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abha patel Grade:
         integrel of(1-cot^(n-2)x)dx

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tanx+cotx.cot^(n-2)x
integral of 3+2cosx dx
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(2+3cosx)^2
integral of dx
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(1+x^0.5)(x-x^2)^0.5
7 years ago

Answers : (1)

Chetan Mandayam Nayakar
312 Points
										

(1+x^0.5)(x-x^2)^0.5 dx = I


let x = sin2(q)


I = 2sin2(q)cos2(q)(1+sin(q)) dq


= ((sin2(2q)/2)dq+ 2 cos2(q)(1-cos2(q))dq


= (1-cos(4(theta))) d(theta) + 2cos2(q)sin(theta) d(theta) -  2cos4(q)sin(theta) d(theta)


I= (theta/4) –(sin(4(theta))/16) +((2/5)cos5(q)) - ((2/3)cos3(q))


q = arcsin(sqrt(x))

6 years ago
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