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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 (...

SA
Answered by Sarah A. Maths tutor
9369 Views

(a) Factorisefully 3a3b+12a2b2 +9a5b3

3a^2b(a + 4b + 3a^3b^2 ) 

CM
Answered by Claudia M. Maths tutor
3732 Views

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 p...

CM
Answered by Claudia M. Maths tutor
7663 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.

AD
48865 Views

How to solve simultaneous equations?

Let's say we have two equtions: 3x + y = 8 5x + 2y = 14 In order to solve them, we need to bring one of the coefficients to the same number. Let's say we do that with y. So: 6x + 2y = 16    5x + 2y = 14 N...

KW
Answered by Kamila W. Maths tutor
3165 Views

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