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Integrals — Study Plan

MHT-CET · Mathematics

Step-by-step Integrals study plan for MHT-CET Mathematics 2026 — structured month-wise approach to mastering this chapter.

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An illustration showing how integral calculus is used to define and calculate the area of a region bounded by the graph of a function, the x-axis, and vertical lines. Highlight the concept of approxim
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How to Study Integrals

A structured approach to studying Integrals for MHT-CET Mathematics.

Study Plan for Integrals

1

Day 1–2: Learn the Theory

Study the chapter thoroughly. Note down definitions, formulas, and key concepts.

2

Day 3: Practice Problems

Solve practice questions and previous year MHT-CET problems. There are 750 questions available for this chapter.

3

Day 4: Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding.

What to Focus On

  • Integration is the reverse of differentiation
  • ∫f(x)dx represents the antiderivative of f(x)
  • C is the constant of integration (arbitrary constant)

  • ∫xⁿ dx = xⁿ⁺¹/(n+1) + C (n ≠ -1)
  • ∫1/x dx = log|x| + C
  • ∫eˣ dx = eˣ + C

  • Used for integrals of the form ∫f(g(x))·g'(x)dx
  • Choose substitution to simplify the integrand
  • Replace both the function and differential

Common Mistakes to Avoid

When integrating by substitution, students forget to change the limits of definite integrals

Students believe ∫ f(x)g(x) dx = ∫ f(x) dx × ∫ g(x) dx

Students think the constant of integration C is the same for all integrals and can be ignored in definite integrals

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Frequently Asked Questions

What topics are covered in Integrals for MHT-CET?
Integrals is an important chapter in MHT-CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Integration Rules and Standard Forms, Integration by Substitution Method, Integration by Parts, Integration of Rational Functions by Partial Fractions.
How important is Integrals for MHT-CET?
Integrals is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 750 practice questions available for this chapter.
How to prepare Integrals for MHT-CET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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