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Area bounded by f\left ( x \right )=\cos ^{-1}\left ( \cos x \right ) with x-axis and between x=0 and x=2\pi is

Option: 1

(1)\; \pi ^{2}\; \text {sq.units}


Option: 2

(2)\; \frac{\pi ^{2}}{2}\; \text {sq.units}


Option: 3

(3)\; 2\pi ^{2}\; \text {sq.units}

 


Option: 4

(4)\; \frac{\pi ^{2}}{3}\; \text {sq.units}


Answers (1)

best_answer

y=\cos ^{-1}\cos x\; \text {and}\; x=-\pi \; \text {and}\; x=3\pi

Area = \frac{1}{2}\times 2\pi \times \pi =\pi ^{2}\text {sq.units}

Posted by

shivangi.shekhar

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