Learning Lab

Antidifferentiation (also called integration) is the opposite operation to differentiation. If you have the differentiation of a function, you can then obtain the original function via integration (...

How do you integrate a polynomial where x is raised to a power? We saw this in the previous section on antidifferentiation. But how do you integrate a linear expression in brackets where the whole...

How do you integrate a logarithm? How do you integrate an exponential function? How do you integrate a trigonometric function?

How do you integrate a logarithm? How do you integrate an exponential function? How do you integrate a trigonometric function?

How do you integrate a logarithm? How do you integrate an exponential function? How do you integrate a trigonometric function?

An area under a curve might be above the axis (and therefore positive). But sections might also be below the axis (and therefore negative).

An expression that is composed of two functions (say an algebraic expression nested within a trigonometric expression) can be complicated to integrate. You can simplify this by substituting a single...

How do you integrate an expression when there is an algebraic expression in the numerator and denominator of a fraction? Integrating using partial fractions helps you to solve this problem.

If you can consider your expression to be a product (i.e. Multiplication x) of two functions, you can integrate this using Integration by parts. This reflects the product rule in...

Integrating will find the area between the curve and the x-axis (horizontal axis). We learned in IN4 Definite integrals how to limit this to a section of the x axis.

Integration is vital in engineering. It is the key mathematical tool for finding the centre of mass or the surface area of a body. Integration is also called antidifferentiation.