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int(x^6(x+1)dx)/(sqrt(5x^(10)+6x^5+1))=...

`int(x^6(x+1)dx)/(sqrt(5x^(10)+6x^5+1))=`

A

`(sqrt(5x^(8)+6x^(7)+x^(2)))/(15)+c`

B

`(sqrt(5x^(8)+6x^(7)+x^(2)))/(30)+c`

C

`(sqrt(5x^(8)+6x^(7)+x^(2)))/(15)+c`

D

`(5X^(10)+6x^(5)+x^(4))^(1//2)+c`

Text Solution

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The correct Answer is:
A
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FIITJEE-INDEFINTE INTEGRAL-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL-I)
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  2. int(log(1+cosx)-xtan((x)/(2)))dx=

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  3. int(x^6(x+1)dx)/(sqrt(5x^(10)+6x^5+1))=

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  4. If int(sec^(2)x-2010)/(sin^(2010)x)dx=(P(x))/(sin^(2010) x)+C, then va...

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  6. If int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)Tan^(-1)((x^(2)+1)/(x)))=klog|tan...

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  7. If int\ x ln(1+1/x)\ dx = p(x)\ ln(1+1/x)+1/2 x - 1/2 ln(1+x) + c, c b...

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  8. int0^1T a n^(- 1)((2x)/(1-x^2))dx=

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  9. intsqrt(x)dx is equal to

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  10. If int((2x+1)dx)/(x^(4)+2x^(3)+x^(2)-1)=Aln|(x^(2)+x+1)/(x^(2)+x-1)|+C...

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  11. Let l(n)=int(0)^(1){P(x^(2))+P(x^(2)-1)}^(n)dx. If (k+1)l(n)=2k(1+l(n-...

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  12. int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx=

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

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  14. int(cos2theta)/((sintheta+costheta)^(2))d""theta is equal to

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  15. int ((x+2)/(x+4))^2 e^x dx is equal to

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  16. int e^(x^4) (x + x^3 +2x^5) e^(x^2) dx is equal to

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  17. 4 int (sqrt(a^(6)+x^(8)))/(x) dx is equal to

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  18. intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e...

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  19. The value of int(1+sin2theta)/(sintheta-costheta)d""theta is equal to

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  20. int((sin2x)^(1//3)d(root(3)(tanx)))/(sin^(2//3)x+cos^(2//3)x) is equal...

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