Q16 of 39 Page 1

Find:

Given:


Let u = x2⇒ du = 2x dx



By using partial fraction;




When u = −1; A = 1


1 = A(-1 + 2)2 + 0


A = 1


When u = −2; C = −1


1 = C(-2 + 1)


-C = 1


C = -1


By considering the constants on both sides;


1 = 4A + B + C


∴ B = −2





More from this chapter

All 39 →
14

Using properties of determinants, prove that

OR


Let find a matrix D such that

15

Differentiate the function (sinx)^x + sin^-1root x with respect to x.

OR


If x^my^n = (x+y)^m+n prove that d^2y/dx^2 = 0

 17

Evaluate: integrate _0^ pi xsinx/1+cos^2xdx.

OR


Evaluate: integrate _0^3/2|xsinpi x|dx

 18

Prove that is the general solution of the differential equation where C is a parameter.