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Let f(x) be a differentiable function su...

Let `f(x)` be a differentiable function such that `f(x)=x^2 +int_0^x e^-t f(x-t) dt` then `int_0^1 f(x) dx=`

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RESONANCE DPP-JEE MAINS-All Questions
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  2. The function f(x)={ 1-2x+3x^2-4x^3; x!=-1, 1; x=-1} discuss the co...

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  3. Let f(x) be a differentiable function such that f(x)=x^2 +int0^x e^-t ...

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  6. The solution of the equation 7^(logx)-5^(logx+1)=3. 5^(logx-1)-13. 7^(...

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  8. Find the equation of the curve in which the perpendicular from the ori...

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  9. If the difference of the roots of the equation, x^2+p x+q=0 be unity, ...

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  10. If two events Aa n dB are such that P(A^c)=0. 3 ,P(B)=0. 4 ,a n dP...

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  11. If ' a ' is a natural number and ' b ' a digit such that (3a+2007)^2...

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  12. e^xlogy=sin^(-1)x+sin^(-1)y

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  13. Consider an ellipse E ,(x^2)/(a^2)+(y^2)/(b^2)=1 , centered at point O...

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  14. The value of the sum 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+...oo is equal to

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  15. The quadratic equation x^2-9x+3=0 has roots alphaa n dbetadot If x^2-b...

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  16. Statement 1: The range of f(x)=sin^(2)x-sinx+1 is [3/4,oo). Statemen...

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  17. Which of the following are correct? a.(log)3 19.(log)(1//7)3.(log)4 1/...

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  18. Find number of values of complex numbers omega satisfying the system o...

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  19. Make the following expressions free from modulus sign: (x in R) |2x-...

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