`intxsinxsin2x & dd; x`

Evaluate: intxsinxsin2xdx

Evaluate: intxsinxsin2xdx

If the 3rd, 4th , 5th and 6th term in the expansion of (x+alpha)^n be, respectively, a ,b ,ca n dd , prove that (b^2-a c)/(c^2-b d)=(5a)/(3c)dot

If the 3rd, 4th , 5th and 6th term in the expansion of (x+alpha)^n be, respectively, a ,b ,ca n dd , prove that (b^2-a c)/(c^2-b d)=(5a)/(3c)dot

If the 3rd, 4th , 5th and 6th term in the expansion of (x+alpha)^n be, respectively, a ,b ,ca n dd , prove that (b^2-a c)/(c^2-b d)=(5a)/(3c)dot

If f(x)=|[cos(x +x^2), sin(x +x^2),-cos(x+x^2)],[ sin(x-x^2), cos(x -x^2), sin(x-x^2)],[sin2x,0,sin2x^2]| then find f'(x)

Consider a general reaction aA+bBto cC+dD The rate expression for the reaction is Rate = k[A]^x[B]^y .Establish the significance of (a+b)and (x+y)term in terms of order and molecularity.

The solution of (x^2+x y)dy=(x^2+y^2)dx is (a) ( b ) (c)logx=log(( d ) (e) x-y (f))+( g ) y/( h ) x (i) (j)+c (k) (l) (m) ( n ) (o)logx=2log(( p ) (q) x-y (r))+( s ) y/( t ) x (u) (v)+c (w) (x) (y) ( z ) (aa)logx=log(( b b ) (cc) x-y (dd))+( e e ) x/( f f ) y (gg) (hh)+c (ii) (jj) (kk) None of these

Consider a general reaction aA+bBto cC+dD The rate expression for the reaction is Rate = k[A]^x[B]^y .Write any two differences between order and molecularity.