`intsinm xcosn xdx ,m!=n`

intcosm xcosn xdx ,m!=n

Integrate: intcosm xcosn x\ dx ,\ \ m!=n

If I_(m.n) = int sin^(m) x cos^(n) xdx then I_(5,4) =

The value of the integral int_(-pi)^pisinm xsinn xdx , for m!=n(m , n in I),i s

IfI_(m , n)=int_0^(pi/2)sin^m xcos^n xdx , Then show that I_(m , n)=(m-1)/(m+n)I_(m-2,n)(m ,n in N) Hence, prove that I_(m , n)=f(x)={((n-1)(n-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))pi/4 when both m and n are even ((m-1)(m-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))}

IfI_(m , n)=int_0^(pi/2)sin^m xcos^n xdx , Then show that I_(m , n)=(m-1)/(m+n)I_(m-2,n)(m ,n in N) Hence, prove that I_(m , n)=f(x)={((n-1)(n-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))pi/4 when both m and n are even ((m-1)(m-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))}

IfI_(m , n)=int_0^(pi/2)sin^m xcos^n xdx , Then show that I_(m , n)=(m-1)/(m+n)I_m-2n(m ,n in N) Hence, prove that I_(m , n)=f(x)={((n-1)(n-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))pi/4 when both m and n are even ((m-1)(m-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))

The value f the integral int_(-pi)^pisinm xsinn xdx , for m!=n(m , n in I),i s 0 (b) pi (c) pi/2 (d) 2pi

The value f the integral int_(-pi)^pisinm xsinn xdx , for m!=n(m , n in I),i s 0 (b) pi (c) pi/2 (d) 2pi

The value f the integral int_(-pi)^pisinm xsinn xdx , for m!=n(m , n in I),i s 0 (b) pi (c) pi/2 (d) 2pi