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The value of the integral int-2^(2) |1...

The value of the integral `int_-2^(2) |1-x^2|dx` is

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RESONANCE DPP-JEE MAINS-All Questions
  1. Lim(x rarr 0^+) ((pi/2-cot^(-1){x})x)/("sgn"x-cosx) (where {.} and sgn...

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  2. int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4

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  3. The value of the integral int-2^(2) |1-x^2|dx is

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  4. Prove that int0^2|x^2+2x-3|dx=4

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  5. Let image of the line (x-1)/3=(y-3)/5=(z-4)/2 in the plane 2x-y+z+3=0 ...

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  6. Show that sin^(- 1)(sin((33pi)/7))+cos^(- 1)(cos((46pi)/7))+tan^-1(-ta...

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  7. If [dot] denotes the greatest integer function, then (lim)(xvec0)x/...

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  8. prove "lim"(xvecoo)(ln x)/([x])="lim"(xvecoo)([x])/(ln x) where [.]...

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  9. In which of the following function, range is not singleton set f(x)...

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  10. If A is domain of f(x)=lntan^(-1)((x^3-6x^2+11 x-6)(x)(e^x-5) and B is...

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  11. Let tan(2pi|sintheta|)=cot(2pi|costheta|) , where theta in R and f(x)...

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  12. The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L1: x...

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  13. If A=([a(i j)])(3x3') such that a(i j)={2,,i=j0,i!=j ,t h e n |A|=8 ...

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  14. Which of the following intervals is possible domain of the function...

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  16. The set of values of lambda for which the vectors vec a=(lambda(log)2...

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  17. Which of the following is true?

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  18. Show that the substitution z=ln(tan(x/2)) changes the equation (d^2y)/...

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  19. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

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  20. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x)=f(x1+x2) (b)f(x+...

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