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Let f(x) =int(-2)^xe^((1+t)^2)dt and g(x...

Let `f(x) =int_(-2)^xe^((1+t)^2)dt` and `g(x) = f(h(x))`,where `h(x)` is defined for all `x in R`. If `g'(2) = e^4` and `h'(2)=1` then absolute value of sum of all possible values of `h(2)`, is ___

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. Let tan(2pi|sintheta|)=cot(2pi|costheta|) , where theta in R and f(x)...

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  3. Let f(x) =int(-2)^xe^((1+t)^2)dt and g(x) = f(h(x)),where h(x) is defi...

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  4. If a quadrilateral formed by four tangent to the ellipse 3x^2+4y^2=1...

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  5. int("sin"2"x")/(sin5x sin3x)dx a. 1/3ln|sin3x|+1/5ln|sin5x|+c b. 1/3...

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  6. From a point P, tangents PQ and PR are drawn to the parabola y^(2)=4ax...

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  7. The general solution of differential equation (x^6y^4+x^2)dy=(1-x^5y^5...

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  8. Find the number of common tangents that can be drawn to the circles...

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  9. (lim)(xvecoo)(2. x^(1//2)+3. x^(1//3)+4. x^(1//4)++ndotx^(1//n))/((3x-...

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  10. The equation of a line which is parallel to the line common to the pai...

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  11. f(x)=x^(3)+3x^(2)-33x-33"for "x gt 0 and g be its inverse such that kg...

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  12. If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gam...

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  13. The area bounded by the coordinate axes and the curve sqrt(x) + sqrt(y...

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  14. Consider three quadratic equations, x^2-2r pr x+r=0; r=1,2,3, Given ...

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  15. ABC is an isosceles triangle inscribed in a circle of radius r , if AB...

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  16. If two tangents drawn from the point (a,b) to the parabola y^2=4x be...

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  17. Let S(1),S(2),"…." be squares such that for each n ge 1, the length o...

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  18. The maximum number of equivalence relations on the set A={1,\ 2,\ 3...

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  19. If e, e' be the eccentricity of two conics S=0 and S'=0 and if e^2+e'^...

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  20. Consider : Statement I: (p^^~q)^^(~p^^q) is a fallacy Statement ...

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