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MATHEMATICS

JAMB 2014 - Question 41

Mathematics 2014 JAMB Past Questions - Question 41: Evaluate ∫ sin 2xdx.

Evaluate ∫ sin 2xdx.

A: -cos2x+k

B: cos2x+k

C: 1/2cos2x+k

D: -1/2cos 2x+k

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Correct Answer

Explanation

To evaluate the integral of sin(2x) with respect to x, we can use the trigonometric identity:∫ sin(2x) dx = -1/2 cos(2x) + kwhere C is the constant of integration.Therefore, the integral of sin(2x) with respect to x is -1/2 cos(2x) + k.