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What is int((x^(e-1)+e^(x-1)))/(x^(e )+e...

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

A

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

B

`ln(x+e)+c`

C

`ln(x^(e )+e^(x))+c`

D

`(1)/(e )ln(x^(e )+e^(x))+c`

Text Solution

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The correct Answer is:
D
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PUNEET DOGRA-INTEGRATION-Prev year questions
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  2. l(1)=(d)/(dx)(e^(tanx)) l(2)=lim(h to 0)(e^(sin(x+h)-e^(sinx)))/(h) ...

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

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

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

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

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

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

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

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

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

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

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