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Sed (CoderLovesEggs) Paper 1 with Solutions · Q14

Paper 1Trigonometry

Which of the following integrals has the largest value? Assume trigonometric functions are in radians.

A∫−π/2π/2cos⁡xdx\displaystyle\int_{-\pi/2}^{\pi/2}\cos x\dd x;
B∫0πsin⁡4xdx\displaystyle\int_0^\pi\sin^4x\dd x;
C∫0π∣2sin⁡(2x)∣dx\displaystyle\int_0^\pi|2\sin(2x)|\dd x;
D∫024−x2dx\displaystyle\int_0^2\sqrt{4-x^2}\dd x;
E∫−π/4π/4−log⁡2(cos⁡x)dx\displaystyle\int_{-\pi/4}^{\pi/4}-\log_2(\cos x)\dd x.

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