ABSTRACT

In Problems 12 to 15, determine the indefinite integrals.

12. (a) ∫

(x2 + 4)dx (b) ∫ 1

x3 dx (4)

13. (a) ∫ ( 2√

x + 3√x

) dx (b)

∫ 3 √ t5dt (4)

14. (a) ∫ 2

3√ x2

dx (b) ∫ (

e0.5x + 1 3x

− 2 ) dx

(6)

15. (a) ∫

(2+ θ)2 dθ

(b) ∫ (

cos 1 2 x + 3

x − e2x

) dx (6)

Evaluate the integrals in Problems 16 to 19, each, where necessary, correct to 4 significant figures.