MATHEMATICS 11

Practice Integrals

1.Z

(ex + x2)2 dx

2.Z

dxpx2 2x (Hint: Complete the square.)

3.Zxp

1 + x dx

4.Z

sin(lnx) dx

5.Z

tan2 x sec2 x dx

6.Z

dx

xp

9 + 4x2(Hint:

Rcsc d = ln j csc + cot j+ C:)

7.Z

sinx2 + cosx

dx

8.Z

2x3 + 3(x2 + 1)3

dx

9.Z

sec6 x dx

10.Z

(lnx)2 dx

11.Zx sec2 x dx

12.Z

dx

(x2 1)2

13.Zx3p

1 x2 dx

14.Z

dx

x lnx((lnx) 1)

15.Z

8x4 + 2x3

dx