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intsin2x*log(e)cosxdx is equal to...

`intsin2x*log_(e)cosxdx` is equal to

A

`((1)/(2)+log_(e)cosx)*cos^(2)x+C`

B

`cos^(2)x*log_(e)cosx+C`

C

`((1)/(2)-log_(e)cosx)*cos^(2)x+C`

D

`(1-log_(e)cosx)+C`

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AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (Only one answer)
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  2. int\ (tan^(-1)x - cot^(-1)x)/(tan^(-1)x + cot^(-1)x) \ dx equals

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  3. intsin2x*log(e)cosxdx is equal to

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  4. int\ 7^(7^(7^x)) * 7^(7^x) * 7^x \ dx

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  5. If int f(x)dx=f(x), then int {f(x)}^(2)dx is equal to

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  6. int(cot^(-1)(e^x))/e^xdx is equal to

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  7. value of e^(tantheta)(sectheta-sintheta)d(theta) is equal to

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  8. The value of int(1-x^7)/(x(1+x^7))dx is equal to

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  9. int(x^4+1)/(x(x^2+1)^2)dx=Aln|x|+B/(1+x^2)+C ,

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  10. If int e^(3x)cos4xdx=e^(3x)(Asin4x+Bcos4x)+C, then:

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  11. int(2x^(2)+3)/((x^(2)-1)(x^(2)+4))dx=alog((x+1)/(x-1))+b"tan"^(-1)(x)/...

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  12. intsinx d (cosx) is equal to

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  13. int(dx)/(x*(lnx)(ln(lnx)).......(lnlnln...lnx)(20\ "times") is equal t...

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  14. If int(dx)/(3sqrt(sin^(11)x*cosx))=-(a(b+ctan^(2)x))/(d tan^(2)x(tanx)...

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  15. "If " int sqrt("cosec"x+1)dx=k fog(x)+c, " where " k is a real consta...

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  16. int{1+tanx*tan(x+A)}dx=cotA*ln|f(x)|+C then f(x) equal to

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  17. The value if int(x^(2)-1)/((x^(2)+1)(sqrt(x^(4)+1)))dx equal to (1)/(s...

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  18. If intf(x)cos x dx = 1/2 f^(2)(x)+C, then f(x) can be

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  19. Evaluate: int(x^2-1)/((x^4+3x^2+1)tan^(-1)(x+1/x))dx

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  20. If the value of lim(n->oo){1/(n+1)+1/(n+2)+.......+1/(6n)} is 'K' th...

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