Question

The value of 'x' if 5x - 3= 3x - 5 is 2.​

Answer 1

Answer:

Solution

Let (x+3)=Adxd(x2−2x−5)+B

(x+3)=A(2x−2)+B

Equating the coefficients of x and constant term on both sides, we obtain

2A=2⇒A=21

& −2A+B=3⇒B=4

∴(x+3)=21(2x−2)+4

⇒∫x2−2x−5x+2dx=∫x2−2x−521(2x−2)+4dx

=21∫x2−2x−52x−2dx+4∫x2−2x−51dx

Let I1=∫x2−2x−52x