======T25====== [[http://math.feld.cvut.cz/mt/txtd/3/txc3db3i.htm|Rozkladem]] na parciální zlomky [[http://math.feld.cvut.cz/mt/txtd/3/txc3db3d.htm|najděte]] primitivní funkce: =====315.===== \( \int \frac{dx}{ (x − 1)(x + 3) } \) [[wa>integrate 1 /((x - 1)(x + 3)) dx ]] rozložit na \( \frac{1}{4(x - 1)} - \frac{1}{4(x +3)} \) [[stepbystep#T315]] =====316.===== \( \int \frac{ dx}{ x^2 + x - 2 } \) [[wa>integrate 1 /( x^2 + x - 2 ) dx ]] =====317.===== \( \int \frac{ x dx }{ (x + 2)(x + 3) } \) [[wa>integrate x /( (x + 2)(x + 3) ) dx]] =====318.===== \( \int \frac{2x + 3}{ (x − 2)(x + 5) } \,dx \) [[wa>integrate(2x + 3)/((x - 2)(x + 5)) ]] =====319.===== \( \int \frac{dx}{x^4 - 1} \) [[wa>integrate 1/(x^4 - 1) dx ]] =====320.===== DELETEME \( \int \frac{ x dx }{ x^3 − 3x + 2} \) [[wa>integrate x / (x^3 - 3x + 2) dx ]] =====321.===== DELETEME \( \int \frac{ dx }{ (x + 1)(x^2 + 1) } \) [[wa>integrate 1 / ( (x + 1)(x^2 + 1) ) ]] =====322.===== DELETEME \( \int \frac{dx}{x^3 + 1} \) [[wa>integrate 1/(x^3 + 1) dx ]] =====323.===== DELETEME \( \int \frac{ x dx }{ x^3 − 1} \,dx \) [[wa>intergrate x / (x^3 - 1) dx ]] =====324.===== DELETEME \( \int \frac{x \,dx}{2x^2 - 3x - 2} \) [[wa>integrate x / (2x^2 - 3x - 2) dx ]]