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HIMALAYA PUBLICATION-INDEFINITE INTEGRAL-QUESTION BANK
- int e^(tan^(-1)x)/(1+x^(2))[(sec^(-1) sqrt(1+x^(2)))^(2)+ cos^(-1) ((1...
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- If int ((3x^(2)+2x)dx)/(x^(6)+2x^(5)+x^(4)+2x^(3)+2x^(2)+5) = 1/A tan^...
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- int (cos theta - sin theta)/(sqrt(sin 2 theta) ) d theta=
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- If int (x^(9)+x^(6)+x^(3))(2x^(6)+3x^(3)+6)^(1/3) = 1/A (2x^(9)+3x^(6)...
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- If int ((x-1)e^(x))/(x+1)^(3)dx = (Ae^(x))/((x+1)^B) + k, then B^(A) =
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- If int(logx)^(2) dx = x[f(x)]^(2) +Ax [f(x)-1]+c then
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- int (d[f^(2)(x)])/(f(x)+f^2(x)=
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- int (x+(cos^(-1)3x)^(2))/(sqrt(1-9x^(2)))dx =
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- int 2^(2^(2^(x))). 2^(2^(x)).2^(x) dx =
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- int (5tanx)/(tanx-2)dx = x+a log (sin x-2 cos x) then a =
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- int (secx)/(sqrt(cos 2x))dx =
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- int (sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx =
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- int 2^(x)[f(x) log 2 +f^(')(x)]dx =
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- int dx/((x-1)sqrt(x^(2)-1)) =
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- int (1+xtanx)^(-2) dx = 1/(x+f(x))+c then f(x) =
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- int dx/(x^(6)+x^(4) ) =
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- int(x+1)/(x(xe^(x)+1)^(2))dx =
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- int dx/((x+2)sqrt(x+1))=
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- int e^(3x)[3 tanx + sec^(2)x]dx =
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- int (xdx)/((x^(2)+16)(x^(2)+25)) =
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