\(∫sin^2 πx dx =\)?
Let \(f:R→R\) be defined by \(f(x)=\){\(2x+3,x≤5 3x+α,x>5\) .Then the value of \(α\) so that f is continuous on \(R\) is
The minimum of \(f(x)=\sqrt{(10-x^2)}\) in the interval \([-3,2]\) is
The projection of the vector \(a=2i-3j+4k \)on the vector \(b=i+2j+2k\) is ?