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Let for x in RR, S0(x)=x,Sk(x)=Ckx+kint(...

Let for `x in RR`, `S_0(x)=x,S_k(x)=C_kx+kint_(0)^xS_(k-1)(t)dt `, where `C_0=1,C_k-=1-int_(0)^(1)S^(k-1)(x) dx ,k ==1,2,3,.....` Then `s_2(3)+6c_2` is equal to ___.

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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  2. Let the equation of plane pssing through the line of intersection of t...

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  3. Let for x in RR, S0(x)=x,Sk(x)=Ckx+kint(0)^xS(k-1)(t)dt , where C0=1,C...

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  4. let alpha be the constant term in the binomial expansion of (sqrtx-(6)...

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  5. The sum to 20 terms of the series 2*2^2-3^2+2*5^2+2*6^2-...... is equa...

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  6. Let m1 and m2 be the slopes of the tangents drawn from the point P(4,...

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  7. Let w=zbarz +k1z+k2iz+lambda(1+i),k1,k2 in RR. Let Re(w)=0 be the circ...

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  8. If S {x in RR : sin^-1((x+1)/(sqrtx^2+2x+2))-sin^-1(x/(sqrt((x)^2+1)))...

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  9. Let veca=3hati+hatj-hatk and vecc= 2hati-3hatj+3hatk . If vecb is a v...

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  11. Let the mean of the data be 5 . If m and sigma^2 are respectively ...

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  12. The number of seven digit positive integers formed using the digits 1,...

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  13. Let N be the foot of perpendicular from the point P(1,-2,3) on the lin...

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  14. Let S = {z in CC : barz =i (z^2 + Re(bar z))} Then sum sum(z in s)|z|^...

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  17. All word , with or without meaning ,are made using all the letters of ...

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