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How would I find the indefinite integral of x*cos(x) dx

Use integration by parts, by setting u=x and cos(x)=dv/dx. The final result should be xsinx + cosx + c.
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Answered by Ed S. • Maths tutor
5043 Views

integrate (4cos^4 x -4cos^2x+1)^1/2

we must integrate (4cos 4 x-4cos 2 x+1) 1/2 factorise first ((2cos 2 x-1) 2 ) 1/2 this becomes (2cos 2 x-1)which equals cos 2xthe integral of cos 2x is1/2 sin 2x + C
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Answered by Dominic W. • Maths tutor
4082 Views

What is the lowest common multiple and the highest common factor of 120 and 150?

To approach a problem like this, we must first break down our number into a multiplication of prime factors (i.e. we can make our number by multiplying numbers 2,3,5,7 etc together). This is best done with a...
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Answered by Dominic W. • Maths tutor
7343 Views

How do you factorise a quadratic equation into the form (x+A)(x+B), for example x²+x-6 =0?

Quadratic equations are always given in the form a x 2 + b x + c . One way of solving (finding values of x) and therefore factorising is to use the quadratic formula which is :x = −b ± √(b 2 − 4ac)/ 2a ,usin...
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Answered by India J. • Maths tutor
3310 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 cost of one tea and the cost of one coffee.

You make simultaneous equations. 1.) 3T+2C=7.82.) 5T+4C=14.2Then you make either the C or the T coefficient equal in both equations. I choose to make the C coefficients the same. So I multiplied equation 1 b...
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Answered by Dan S. • Maths tutor
6743 Views