These lessons, with video lessons, examples and step-by-step solutions, are suitable for A Level Maths to help students answer questions on integration.

**Related Pages**

Integral Calculus

Antiderivative Formulas

More Lessons for A Level Maths

Calculus Lessons

The following diagrams show some examples of Integration Rules: Power Rule, Exponential Rule, Constant Multiple, Absolute Value, Sums and Difference. Scroll down the page for more examples and solutions on how to integrate using some rules of integrals.

**Basic Integration**

How to find antiderivatives, or indefinite integrals, using basic integration rules.

How to integrate a polynomial with the power rule?

How to integrate negative powers of x, fractional powers of x, and radicals/roots

How to integrate x^{-1}, or 1/x, with the log rule How to use algebra to rewrite before integrating,
separate the numerator of a fraction, or expand a product in order to use the power rule.

Basic Trig and Exponential examples that use rules from the Table of Integrals, as well as trig identities.

**Edexcel C1 Core Maths June 2007 Question 9**

The curve C with equation y = f(x) passes through the point (5, 65). Given that f'(x) = 6x^{2} - 10x - 12,

(a) use integration to find f(x).

(b) Hence show that f(x) = x(2x + 3)(x - 4).

(c) In the space provided on page 17, sketch C, showing the coordinates of the points where C crosses the x-axis.

**A-Level Maths Edexcel C1 June 2009 Q3b**

Worked solution to the above core 1 question on integration.

Integrate

y = 2x^{3} + 3/x^{2}, x ≠ 0

**A-Level : Edexcel : C1 June 2008 Q1**

Short question on basic integration.

Integrate 2 + 5x^{2}

**A-Level Edexcel C2 June 2007 Q1**

Worked solution to this question on integration.

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