Purpose – The Balanced Field Length (BFL) is the take-off distance at which the accelerate-go and accelerate-stop distances are equal after an engine failure. It is normally found by numerical step-wise integration with an iterative search for the decision speed V1. This work calculates the BFL analytically with a closed-form solution that removes both the numerical integration and the iteration. The study is focused on jet aircraft with two and four engines. --- Methodology – The take-off is described by the equation of motion of an accelerating aircraft, with aerodynamic drag proportional to the square of the speed and thrust modelled as a second-order polynomial in speed. This equation is integrated analytically instead of numerically. The BFL and the decision speed, V1 are then obtained algebraically, from the intersection of the accelerate-go line and the accelerate-stop line, instead of by iteration. The method is implemented in an Excel spreadsheet with a graphical user interface. --- Findings – The tool is validated against the numerical MATLAB results of a previous thesis for the Airbus A320 and A340. The analytical BFL is very close to these numerical values, which shows that solving the integral gives the same result as the step-wise integration. The tool is then applied to the Boeing 737-800, Boeing 777-300ER, Embraer E195, and Bombardier CRJ-900, and the results are compared with published take-off field length values for these aircraft. --- Research Limitations – If no other values are given, the analysis assumes ISA sea-level conditions, a dry level runway, and no wind. Simplifying assumptions are made for the rotation time and for the asymmetric drag after engine failure. --- Practical Implications – The tool is intended for educational use. It provides fast take-off performance estimates for aircraft design and aircraft performance calculations. It helps students to better understand the concept of BFL. --- Social Implications – Municipalities could face pressure due to a looming runway extension. The Excel spreadsheet helps them to better understand the need for the runway extension. They can do independent calculations and engage in a discussion with the airport on equal footing. --- Originality – Goudreault proposed the principles of an analytical integration in an SAE paper in 2013. At HAW Hamburg, Lucht showed how to apply analytical integration to the drag and thrust models used at the university. To my knowledge, this Master Thesis is the first open work to calculated BFL with analytical integration (and without iteration of V1) to a practical level including both ground and air segments of the take-off path. In addition, an Excel spreadsheet is offered.