10 JEE Main 2023 Indefinite Integration previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 previous-year questions from the Indefinite 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 Indefinite Integration chapter hub.
The integral ∫ x 2 x + 2 x x log 2 x   d x is equal to
Let f x = ∫ d x 3 + 4 x 2 4 - 3 x 2 ,   x < 2 3 . If f 0 = 0 and f 1 = 1 α β tan - 1 α &#…
If ∫ sec   2 x - 1 d x = α   log e cos   2 x + β + cos   2 x 1 + cos 1 β x + c…
Let I x = ∫ x + 7 x   d x and I 9 = 12 + 7 log e 7 . If I 1 = α + 7 log e 1 + 2 2 , then α 4 is eq…
∫ 0 ∞ 6 e 3 x + 6 e 2 x + 11 e x + 6 d x =
If I x = ∫ e sin 2 x cos x   sin 2 x - sin x d x and I 0 = 1 , then I π 3 is equal to
Let I x = ∫ x + 1 x 1 + x e x 2 d x ,   x > 0 . If lim x → ∞ I x = 0 then I 1 is equal to
For α , β , γ , δ ∈ ℕ , if    ∫ x e 2 x + e x 2 x log e x d x = 1 α…
Let I x = ∫ x 2 x   sec 2 + tan x ( x   tan x + 1 ) 2 d x If I 0 = 0 , then I π 4 is equal to
Let f x = ∫ 2 x x 2 + 1 x 2 + 3 d x . If f 3 = 1 2 log e 5 - log e 6 , then f 4 is equal to