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HIMALAYA PUBLICATION-INDEFINITE INTEGRAL-QUESTION BANK
- int [(log x-1)/(1+(logx)^(2))]^(2) dx=
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- int (1-cot x)cosec^(2) x dx equals :
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- int (cos x - sin x)/(cosx + sinx) (2+2 sin 2x) dx =
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- int dx/((x-p)sqrt((x-p)(x-q)) =
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- int dx/((2x-7) (sqrt(x^(2)-7x+12))) =
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- int(sqrt(x) - 1/(sqrtx))^(2) dx.
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- int cos x. log (tan (x/2)) dx =
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- int ((x^2-1)x)/(x^4sqrt(2x^4-2x^2+1))dx is equal to :
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- int e^(x)/(x+2) {1+(x+2) log (x+2)} dx =
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- int sin^(2)x.cos^(3)x dx =
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- int e^(x)(1+xlogx)/x dx =
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- int x^(5)/(x^(2)+1) dx =
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- int (sin^(3)x+cos^(3)x)/(sin^(2)x. Cos^(2)x )dx =
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- int (3dx)/(2x^(2)-x-1) =
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- int 1/x sqrt((x-1)/(x+1)) dx =
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- int dx/(x(1+logx)^(2) =
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- int(sin^(6)x)/(cos^(8)x)dx=
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- int e^(x) (1-cotx +cot^(2)x)dx =
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- int (x+1)^(2)e^(x)dx =
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- int dx/(sqrt(x)(x+9))=
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