Elective Mathematics

Question 1

1Find ∫ e^(5x) dx.

Medium

A. 5e^(5x) + C B. e^(5x) + C C. (1/5)e^(5x) + C D. (1/6)e^(6x) + C

Question 2

2∫ 1/x dx =

Easy

A. eˣ + C B. x + C C. 1/x² + C D. ln|x| + C

Question 3

3∫ 0 dx = 0.

Medium

A. True B. False

Question 4

4∫ xⁿ dx =

Easy

A. xⁿ + C B. nxⁿ⁻¹ + C C. xⁿ⁺¹/(n + 1) + C D. xⁿ⁺¹ + C

Question 5

5Evaluate ∫ 7x⁵ dx.

Easy

A. (7/6)x⁶ + C B. (7/5)x⁶ + C C. 7x⁶ + C D. 35x⁴ + C

Question 6

6∫ 7 dx = 7x + ___

Easy

Your answer (fill in the blank)

Question 7

7∫ sin x dx =

Easy

A. cos x + C B. sin x + C C. −cos x + C D. −sin x + C

Question 8

8A definite integral has no constant of integration.

Easy

A. True B. False

Question 9

9Evaluate ∫ 6x⁵ dx.

Easy

A. (6/5)x⁶ + C B. 6x⁶ + C C. x⁶ + C D. 30x⁴ + C

Question 10

10Evaluate ∫ from 2 to 5 of 3x³ dx.

Medium

A. 351 B. 459.75 C. 9 D. 456.75