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The value of fe^(x)(x^(2)tan^(-1) x + t...

The value of `fe^(x)(x^(2)tan^(-1) x + tan^(-1) x + 1)/(x^(2) + 1) dx` is equal to

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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2016-QUESTION BANK
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  2. int(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x+cos^(1000)x) is equal to

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  3. The value of fe^(x)(x^(2)tan^(-1) x + tan^(-1) x + 1)/(x^(2) + 1) dx ...

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  4. The 11^(th) term in the expansion of (x+(1)/(sqrt(x)))^(14) is

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  5. The general solution of cot theta + tan theta = 2 is

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  6. If A = [{:(cos 2thet,,-sin 2theta),(sin 2theta,, cos 2theta):}] and A ...

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  7. If A is matrix of order m xx n and B is a matrix such that AB' and B'A...

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  8. The value of 1sin^(-1)(cos(53pi)/(5)) is

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  9. If 2 vec a . vec b = |vec a|.|vec b| then the between vec a and vec b ...

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  10. If 1 + sin theta + sin^(2)theta + … upto oo 2sqrt(3) + 4, then theta =

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  11. The function f(x) = [x] where [x] is the greatest integer function is ...

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  12. Let f: R rarrR be defined by f(x)=2x+6 which is bijective mapping then...

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  13. If cos alpha, cos beta, cos gamma are the direction cosines fo a vecto...

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  14. Write the converse and contrapositive of the statement " If x ...

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  15. The value of int(-pi//4)^(pi//4) sin^(103) x*cos^(101) xdx is

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  16. If a = 3,b = 4, c = 5 each one of vec a, vec b and vec c is perpendicu...

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  17. Suppose vec a + vec b + vec c = 0, |vec a| = 3, |vec b| = 5, |vec c| =...

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  18. If x^(y) = e^(x-y) then (dy)/(dx) is equal to

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  19. If P(AnnB)=7//10andP(B)=17//20, where P stands for probability then P(...

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  20. Find a value of "x"for which x( hati + hatj+ hatk) is a uni...

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