C4 Integration

Learn:

In formula book:

Ssec^2kx

Stanx

Scotx

Scosecx

Ssecx

Trapezium rule (C2)

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

Eg: Ssec4xtan4x dx

Eg: Se^4x

Multiplying out:

Eg: Sx(x+2) dx

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

Top is bottom differentiated (nearly):

Goes to lnx + C

Eg: S (x) / (x^2 + 1) dx  

Divide or split up:

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

Partial Fractions:

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