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intsec^4 x tanx dx equals :...

`intsec^4` x tanx dx equals :

A

`1/4sec^(4)+x+C`

B

`4sec^(4)x+C`

C

`(sec^(3)x)/3+C`

D

`sec^(3)x+C`

Text Solution

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The correct Answer is:
A
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BETTER CHOICE PUBLICATION-INTEGRALS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. intsec^4 x tanx dx equals :

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  2. int e^x(f(x)+f'(x))dx is equal to :

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  3. int (dx)/(sqrt(1 - x^2)) is equal to :

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  4. int(-1)^(1)(x^(91)-x^(93)) is equal to

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  5. int(0)^(pi//2)(sqrt(cosx)/(sqrt(sinx)+sqrt(cosx)))dx is equal to

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  6. Evaluate : int (dx)/(x^2-6x+13).

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  7. Evaluate the following integrals : int( cosx-cos alpha)/("cos"x/2+"c...

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  8. Evaluate the following integrals : int 1/(sqrt(x+2)-sqrt(x+3))dx

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  9. Evaluate the following integrals : int1/(sqrt(x+3)-sqrt(x+2))dx

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  10. Evaluate the following integrals : int(cos2x)/((cosx+sinx)^(2))dx

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  11. Evaluate the following integrals : int(xtan^(-1)x)/((1+x^(2))^(3//2)...

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  12. Evaluate the following integrals : int (xsin^(-1)x)/(sqrt(1-x^(2)) dx

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  13. Evaluate the following integrals : intlog(1-x)^(2)dx

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  14. Evaluate the following integrals : intdx/((sqrt(x+a) + sqrt(x+b))

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  15. Evaluate the following integrals : int(sinx)/(sin3x)dx

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  16. Evaluate the following integrals : int (x^(2)-1)/(x^(4)+x^(2)+1)dx

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  17. Evaluate the following integrals : int(x^(2))/(x^(4)+1)dx

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  18. Evaluate the following integrals : int(dx)/(1-sinx+cosx)

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  19. Evaluate the following integrals : intcos^(4)x.dx

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  20. Evaluate the following integrals : int(sinxdx)/sin(x-a)

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