Integration: techniques and indefinite integrals

Question 1 of 10

Evaluate ∫ from 2 to 5 of 6x² dx.

A. 126 B. 240 C. 234 D. 18

Question 2 of 10

Find ∫ e^(5x) dx.

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

Question 3 of 10

∫ sin x dx =

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

Question 4 of 10

∫ 1/x dx =

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

Question 5 of 10

∫ xⁿ dx =

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

Question 6 of 10

∫ 4 dx = 4x + ___

Question 7 of 10

A curve passes through the point (1, 3) and has gradient dy/dx = 6x − 2. Find its equation.

Question 8 of 10

The acceleration of a particle is a = 6t. If v = 0 and s = 0 at t = 0, find the velocity and displacement at t = 2.

Question 9 of 10

The constant C is called the

A. constant of proportionality B. coefficient C. constant of integration D. limit

Question 10 of 10

Evaluate ∫ from 1 to 4 of 8x⁴ dx.

A. 2,040 B. 1,636.8 C. 1,644.8 D. 24

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Questions written by OtisamLMS in the style of the WASSCE. They are not WAEC past questions.

Past questions, worked solutions and curriculum-mapped study material for JHS and SHS students and teachers in Ghana.

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