differentiation by method of substitution

If the integrand f(x) of the integral is not in an integral form the variable of integration x is changed to a suitable variable z by substitution and on differentiation and simplification, the new integral is found integrable. ..

Differentiation by Substitution - Differentiation of certain functions seem to be very difficult, but by suitably substituting the independent variable with some trigonometric function or other functions, they can be differentiated easily.Diffe..

In this method a stronger ligand replaces a weaker ligand...

Solve 2x - 9y = 0 (i) x - 18y = 27 (ii) From (i) 2x - 9y = 0 2x = 9y (iii) Substituting this value of x in (ii), we get, 9y - 36y = 54 - 27y = 54 y = -2 Substitute this value of y in (iii): = - ..

We make the substitution (1+t 2 )dx 2dt Similarly, By making the above substitutions the integrals will be reduced to the for..

Integration of the form - Put g(x) = t Differentiating g(x) with respect to t, we have g'(x) dx = dt F(t) + C F(g(x)) +..

The different ways of solving differential equation are a follows: (a). Method of separation of variables, (b). Homogeneous differential equations, (c). Linear differential equation..

Evaluation of definite integral by substitution - We know that one of the most important method of evaluation of indefinite integral is method of substitution. While using method of substitution to evaluate definite integrals, following st..

This is a convenient method of preparation of aryl cyanides only. It is not suitable for preparing alkyl cyanides because alkyl diazonium salts are quite unstable even at low temperatures. It involves the treatment of benzene diazonium salt with a mixture of copper (I) cyanide and s..

This is a convenient method of preparation of aryl cyanides only. It is not suitable for preparing alkyl cyanides because alkyl diazonium salts are quite unstable even at low temperatures. It involves the treatment of benzene diazonium salt with a mixture of copper (I) cyanide and sodium ..