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If int(1)/(cos^(2)xsqrt(2 sin2x))dx=(ta...

If `int(1)/(cos^(2)xsqrt(2 sin2x))dx=(tanx)^(A)+C(tanx)^(B)+k`, where k is a constant of integration , the A+B+C equals

A

`(16)/(5)`

B

`(27)/(10)`

C

`(7)/(10)`

D

`(21)/(5)`

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-QUESTION FROM PREVIOUS YEARS.AIEEE/JEE MAIN PAPERS
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  5. The integral int(1)/((1+sqrt(x))sqrt(x-x^(2)))dx is equal to (where C ...

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  6. If int(1)/(cos^(2)xsqrt(2 sin2x))dx=(tanx)^(A)+C(tanx)^(B)+k, where k...

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  7. Evaluate: intsqrt(1+2cotx(cotx+cosecx))dx

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  8. I ff((3x-4)/(3x+4))=x+2, x!=4/3,andintf(x)dx=Alog|1-x|+B x+C then orde...

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  9. Let In=int tan^n x dx, (n>1). If I4+I6=a tan^5 x + bx^5 + C, Where C...

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  10. If int (2x + 5 )/(sqrt(7 - 6 x - x ^ 2 )) dx = A sqrt (7 - ...

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  11. if f ((x- 4 ) /(x + 2 )) = 2 x + 1 , (x in R - { 1, - 2 }) , ...

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  12. int\ (sin^2 x cos^2x)/(sin^5x+cos^3xsin^2x+sin^3xcos^2x+cos^5x)^2 \ d...

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  13. If int (x+1)/(sqrt(2x-1))dx = f(x)sqrt(2x-1)+C, where C is a constant ...

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  14. int(3x^(13)+2x^(11))/((2x^4+3x^2+1)^4)dx

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  15. If int(sqrt(1-x^2))/x^4dx=A(x) (sqrt(1-x^2))^m+C,for a suitable chose...

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  16. If int x^(5)e^(-x^(2))dx = g(x)e^(-x^(2))+C, where C is a constant of ...

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  17. Let n ge 2 be a natural number and 0 lt theta lt (pi)/(2), Then, int (...

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  19. For x ^ 2 ne n pi + 1, n in N ( the set of natural numb...

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