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SS3: MATHEMATICS - 2ND TERM

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  1. Matrices I | Week 1
    6 Topics
  2. Matrices II | Week 2
    1 Topic
    |
    1 Quiz
  3. Commercial Arithmetic | Week 3
    7 Topics
    |
    1 Quiz
  4. Coordinate Geometry | Week 4
    8 Topics
    |
    1 Quiz
  5. Differentiation of Algebraic Expressions | Week 5 & 6
    7 Topics
  6. Application of Differentiation | Week 7
    4 Topics
    |
    1 Quiz
  7. Integration | Week 8
    8 Topics
    |
    1 Quiz



Lesson 7, Topic 1
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Introduction – Integration

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Integration is the reverse process of differentiation. When we differentiate we start with an expression and proceed to find the derivative. When we integrate, we start with the derivative and then find the expression from which it has been derived.

For Example, \( \scriptsize y = x^4,\normalsize \frac{dy}{dx} \scriptsize = 4x^3 \)

Therefore, the integral of \( \scriptsize 4x^3\) with respect to x is written as \( \scriptsize \int 4x^3 dx = x^4 \)

The symbol \( \scriptsize \int f(x) dx \)denotes the integral of f(x) with respect to the variable x;

The symbol \( \scriptsize \int \)was developed from the capital letter S. The expression to be integrated is called the integrand

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