C4 Integration

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  • Created by: Harriet
  • Created on: 03-05-12 11:20

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Learn:

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In formula book:

Ssec^2kx

Stanx

Scotx

Scosecx

Ssecx

Trapezium rule (C2)

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Either 1 or 2 with x --> ax + b:

Eg: Ssec4xtan4x dx

Eg: Se^4x

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Multiplying out:

Eg: Sx(x+2) dx

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Parts (Work out u, du/dx, v, dv/dx, and bounds):

Eg: S xsinx dx

Eg: Sx^2 sinx dx (use parts twice)

Eg: S lnx dx = S(1) X (lnx) dx

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Top is bottom differentiated (nearly):

Goes to lnx + C

Eg: S (x) / (x^2 + 1) dx  

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Divide or split up:

Eg: S (x+1) / (x+4) dx

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Partial Fractions:

Eg: S (4x + 19) / (x+1)(x+4) dx

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Volume of Revolution

(http://i1161.photobucket.com/albums/q504/harrietgj1/volumeofrevolution.png)

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