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int(x + sin x)/(1 + cos x) dx=...

`int(x + sin x)/(1 + cos x) dx=`

A

`log_(e) (1 + cos x) +c`

B

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

C

`" tan "(x)/(2) +c`

D

`x " tan "(x)/(2) +c`

Text Solution

Verified by Experts

The correct Answer is:
D
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TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)-Mathematics
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  2. If alpha = lim(x to 0) (x*2^(x)-x)/(1 - cos x) and beta= lim(x to 0) (...

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  3. lim(n to infty) ((1)/(3.7)+(1)/(7.11) +(1)/(11.15)+. . . +(n" terms ")...

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  4. lim(x -> infty) [sqrt(x^(2) +ax +b)-x](a lt 0 lt b)

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  5. If alpha and beta are such that the function f (x) defined by f ...

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  6. If y = sin^(2) (cot^(-1) sqrt((1 +x)/(1 - x))), " then " (dy)/(dx) =

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  7. If a ne b, x ne n pi n in Z and y^(2) = a^(2) cos^(2) x +b^(2) sin^(2)...

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  8. If 2y = 3 x - 1 is a tangent drawn to the curve y^(2) = ax^(3) + b at ...

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  9. A ladder of 5 meters long rests against a vertical wall with the lowe...

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  10. Suppose f''(x) exists for all real x. if f(2) = 2, f(3) = 5 and f(4) =...

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  11. If p and q are respectively the global maximum and global minimum of t...

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  12. int(x + sin x)/(1 + cos x) dx=

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  13. int x^(2) [sqrt(2)((pi)/(4)+x)+e^(x)]dx =

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  14. int(dx)/((x-1)^(2)(x^(2) +1))=

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  15. For n ge 2, if I(n)= int (sin x + cos x)^(n) dx " then " nI(n)-2(n - ...

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  16. lim(n to infty) (sqrt(1)+sqrt(2)+ . . . +sqrt(n))/(n^(3//2))=

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  17. int(0)^(infty)e^(-x)sin^(6) x dx =

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  18. The area (in sq. units) bounded by the curve y=x^(2) +2x +1 and the t...

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  19. The differential equation formed by eliminating a and b from the equat...

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  20. If y = A (x) e^(-intpdx) is a solution of (dy)/(dx) +P(x)y = Q(x) , ...

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