Question

$\int\limits^1_ {-1} \, \frac{1}{ \sqrt{2-x^{2} } } dx$ plssss

Answer 1

aplici  formula
I=∫dx/√(a²-x²)=arcsinx/a  unde a²=2  a=√2
I=arcsinx l√2 l(-1)/1=arcsin1/√2-arcsin(-1/√2)=arcsin √2/2-arcsin(-√2/2)=
π/4-(2π-π/4)=π/4+7π/4=2π