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Answered by Sarah V. • Maths tutor
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What is the indefinite integral of (x^4)*(-sin(x)) dx

Use integration by parts. Let u = x^4 and let dv/dx = -sin(x). Find du/dx = 4x^3 and fin v = cos(x). Use the equation uv - int (v du/dx) = x^4 cos(x) - 4((x^4/4)*(sin(x)) = x^4 cos(x) - x^4 sin(x) = x^4 (cos...
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Answered by Sarah A. • Maths tutor
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(a) Factorisefully 3a3b+12a2b2 +9a5b3

3a^2b(a + 4b + 3a^3b^2 )
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Answered by Claudia M. • Maths tutor
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3. (a) State the nth term of each of the following sequences: (i) 3, 7, 11, 15, 19, ....

4n - 1 Find the difference between the numbers and this decides the number infront of n In the sequence, choose 1 to start - 4n - if n = 4 then this gives you 4 but we need 3 so 4n-1 If we test this and put ...
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Answered by Claudia M. • Maths tutor
8809 Views

Expand and simplify (x+3)(x+5)

The easiest method for expanding these brackets is to use the FOIL method of expansion. This ensures you multiply every aspect of the brackets together. First - take the first terms of the brackets (so, x an...
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Answered by Adam D. • Maths tutor
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