Domain — Mathematics for the CUET Exam

Common failure modes

These are the patterns that cause most candidates to lose marks on this topic. Recognising them in advance is half the work.

• !Applying integration formulas incorrectly when limits are not given (indefinite vs definite confusion)
• !Forgetting to add the constant of integration in indefinite integrals
• !Making arithmetic errors in matrix multiplication under time pressure

Study tips

• 1Solve all NCERT Class 12 Mathematics exercises — CUET Maths is heavily NCERT-aligned.
• 2Memorise the standard derivative and integral tables for trigonometric, exponential, and logarithmic functions.
• 3Practice the three-step probability approach: identify sample space, favourable outcomes, and simplify the fraction.

Sample CUET Domain — Mathematics questions

These sample items mirror the format and difficulty of real CUET questions. Practice with thousands more on the free Koydo question bank.

1. 1

   ∫ e^x (sin x + cos x) dx equals:

   • Ae^x sin x + CCorrect
   • Be^x cos x + C
   • Ce^x (sin x + cos x) + C
   • D2e^x sin x + C
   Why this answer?

   Using the formula ∫ e^x [f(x) + f'(x)] dx = e^x f(x) + C with f(x) = sin x and f'(x) = cos x, the integral = e^x sin x + C.