Choose the best answer 1.Integral a dx = (where a is a constant) a. 0 + C b. a +

Question

Choose the best answer 1.Integral a dx = (where a is a constant) a. 0 + C b. a + C c. ax + C d. C e. None of the above 2.Integral x^n dx = (where n 6= ?1) a. x^n + C b. x^n+1 + C c. x^n/x^n+1 + C d. x^n+1/n+1 + C e. None of the above 3.Integral 1/x dx = a. x + C b. 1/x^2 + C c. ln(x) + C d. ln | x | +C e. None of the above 4.Integral e^x dx = a. e^x + C b. e^x+1 + C c. ln(x) + C d. ln | x | +C e. None of the above 5.Integral a^x dx = (where a is a constant) a. a^x+1 + C b. a^x+1/x+1 + C c. a^x/ln(a) + C d. a^x+1/ln(a+1) + C e. None of the above 6.Integral sin(x) dx = a. cos(x) + C b. ?cos(x) + C c. sin(x) + C d. ?sin(x) + C e. None of the above 7.Integral cos(x) dx = a. cos(x) + C b. ?cos(x) + C c. sin(x) + C d. ?sin(x) + C e. None of the above 8.Integral sec^2(x) dx = a. tan(x) + C b. ?tan(x) + C c. cot(x) + C d. ?cot(x) + C e. None of the above 9.Integral csc^2(x) dx = a. tan(x) + C b. ?tan(x) + C c. cot(x) + C d. ?cot(x) + C e. None of the above 10.Integral sec(x) tan(x) dx = a. tan(x) + C b. ?tan(x) + C c. cot(x) + C d. ?cot(x) + C e. None of the above 11.Integral 1/ root x^2+1 dx = a. arccos(x) + C b. arcsin(x) + C c. arctan(x) + C d. cot(x) + C e. None of the above 12.Integral 1/root 1?x^2 dx = a. arccos(x) + C b. arcsin(x) + C c. arctan(x) + C d. cot(x) + C e. None of the above 13. Evaluate Integral(1,0) 3 dx. a. 0 b. 3 c. 10 d. 30 e. None of the above 14. Evaluate Integral (5,0) 3x^2 dx. a. 0 b. 30 c. 300 d. 1000 e. None of the above 15. Evaluate Integral (1,0) (4 + 3x^2) dx. a. 1 b. 4 c. 5 d. 6 e. None of the above 16. If Integral (1,0) f(x) dx = 7 and Integral (3,0) f(x) dx = 4, find the value of Integral (3,1) f(x) dx. a. 1 b. 3 c. 0 d. -3 e. None of the above 17. Evaluate Integral (8,?1) 3 root x dx. a. 49/4 b. 41/4 c. 45/4 d. 35/4 e. None of the above 18. The velocity of a particle moving along a line is 2t meters per second. Find the distance travelled in meters during the time interval 1_< t_< 3. a. 9 b. 5 c. 2 d. 8 e. None of the above 19. Evaluate Integral (3,1) e^x dx. a. 0 b. e ? 1 c. e ? e^3 d. e^3 ? e e. None of the above 20. Evaluate Integral (pi/2,0) sin (angle) d(angle). a. 0 b. 1 c. -1 d. pi e. None of the above 21. Evaluate Integral (pi,0) cos(x) dx. a. 0 b. 1 c. -1 d. pi e. None of the above 22. Evaluate Integral (3,-2) sin^2(x) + cos^2(x) dx. a. 1 b. -1 c. 5 d. -5 e. None of the above

Explanation / Answer

1.) C.

2.) C

3.) C

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