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int (e^(x) (x^(2) tan^(-1) x + tan^(-1) ...

`int (e^(x) (x^(2) tan^(-1) x + tan^(-1) x + 1))/( x^(2) + 1) dx ` is

A

`e^(x)tan^(-1)(x+1)+c`

B

`tan^(-1)(e^(x))+c`

C

`e^(x)((tan^(-1)x)^(2))/(2)+c`

D

`e^(x)tan^(-1)x+c`

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FULL MARKS-SAMPLE PAPER - 2-PART - III
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  3. Solve: 2|x+1|-6 le 7 and graph the solution set in a number line.

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  5. Find the sum up to n terms of the series : 1+(6)/(7)+(11)/(49)+(16)/(3...

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  6. Area of the triangle formed by a line with the coordinate axes, is 36 ...

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  7. If A^(T)=((4,5),(-1,0),(2,3)) and B=((2,-1,1),(7,5,-2)) verify that (A...

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  8. For any vector veca prove that |veca xxhati|^(2)+|vecaxxhatj|^(2)+|vec...

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  9. Given y=cos^(-1)((1-x^(2))/(1+x^(2))) find (dy)/(dx)

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  10. A wound is healing in such a way that t days since Sunday the area of ...

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  11. An integer is chosen at random from the first 50 positive integers. Wh...

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  12. If f:R rarr R is defined by f(x)=2x-3 prove that f is a bijection and ...

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  13. If the equations x^(2)-ax+b=0 and x^(2)-ex+f=0 have one root in common...

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  14. A straight line passes through a fixed point (6, 8). Find the locus of...

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  15. Express the matrix A=[(1,3,5),(-6,8,3),(-4,6,5)] as the sum of a symme...

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  16. If y=e^(tan^(-1)x), show that (1+x^(2))y''+(2x-1)y'=0

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  17. Evaluate: int 2sin^(-1)xdx

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  18. A factory has two machines A and B. Machine A produces 40% of items of...

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