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The velue of overset(pi/2)underset(0)int...

The velue of `overset(pi/2)underset(0)int (1+cos3x)/(2 cos x-1)dx` is:

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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 67-MATHEMATICS
  1. If 2ysinx(dy)/(dx)=sin2x-y^2 cosx and at x=pi/2,y=1, then

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  2. If int((x^2-x+1)/(x^2+1)).e^(cot^(-1)x)dx=A(x).e^(cot^-1x)+C, where C ...

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  3. The value of x in (0, pi/2) satisfying equation (sqrt5-1)/(sinx)+sqrt(...

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  4. Rectangle ABCD has area 200 sq. unit. An ellipse with area 200 pi. uni...

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  5. Number of solutions of the equations y=1/3[sinx+[sin x + [sin x]]] and...

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  6. If sin^(-1)(2a)/(1+a^2)+sin^-1""(2b)/(1+b^2) then x is =2 ta^-1 x, e...

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  7. If the line 2x+y+k=0 is a mormal to the parabola y^2+8x=0, then the va...

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  8. The coefficient of variation of 10 observations, if the sum of squares...

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  9. The logical proposition (~(~p vv q) vv (p ^^ r)) ^^ (~q ^^ r) is equic...

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  10. The area enclosed by y=g(x)," "x=-3," "x=5 and x-axis where g(x) is th...

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  11. The expansion of (1+x+x^2)^n is a0+a1x+a(2)x^(2)+ … +a(2n)x^(2n). Find...

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  12. If {:[((-1+isqrt3)/(2i),(-1,isqrt3)/(2i)),((i+isqrt3)/(2i),(1 - isqrt3...

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  13. For the quadratic equation 6x^2+11x+3=0, if alpha and beta are the roo...

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  14. if 5f(x)+3f(1/x)=x+2 and y=x f(x), then ((dy)/(dx))(x=1) is equal

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  15. Find the length of PQ such that the tangent at the point P on the circ...

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  16. A 2 xx 2 matrix is fromed with entries from the set {0, 1}, The probab...

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  17. Let f be a function defined on R such that f^'(x)=2018(x-2017)(x-201...

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  18. If 2x=y^(1/3)+y^(-1/3),(x^2-1)y^('')+xy^' =ky k is equal to.

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  19. The velue of overset(pi/2)underset(0)int (1+cos3x)/(2 cos x-1)dx is:

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  20. The lines x+y=0, x-4y=0 and 2x-y=0 are the altitudes of a triangle. If...

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