Q18 of 46 Page 1

Evaluate :

OR


Evaluate :

Given:


Put


⇒


⇒ =


⇒


⇒


Now using the property:


⇒


⇒


⇒


⇒


⇒


OR






…… (1)


By partial fraction




x – 2 = A(2x – 1) + Bx


Equate coefficient of x and constant term to get,


2A + B = 1 and – A = - 2


⇒ A = 2, B = -3



So, from (1),





More from this chapter

All 46 →
16

Prove the following:


OR


Prove the following:


 17

Show that the function f defined as follows, is continuous at x = 2, but not differentiable:


OR


Find if

19

Evaluate :

20

Find the points on the curve y = x3 at which the slope of the tangent is equal to the y-coordinate of the point.