Maths-

General

Easy

Question

# If then

Hint:

**In order to integrate a rational function, it is reduced to a proper rational function. The method in which the integrand is expressed as the sum of simpler rational functions is known as decomposition into partial fractions. After splitting the integrand into partial fractions, it is integrated accordingly with the help of traditional integrating techniques.**

## The correct answer is:

### Given :

To Find : P(x)

Let P(x) be a linear polynomial i.e. = mx + n ( since y = mx + c)

Substitute this value in the equation

Taking LCM

Cancelling denominators on both sides

On comparing the coefficients of from both sides ,we get

m = 1

-am -bm -cm + n = 0

a + b + c = n

P(x) =mx + n

Substituting the values of m and n in

P(x) = x + a + b + c

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