grandes-ecoles 2013 QIII.D.7

grandes-ecoles · France · centrale-maths1__pc Indefinite & Definite Integrals Integral Equation with Symmetry or Substitution

Deduce that $$\int _ { 0 } ^ { \pi / 2 } \ln ( \sin \theta ) d \theta = - \pi \frac { \ln 2 } { 2 }$$
Then recover the result from question III.B.6.

Deduce that
$$\int _ { 0 } ^ { \pi / 2 } \ln ( \sin \theta ) d \theta = - \pi \frac { \ln 2 } { 2 }$$

Then recover the result from question III.B.6.