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The value of int(-pi//4)^(pi//4) sin^(10...

The value of `int_(-pi//4)^(pi//4) sin^(103) x*cos^(101) xdx` is

A

`((pi//4))^(103)`

B

`((pi)/(4))^(101)`

C

2

D

0

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The correct Answer is:
D
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SUNSTAR PUBLICATION-K-CET-MATHEMATICS-2016-MULTIPLE CHOICE QUESTIONS
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  2. The general solution of cot theta + tan theta = 2 is

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

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  4. The length of latus rectum of parabola 4y^(2)+3x+3y+1=0 is

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  5. The value of int(e^(6logx)-e^(5logx))/(e^(4logx)-e^(3logx))dx is equal...

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  6. The differential coefficient of log(10)x with respect to log(x)10 is

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  7. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

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  8. The real part of (1-costheta + I sin theta)^(-1) is

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  9. int(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x+cos^(1000)x) is equal to

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  10. If 1+sin x+sin^(2)x+…………… upto oo=4+2sqrt(3),0ltxltpi and x!=(pi)/2, t...

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  11. underset(xrarr0)lim(xe^(x)-sinx)/(x) is equal to

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  12. If tan^(-1)(x^(2)+y^(2))=alpha then (dy)/(dx) is equal to

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  13. The simplified form of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) is

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  14. The two curves x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0:

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  15. The equation of the normal to the curve y(1+x^(2))=2-x where the tang...

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  16. The maximum value of (1/x)^(x) is

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  17. The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

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  18. The order and degree of the differential equation [1 + ((dy)/(dx))^(2)...

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  19. If veca and vec b are unit vectors, then what is the angle between vec...

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  20. The sum of 1^(st) n terms of the series (1^(2))/(1) + (1^(2) + 2^(2...

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