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What is inttan^(-1)(secx+tanx) dx equal ...

What is `inttan^(-1)(secx+tanx)` dx equal to ?

A

`(pix)/(4)+(x^(2))/(4)+c`

B

`(pix)/(2)+(x^(2))/(4)+c`

C

`(pix)/(4)+(pix^(2))/(4)+c`

D

`(pix)/(4)-(x^(2))/(4)+c`

Text Solution

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The correct Answer is:
A
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PUNEET DOGRA-INTEGRATION-Prev year questions
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  2. Consider the following statements : 1. (dy)/(dx) at a point on the c...

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  4. int(lnx)^(-1)dx-int(lnx)^(-2) dx is equal to

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  5. l(1)=(d)/(dx)(e^(tanx)) l(2)=lim(h to 0)(e^(sin(x+h)-e^(sinx)))/(h) ...

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  6. What is int((x^(e-1)+e^(x-1)))/(x^(e )+e^(x)) equal to ?

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  7. Let f(x) be an indefinite integral of sin^(2)x. Consider the following...

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  8. What is int(dx)/(x(x^(2)+1)) equal to ?

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  9. What is int(x^(4)-1)/(x^(2)sqrt(x^(4)+x^(2)+1))dx equal to ?

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  10. What is inte^(sinx)(xcos^(3)x-sinx)/(cos^(2)x)dx equal to ?

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  11. Let f(x)and g(x) be twice differentiable functions on [0,2] satisfying...

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  12. int(dx)/(1+e^(-x)) is equal to : Where c is the constant of integrat...

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  13. Consider f'(x)=(x^(2))/(2)-kx+1 such that f(0)=0 and f(3)=15. The va...

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  14. Consider f'(x)=(x^(2))/(2)-kx+1 such that f(0)=0 and f(3)=15. f''(-(...

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  15. What is int(dx)/(sqrt(x^(2)+a^(2))) equal to

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  16. The integral int (dx)/(acosx+bsinx) is of the form (1)/(r )ln[tan((x+a...

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  17. The integral int (dx)/(acosx+bsinx) is of the form (1)/(r )ln[tan((x+a...

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  18. What is int(xe^(x)dx)/((x+1)^(2)) equal to ? Where. C is the constan...

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  19. Consider the function f''(x)=sec^(4)x+4 with f(0)=0 and f'(0)=0 What...

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  20. Consider the function f''(x)=sec^(4)x+4 with f(0)=0 and f'(0)=0 What...

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