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

Prove that `int_0^2|x^2+2x-3|dx=4`

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RESONANCE DPP-JEE MAINS-All Questions
  1. int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4

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

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

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

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

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

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

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  12. 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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  13. Which of the following intervals is possible domain of the function...

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  14. The domain of the function f(x)=1/(sqrt(^(10)C(x-1)-3.^(10)Cx)) conta...

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

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  16. Which of the following is true?

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

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  20. If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...

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