partial fraction tutoring

Any proper rational function can be expressed as sum of rational fractions, each having a factor of Q(x). Each such fraction is known as Partial fraction..

Before using this technique of integration, let us recall what we have learnt about partial fraction..

Step 4: Integrate each part on the right hand side to obtain the required integral..

Dalton's Law of Partial Pressures - Dalton proposed this law on the pressure exerted by a mixture of non-reacting gases in an enclosed vessel. The law of partial pressure states that the total pressure exerted by a mixture of two or more non-reacting gases in a definite volume i..

Dalton proposed this law on the pressure exerted by a mixture of non-reacting gases in an enclosed vessel. The law of partial pressure states that the total pressure exerted by a mixture of two or more non-reacting gases in a definite volume is equal to the sum of the individual pre..

Carboxylic acids are reduced to primary alcohols on treatment with lithium aluminium hydride or better with diborane. Here -COOH group is reduced to -CH 2 OH. Sodium borohydride does not reduce the carboxyl grou..

Write the terms for the partial fraction decomposition of 9 x 2 - 1 . => A x + 1 - B x - 1 or A x + 1 + B x 2 - 1 or A x + 1 + B x + 1 or A x + 1 + B x - 1..

Find the partial fraction decomposition of 5 ( x + 2 ) ( x + 3 ) . => 5 ( x + 2 ) - 4 ( x + 3 ) or 5 ( x + 2 ) - 5 ( x + 3 ) or 5 ( x + 2 ) + 5 ( x + 3 ) or None of the above..

Find the partial fraction decomposition of 2 5 - 6 x x ³ - 6 x ² + 9 x . => 2 5 9 x + 2 5 9 ( x - 3 ) + 7 3 ( x - 3 ) ² or 2 5 x + 2 5 x - 3 - 7 ( x - 3 ) ² or 2 5 9 x - 2 5 9 ( x - 3 ) + 7 3 ( x - 3 ) ² or None of the above..

Find the partial fraction decomposition of - 1 ( x - a ) ( x - b ) . => ( 1 b - a ) x - a + ( 1 a - b ) x - b or a x - a + b x - b or a x - a - b x - b or ( 1 a - b ) x - a + ( 1 b - a ) x - b..