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48/(pi^4) int0^pi ((3pi)/2x^2-x^3)sinx/(...

`48/(pi^4) int_0^pi ((3pi)/2x^2-x^3)sinx/(1+cos^2x)dx`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If veca*vecb=1 , vecb*vecc=2 & vecc*veca=3 then [(veca xx(vecb xx vecc...

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  2. If sin^2 10^@ xx sin 20^@ xx sin 40^@ xx sin 50^@ xx sin 70^@ = alpha ...

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  3. 48/(pi^4) int0^pi ((3pi)/2x^2-x^3)sinx/(1+cos^2x)dx

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  4. Sum of the cube of the roots of the equation x^4-3x^3-2x^2+3x+1=0 is e...

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  5. If f(x)=2cos^-1x+4cot^-1x-3x^2-2x+10 the range of f(x) is [a,b] then t...

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  6. Let common tangent to x^2+y^2=9/4 and y^2=4x meets x-axis at point Q ....

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  7. Find cos^-1(3/10 cos (tan^-1(4/3)+2/5sin(tan^-1(4/3)))

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  8. If [.^40C0+.^41C1+.^42C2+ . . .+.^60C20]=m/n.^60C20 and m & n are copr...

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  9. If l1 is the tangent to the hyperbola x^2/9-y^2/4=1 and l2 is a straig...

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  10. lim(x to 0) (cos(sinx)-cosx)/x^4 is equal to

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  11. Find the area bounded by y^2=8x and y^2=16(3-x)

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  12. If function f:R to R , f(x)=x-1 and g(x)=x^2/(x^2+1) then fog is

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  13. If p and q are real number and p+q=3 , p^4+q^4=369 then the value of (...

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  14. z^2+z+1=0 , z in CC. Find abs(sum(k=1)^15(z^k+1/z^k)^2)=

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  15. Evaluvate 16 sin20^@ sin40^@ sin80^@

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  16. If x dy/dx+2y=xe^x where y(1)=0 then value of local maxima of z(x)=x^2...

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  17. 24/piint0^sqrt2 (2-x^2)/((2+x^2)(sqrt(4+x^4)))dx

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  18. r is an element of (p,q,~p,~q) p vv r to (p wedge q) vv r is a tautol...

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  19. int 1/x sqrt((1-x)/(1+x))dx=g(x)+c then find the value of g(1/2)

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  20. If A=sum(n=1)^oo 1/(3+(-1)^n)^n and B=sum(n=1)^oo (-1)^n/(3+(-1)^n)^n ...

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