{"result":{"text":"I equals integral fraction numerator d x over denominator open parentheses square root of x close parentheses squared plus open parentheses square root of x close parentheses to the power of 7 end fraction equals integral fraction numerator d x over denominator x to the power of 7 divided by 2 end exponent open parentheses 1 plus x to the power of negative 5 divided by 2 end exponent close parentheses end fraction\nN o w space P u t space space space space x to the power of negative 5 divided by 2 end exponent equals t\nrightwards double arrow fraction numerator negative 5 over denominator 2 x to the power of 7 divided by 2 end exponent end fraction d x equals d t\nI equals fraction numerator negative 2 over denominator 5 end fraction integral fraction numerator d t over denominator 1 plus t end fraction equals negative 2 over 5 ln open vertical bar 1 plus t close vertical bar plus c\nspace space space space space space space space space space space space space space space space space space space space space space space space space space equals 2 over 5 ln open vertical bar fraction numerator 1 over denominator 1 plus t end fraction close vertical bar plus c\nspace space space space space space space space space space space space space space space space space space space space space space space space space space equals 2 over 5 ln open vertical bar fraction numerator x to the power of 5 divided by 2 end exponent over denominator 1 plus x to the power of 5 divided by 2 end exponent end fraction close vertical bar"},"status":"ok"}