Elective Mathematics

Question 1

1Find ∫(4x³ − 2) dx.

Easy

A. 4x⁴ − 2x + c B. x⁴ − 2 + c C. x⁴ − 2x + c D. 12x² + c

Question 2

2Differentiate x sin x with respect to x.

Medium

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

Question 3

3Find ∫3x² dx.

Easy

A. x² + c B. 3x³ + c C. 6x + c D. x³ + c

Question 4

4∫ (2x + 3) dx =

Easy

A. x² + C B. 2x² + 3x + C C. 2 + C D. x² + 3x + C

Question 5

5Evaluate the integral of 2x from x = 0 to x = 2.

Easy

A. 2 B. 0 C. 8 D. 4

Question 6

6Differentiate y = cos 3x.

Easy

A. −sin 3x B. 3 sin 3x C. sin 3x D. −3 sin 3x

Question 7

7Differentiate sin x with respect to x.

Easy

A. cos x B. −cos x C. −sin x D. tan x

Question 8

8Differentiate (2x + 1)³ with respect to x.

Medium

A. 6(2x + 1)² B. 3(2x + 1)² C. 6(2x + 1)³ D. 2(2x + 1)²