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Evaluate the integral ∫(sin3x)(cos3x)dx (C4 Integration)

First, we must recognise that the integral is written as a product of two functions which cannot be directly integrated, therefore a trigonometric identity must be used to express this a single function. Sin...
LB
Answered by Leon B. • Maths tutor
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Expand and simplify (x+1)(2x+3).

We first expand the first set of brackets by multiplying each element of it by the second set of brackets so (x + 1)(2x + 3) = (x)(2x + 3) + (1)(2x + 3) = x(2x + 3) + (2x + 3). We can then expand out the fir...
ML
Answered by Matthew L. • Maths tutor
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Solve the following simulatenous equation to find the values of both x and y: 5x+2y=16 and 3x-y=14

x=4, y=-2
JD
Answered by JESSICA D. • Maths tutor
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Solve the simultaneous equations for x and y: 9x-2y=7 4x-2y=2

Using the elimination technique:As we have -2y in both equations we can take the equations away from each other in order to eliminate -2y and create a new linear equation involving only x. this equation woul...
MP
Answered by Mira P. • Maths tutor
4988 Views

3 teas and 2 coffees have a total cost of £7.80; 5 teas and 4 coffees have a total cost of £14.20. Work out the individual cost of one tea and one coffee.

The question can be written algebraically, as:(a) 3t + 2c = 7.80(b) 5t + 4c = 14.20To work out the individual costs, we need to make one of the sets of variables equal. We can do this by multiplying the equa...
CF
Answered by Charlotte F. • Maths tutor
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