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What is inte^(sinx)(xcos^(3)x-sinx)/(cos...

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

A

`(x+secx)e^(sinx)+c`

B

`(x-secx)e^(sinx)+c`

C

`(x+tanx)e^(sinx)+c`

D

`(x-tanx)e^(sinx)+c`

Text Solution

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The correct Answer is:
B
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PUNEET DOGRA-INTEGRATION-Prev year questions
  1. What is int(dx)/(x(x^(2)+1)) equal to ?

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Consider intxtan^(-1)xdx=A(x^(2)+1)tan^(-1)x+Bx+C where , C is the con...

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  15. Consider intxtan^(-1)xdx=A(x^(2)+1)tan^(-1)x+Bx+C where , C is the con...

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  16. What is inte^(e^(x))e^(x) dx equal to ?

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  17. What is intsin^(2)xdx+intcos^(2)xdx equal to ?

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  18. What is int(xcosx+sinx)dx equal to

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

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  20. What is inte^(lnx) dx equal to ?

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