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AAKASH INSTITUTE-INTEGRALS-Objective Type Questions (Only one answer)
- Evaluate: intsqrt(1+2cotx(cotx+cosecx))dx
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- int(x^(2-1))/(xsqrt(x^4+3x^2)+1)dx is equal to
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- Primitive of (3x^4-1)/(x^4+x+1)^2 w.r.t. x is
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- int(1)/(x)ln((x)/(e^(x)))dx=
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- int((2x+1))/((x^(2)+4x+1)^(3//2))dx
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- int e^(tan^(-1)x) ((1+x+x^2)/(1+x^2))dx
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- int\ (tan^(-1)x - cot^(-1)x)/(tan^(-1)x + cot^(-1)x) \ dx equals
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- intsin2x*log(e)cosxdx is equal to
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- int\ 7^(7^(7^x)) * 7^(7^x) * 7^x \ dx
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- If intf(x)dx=f(x), then int{f(x)}^2dx is equal to
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- int(cot^(-1)(e^x))/e^xdx is equal to
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- value of e^(tantheta)(sectheta-sintheta)d(theta) is equal to
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- The value of int(1-x^7)/(x(1+x^7))dx is equal to
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- (x^4+1)/(x(x^2+1)^2)dx=Aln|x|+B/(1+x^2)+C ,
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- If int e^(3x)cos4xdx=e^(3x)(Asin4x+Bcos4x)+C, then:
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- int(2x^(2)+3)/((x^(2)-1)(x^(2)+4))dx=alog((x+1)/(x-1))+b"tan"^(-1)(x)/...
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- intsinx d (cosx) is equal to
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- int(dx)/(x*(lnx)(ln(lnx)).......(lnlnln...lnx)(20\ "times") is equal t...
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- If int(dx)/(3sqrt(sin^(11)x*cosx))=-(a(b+ctan^(2)x))/(d tan^(2)x(tanx)...
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- If int (sqrtx)^5/((sqrtx)^7+x^6) dx= alog(x^k/(1+x^k))+c then a and k ...
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