mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

An integral

Source: Alex Bolton (inspired by Book Proofs blog)
What is
$$\int_0^{\frac\pi2}\frac1{1+\tan^a(x)}\,dx?$$

Show hint


Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths LIII,
puzzles about calculus, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles

Tags

complex numbers differentiation cryptic clues surds wordplay elections median crossnumbers square numbers squares cube numbers multiples indices sum to infinity probability books star numbers ellipses range triangles folding tube maps taxicab geometry bases averages menace division functions mean chess scales unit fractions chocolate addition digits colouring sport circles calculus time shape the only crossnumber logic doubling geometry gerrymandering palindromes 3d shapes irreducible numbers crossnumber cryptic crossnumbers perimeter polygons advent angles number games means lines algebra grids balancing integration cards triangle numbers multiplication partitions clocks coins chalkdust crossnumber remainders fractions sums coordinates numbers arrows percentages prime numbers speed products perfect numbers rectangles area 2d shapes spheres regular shapes routes tiling money graphs factors dates quadratics sequences christmas probabilty planes people maths square roots integers floors pascal's triangle dominos volume parabolas digital clocks crosswords trigonometry odd numbers dice factorials proportion ave symmetry shapes rugby hexagons dodecagons

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020