5 JEE Main 2012 Definite Integration previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2012 previous-year questions from the Definite Integration chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Definite Integration chapter hub.
If g(x)=∫₀^x 4 t ~d t, then g(x+π) equals
If ^x t f(t) d t= x-x x-(x²)/(2), for all x R-\0\, then the value of f ((π)/(6) ) is
If (d)/(d x) G(x)=eⁿ xx, x (0, π / 2), then ∫₁ / ₄¹ / ² (2)/(x) · eⁿ ⁽ⁱ x^²ⁱght⁾ d x is equal to
If [x] is the greatest integer ≤ x, then the value of the integral ∫₋₀.₉⁰.⁹ ( [x² ]+ ((2-x)/(2+x) ) ) d x is
The value of the integral ∫₀⁰.⁹[x-2[x]] d x, where [.] denotes the greatest integer function is