Question

Indefinite integrals. Use table 5.6 or a change of variables to evaluate the following indefinite integrals. check your work by differentiating.

2. 1 dx, x 2 32 xV4x2-I Table 5.6 General Integration Formulas cos ax C a sin ax C 1. cos ax dx = 2. sin ax dr se' 3. 4. ax dx=- ax dx -tan ax C a cot ax C 1 sec ax tan ax dx=-sec ax C 1 --csc ax C csc ax cot ax 5. 6. 1 b In b C.b > 0, b 7. axdr C 8. bdx 1 dx dx -1 tan a C, a 0 9. + C 10. = sin dx C, a 0 11. - sec Il

Answer 1

da , /2 2 42-1 har Table 5.6 we om ain th phnly + C 1H d a da 2 dx 2 xx-/4 (2) 4) dx Haing erty fom t is dec 4/2) (42) 2 ' 12x - 2 Jec Answer -/ 2 Sec 12x1 +C 11