hello student,

Your syllabus for JEE MAIN mathematics from the INTEGRAL CALCULUS part are:

• Integral as an anti - derivative
• Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions.
• Integration by substitution, by parts and by partial fractions.
• Integration using trigonometric identities.
• Integral as limit of a sum.
• Fundamental Theorem of Calculus.
• Properties of definite integrals.
• Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.

check out all the chapters here: https://engineering.careers360.com/articles/jee-main-mathematics-syllabus