Elective Mathematics

Question 1

1∫ x eˣ dx =

Hard

A. eˣ(x − 1) + C B. eˣ(x + 1) + C C. x eˣ + C D. x² eˣ/2 + C

Question 2

2∫ 4x³ dx =

Easy

A. x⁴ + C B. x³ + C C. 12x² + C D. 4x⁴ + C

Question 3

3Find ∫(1/x) dx for x ≠ 0.

Easy

A. x⁰ + c B. 1/x² + c C. ln|x| + c D. −1/x² + c

Question 4

4∫ cos x dx =

Easy

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

Question 5

5Find ∫eˣ dx.

Easy

A. eˣ⁺¹ + c B. eˣ + c C. ln x + c D. xeˣ + c

Question 6

6∫ (1/x) dx =

Easy

A. eˣ + C B. ln|x| + C C. x⁻² + C D. 1/x² + C

Question 7

7Find ∫cos x dx.

Easy

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

Question 8

8Evaluate ∫₁³ 2x dx.

Easy

A. 8 B. 6 C. 4 D. 9

Question 9

9∫₀^(π/2) sin x dx =

Hard

A. 1 B. −1 C. 0 D. π/2

Question 10

10∫ 1/(2x + 1) dx =

Hard

A. 1/(2x + 1)² + C B. ln|2x + 1| + C C. 2 ln|2x + 1| + C D. ½ ln|2x + 1| + C