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Find the integral of: sin^4(x)*cos(x)dx

This is a standard integral of the type f'(x)*f(x) n . To find the solution, we trial d/dx(f(x) n+1 ). d/dx(sin 5 (x)) = 5sin 4 (x)cos(x). this looks similar to the integral we were asked to solve, apart fro...
Answered by • Maths tutor
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Solve the Simultaneous Equation: 7x + 8y = 32, x - 4y = 8

7x + 8y = 32 (let this be equation [1])x - 4y = 8 (let this be equation [2]) Make x the subject in equation [2] => x = 8 +4y (let this be equation [3])Sub [3] into [1] 7x + 8y = 32 => 7(8 + 4y) +8y = 3...
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Answered by Bradleey C. • Maths tutor
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( 9x3) + (18 /3)

(9 x 3) + (18 / 3) BIDMAS B rackets I ndices D ivide M ultiply A dd S ubtract Brackets first(9 x 3) = 27(18 / 3) = 6 Now add27 + 6 = 33
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Answered by Sarah B. • Maths tutor
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Factorise x^2 +2x+1 to the form (x+a)(x+b)

To factorise a quadratic of this form find a pair of numbers which multiply to produce the last term and add to make the middle term.In this case 1x1 = 1 and 1+1=2 so a and b will be the same number.(x+1)(x+1)
MA
Answered by Mohammed A. • Maths tutor
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For the function given by f(x) = x² - 5x - 6, solve for f(x)=0 by factorising.

This is a very common question for GCSE maths students and the idea of a quadratic comes up very often in other forms too.To factorise this equation we need to find two numbers whose sum is -5 and whose prod...
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Answered by Taylor F. • Maths tutor
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