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Integrate root 1+ cos^2xQtehsjsjsjsjsjsjsjsjsjsjsjsjsksjsksjskskskjsjs

Integrate root 1+ cos^2xQtehsjsjsjsjsjsjsjsjsjsjsjsjsksjsksjskskskjsjs

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Grade:12

2 Answers

Ritika Das
105 Points
4 years ago
We know that 1+cos2x = 1+(1 – sin2x) = 2(1 – ((1/2)sin2x). During integration root 2 comes out of the integration sign.
So after integrating we get (root2)E(phi,1/root2) if we consider the upper limit as phi and lower limit as zero!
Swagata
11 Points
4 years ago
well at first integrate 1+cos^2x,obviously 1 becomes 0.Now while integrating cos^2x first simplify it to  cos2x+1(as cos2x=2cos^2x-1).Then integrate that part,and again 1 becomes 0 and cos2x becomes sin2x/2 but the final answer is sin2x/4 as for bringing that extra 2 earlier u need to multiply ½ to balance the extra 2 .Thus the answer is ---> Sin2x/4

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