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Integration by parts - mathcentre.ac.uk
Integration by parts mc-TY-parts-2009-1 A special rule, integrationbyparts, is available for integrating products of two functions. This unit derives and illustrates this rule with a …
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5.6 Using the inverse matrix to solve equations
mathcentre.ac.ukUsing the inverse matrix to solve equations Introduction One of the most important applications of matrices is to the solution of linear simultaneous equations. On this leaflet we explain how this can be done. 1. Writing simultaneous equations in matrix form
Negative and fractional powers - Mathematics resources
mathcentre.ac.ukFractional powers are useful when we need to calculate roots using a scientific calculator. For example to find 7 38 we rewrite this as 381/7 which can be evaluated using a scientific calculator. You may need to check your calculator manual to find the precise way of doing this, probably with
3.6 The hyperbolic identities - mathcentre.ac.uk
mathcentre.ac.uk3.6 The hyperbolic identities Introduction The hyperbolic functions satisfy a number of identities. These allow expressions involving the hyperbolic functions to be written in different, yet equivalent forms. Several commonly used identities are given on this leaflet. 1. Hyperbolic identities coshx = e x+e−x 2, sinhx = ex −e− 2 tanhx ...
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