Find : 
OR
Integrate the following w.r.t. x

Let ![]()
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Putting cosx = t ⇒ -sinx dx = dt
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Let
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-1 = A(1-t)(1+2t)+B(1+t)(1+2t)+C(1-t)(1+t)
Put 1-t = 0, we get
-1=6B ![]()
Put 1+t = 0, we get
-1=-2A ![]()
Put 1+2t = 0, we get
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Now,
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OR
We have,
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Putting 1-x2=t
⇒ -2x dx =dt
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Couldn't generate an explanation.
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![a = [ ccc 1&-2&3 0&-1&4 -2&2&1 ]](https://static.philoid.co/ncertusercontent/solutions/?domain=gF&l=PROJ28279/1553497777558410.png)

