Mathematics · 2026
JEE Main · 23 January 2026, Shift 2 · Q24
The number of elements in the set S ={x: x ∈[0,100] and ∫_0^x t^2 sin (x-t) d t=x^2} is ____
The number of elements in the
$$\text { set } \mathrm{S}=\left\{x: x \in[0,100] \text { and } \int_0^x t^2 \sin (x-t) \mathrm{d} t=x^2\right\} \text { is }
$$
$\displaystyle \_\_\_\_$
Official answer
From NTA’s final answer key for this paper.
16
More from Definite Integration
- The value of the integral ∫_0^2 (√(x(x^2+x+1)))/((√(x+1))(√(x^4+x^2+1))) d x is equal to:2026
- The value of the integral ∫_-1^1((x^3+|x|+1)/(x^2+2|x|+1)) d x is equal to:2026
- Let ∫_-2^2(| sin x|+[x sin x]) d x=2(3- cos 2)+β, where [·] is the greatest integer function. Then β sin ((β)/2) equals:2026
- Let (2^1-a+2^1+a), f(a),(3^a+3^-a) be in A.P. and α be the minimum value of f(a). Then the value of the integral ∫_log_e(α-1)^log_e(α) (d x)/((e^2…2026
- Let f(x)= {1/3, x ≤ π / 2; (b(1- sin x))/((π-2 x)^2), x>π / 2}. If f is continuous at x=π / 2, then the value of ∫_0^3 b-6|x^2+2 x-3| d x is:2026
- The value of the integral ∫_0^∞ (log_e(x))/(x^2+4) d x is:2026
- Let A= [1, 3, -1; 2, 1, α; 0, 1, -1] be a singular matrix. Let f(x)=∫_0^x(t^2+2 t+3) dt, x ∈[1, α]. If M and m are respectively the maximum and the…2026
- The integral ∫_0^1 cot^-1(1+x+x^2) d x is equal to:2026
JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.