / (x^3 - 1) dx

\( \int \frac{x \,dx}{2x^2 - 3x - 2} \) integrate x / (2x^2 - 3x - 2) dx