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DIPTI PUBLICATION ( AP EAMET)-INDEFINITE INTEGRATION -EXERCISE 1A
- int (overset(oo)underset(r=o)sum(x^(r)2^(r))/(r!))dx=
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- int cot ^(2)x dx=
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- int sin^(2)x sec^(2) x dx=
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- int tanh^(2)xdx=
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- int (tanx-cotx)^(2)dx=
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- int (cos^(2)x)/(1-sinx)dx=
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- int (sin^(2)x)/(1+cosx)dx=
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- int (1)/(1+cosx)dx=
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- int sec^(2)"cosec"^(2) x dx=
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- int 1/(1+cos2x)dx=
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- int (1+sin^(2)x)/(1+cos 2x)dx=
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- int (a+b sinx)/(cos^(2)x)dx=
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- int (2-3cosx)/(sin^(2)x)dx=
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- int sqrt(1-sin2x)dx=
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- If x in (-pi//2, pi//2) then int sqrt(1+cos 2x)dx=
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- int (sinx+cosx)/(sqrt(1+sin 2x))dx=
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- int ( sin^(3)x+cos^(3)x)/(sin^(2)x cos^(2)x)dx=
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- int (3 cos^(2)x+4 sin^(2)x)/(cos^(2)xsin^(2)x)dx=
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- int (a cos^(3)x+b sin^(3)x)/(cos^(2)x sin^(2)x)dx=
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- If int (sin^(8)x-cos^(8)x)/(1-2sin^(2)cos^(2)x)dx=A sin 2x+B, then A=
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