JEE Main Previous Year Questions (2026): Indefinite Integral

[JEE Main MCQs]

Q1: The integral  is equal to : (where C is a constant of integration)
(a)
(b)
(c)
(d)
Ans: (c)



Q2: The integraldx is equal to (where c is a constant of integration)
(a)
(b)
(c)
(d)
Ans: (a)



Q3: The integralis equal to : (where c is a constant of integration)
(a)
(b)
(c)
(d)
Ans: (b)


Here C is integral constant.

Q4: The value of the integral

(a)
(b)
(c)
(d)
Ans: (c)



Q5: If where c is a constant of integration, then the ordered pair (a, b) is equal to :
(a) (-1, 3)
(b) (1, 3)
(c) (1, -3)
(d) (3, 1)
Ans: (b)


put sin x + cos x = t
⇒ (cos x - sin x) dx = dt

∴ a = 1 and b = 3

[JEE Main Numericals]

Q6: If αlog_e|1 + tan x| + βlog_e|1-tanx +tan²x|+ γtan^-1+ C when C is constant of integration, then the value of l8(α + β  + γ²) is ___.
Ans: 3





Q7: If  (ux + v log_e(4e^x + 7e^-x))+ C, where C is a constant of integration, then u + v is equal to __________.
Ans: 7


⇒ u + v = 7

Q8: If + C , x > 0 where C is the constant of integration, then the value of 9 (√3a + b) is equal to _____________.
Ans: 15




Q9: If and f(1) = 1/K , then the value of K is
Ans: 4



Q10: For real numbers α, β, γ and δ, if


where C is an arbitrary constant, then the value of 10 (α + βγ + δ) 10  is equal to __________.
Ans: 6