Puzzles
Integrals
$$\int_0^1 1 dx = 1$$Find \(a_1\) such that:
$$\int_0^{a_1} x dx = 1$$
Find \(a_2\) such that:
$$\int_0^{a_2} x^2 dx = 1$$
Find \(a_n\) such that (for \(n>0\)):
$$\int_0^{a_n} x^n dx = 1$$
If you enjoyed this puzzle, check out Sunday Afternoon Maths XXXI,
puzzles about calculus, or a random puzzle.
puzzles about calculus, or a random puzzle.