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int0^pi (sinx e^cosx)/((1+cos^2x)(e^cosx...

`int_0^pi (sinx e^cosx)/((1+cos^2x)(e^cosx+e^-cosx))dx`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Given that an=19^n-12^n then find the value of (a10-31a9)/(57 a8)

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  2. 1/(2.3^10)+1/(2^2 3^9)+. . .+1/(2^9. 3^2)+1/(2^10 .3^1)=k/(2^10 . 3^10...

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

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  4. Find number of 3 digit odd numbers which are multiple of 7

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  5. If two common tangents of cuves y^2=x and x^2+y^2=2 has slope m1 and m...

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  6. If (a+b)/7=(b+c)/8=(c+a)/9 and a,b,c are the side of triangleABC ,then...

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  7. Circle C touches the line l1=4x-3y+k1=0 , l2=4x-3y+k2=0 where k1 , k2 ...

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  8. f:N to R be a function such that f(x+y)=f(x).f(y) for natural number x...

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  9. f(x)=x^3+x-5 and f(g(x))=x then find the value of g'(63)

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  10. f(x)=x^3+3x^2+2x+9 find point of inflection P(alpha , beta) and calcul...

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  11. If veca and vecb are unit vector and angle between them is theta , fin...

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  12. 1/3,5/9,19/27,65/81 . . . "upto" 100 term , find the GIF of S100

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  13. If g(0,oo) to R is a differentiable function int[(x.(cos-sinx))/(e^x+1...

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  14. f(x) be a polynomial such that f(x)+f'(x)+f''(x)=x^5+64 value of lim(x...

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  15. Z is a point on circle passing points P: (3+4i), Q:(4+3i) and R:(5i) ,...

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  16. How many 3xx3 matrices possible with the elements {-1,0,1} such that...

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  17. (x+1)dy/dx-y=e^(3x)(1+x)^2 , y(0)=1/3 then y((-4)/3) =

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  18. Consider P1 :~(p to ~q) and P2:(p wedge ~q) wedge ((~p) vvq) If p to ...

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  19. If y=y(x) be the solution of given equation y^2dx+(x^2-xy+y^2)dy=0 and...

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  20. If abs(veca)=3 abs(vecb)=4 and theta lies between pi/3 le theta le pi/...

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