Let A= 1 3 -1 2 1 α 0 1 -1 be a singular matrix. Let f(x)=∫₀ˣ(t²+2t+3) dt, x [1,α]. If M and m are respectively the maximum and the minimum values of f in [1,α], then 3(M-m) is equal to:

Integral Calculus: JEE Main 2026 Mathematics question

JEE Main 2026 · 6 Apr, Evening shift · Q17

JEE Main 20266 Apr, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

Let

A=\begin{bmatrix}1&3&-1\\2&1&\alpha\\0&1&-1\end{bmatrix}

be a singular matrix. Let

f(x)=\displaystyle\int_0^x(t^2+2t+3)\,dt

x\in[1,\alpha]

. If M and m are respectively the maximum and the minimum values of

f

[1,\alpha]

, then

3(M-m)

is equal to :

JEE Main 2026 Integral Calculus Question with Solution (6 Apr Evening shift, Q17) | JEE Arc