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Summary calculus-area under a curve

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# Calculus – Area Under the Curve Complete Notes Master **Area Under the Curve** with these clear, organized, and easy-to-follow Calculus notes. Perfect for students who want to understand integration applications, improve problem-solving skills, and prepare for tests or exams. ## What’s Included: * Meaning of area under a curve * Definite integrals explained simply * Finding area between graph and x-axis * Area between two curves * Limits of integration * Positive and negative area concepts * Step-by-step worked examples * Graph interpretation techniques * Common mistakes to avoid * Mixed practice questions with solutions ## Why These Notes? * Clear explanations in simple language * Well-structured and beginner friendly * Great for revision and self-study * Helps build confidence in integration * Perfect for assignments, tests, and exams ## Best For: * High school students * First-year university students * Self-learners studying Calculus Format: Neatly typed, organized, and ready for instant download. Study smarter and confidently solve Area Under the Curve questions with these high-quality notes.

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The Area under a Curve



1. The diagram opposite shows the graph of
y = x2 – 5x.

Calculate the shaded area.




2. The diagram shows the graph of
y = 4x – x2.

Calculate the area between the
curve and the x-axis.




3. The diagram shows part of the graph
of y = 6x + 2x2.

(a) Find the coordinates of A.
(b) Calculate the shaded area.




4. The dagram shows part of the graph of
y = 2x2 – 18.

(a) Calculate the coordinates of P and Q.
(b) Find the shaded area.

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