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If f is a function such that f(-x)=f(x),...

If `f` is a function such that `f(-x)=f(x)`,
then `int_(-a)^af(x)dx`=………….

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MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Show that abs [[1,a,bc],[1,b,ac],[1,c,ab]]=(a-b)(b-c)(c-a)

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  2. If A=[[2,3],[4,-1]] verify that AtimesadjA=absAI

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  3. If f is a function such that f(-x)=f(x), then int(-a)^af(x)dx=………….

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  4. Evaluate int(-pi/2)^(pi/2)cosxdx

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  5. Evaluate int0^1(x^2+1)dx as the limit of a sum.

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  6. Verify mean value theorem for the function f(x)=x^2-4x-3 in the interv...

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  7. Consider the function f(x)=sin^(-1)(2xsqrt(1-x^2)),(-1)/sqrt2lexle1/sq...

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  8. Consider the function f(x)=sin^(-1)(2xsqrt(1-x^2)),(-1)/sqrt2lexle1/sq...

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  9. Show that the lines (x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2 ar...

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  10. (x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2 Find the equation of t...

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  11. (x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2 Show that the above li...

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  12. A coin is tossed 3 times. Find the probability distribution of the num...

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  13. In a circle of radius 2 a square is inscribed as shown in the figure. ...

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  14. If f(x)=sinx,g(x)=x^2,x in R , then find (fog)(x)

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  15. Let u and v be two functions defined on R as u(x)=2x-3 and v(x)=(3+x)/...

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  16. For the symmetric matrix A=[(2,x,4),(5,3,8),(4,y,9)].Find the value of...

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  17. From the symmetric matrix A=[(2,x,4),(5,3,8),(4,y,9)], verify AA' and...

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  18. Find the slope of tangent line to the curve y=x^2-2x+1

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  19. Find the equation of the tangent to the curve y=x^2-2x+1 which is pa...

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  20. If intf(x)dx=logabs(tanx)+C. Find f(x)

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