Integral Calculus in JEE Main: weightage, trend and PYQs (2002–2026)

Integral Calculus has appeared in 555 JEE Main questions between 2002 and 2026. In the last five years it ranks #2 of 18 Mathematics chapters by how often it was asked, with 292 questions.

It is being asked more: about 58.4 questions a year in the last five years, up from 39.4 before that.

Year-wise weightage

Counts are questions per year across all sessions and shifts, so years with more shifts naturally have more.

Difficulty and question type

Of the 555 questions, 21% were easy, 70% medium and 10% hard. 127 were numerical-answer questions, so practise getting exact values, not just eliminating options.

Latest Integral Calculus questions

• JEE Main 2026 · 22 Jan Evening shift: The area of the region A=\(x, y): 4x²+y² ≤ 8 and y² ≤ 4x is:
• JEE Main 2026 · 28 Jan Morning shift: Let f be a polynomial function such that f(x²+1)=x⁴+5x²+2, for all x. Then ∫₀³ f(x) dx is equal to
• JEE Main 2026 · 4 Apr Evening shift: If α=1 and β=1+i 2, where i=√(-1) are two roots of the equation x³+ax²+bx+c=0, a,b,c, then ∫₋₁¹(x³+ax²+bx+c)dx is…
• JEE Main 2026 · 23 Jan Morning shift: The value of the integral ∫ π/24 ^(5π/24)dx/(1+3√(tan 2x)) is:
• JEE Main 2026 · 23 Jan Evening shift: The area of the region enclosed between the circles x²+y²=4 and x²+(y-2)²=4 is:
• JEE Main 2026 · 28 Jan Morning shift: The area of the region R=\(x,y): xy≤ 8, 1≤ y≤ x², x≥ 0 is
• JEE Main 2026 · 21 Jan Morning shift: The area of the region, inside the ellipse x²+4y²=4 and outside the region bounded by the curves y=|x|-1 and y=1-|x|…
• JEE Main 2026 · 23 Jan Evening shift: Let I(x)=∫(3 dx)/((4x+6)(√(4x²+8x+3))) and I(0)=(3)/4+20. If I(1/2)=(a 2)/b+c, where a, b, c, gcd (a, b)=1, then a+b+c…

See all 555 with worked solutions on the Integral Calculus chapter page.