INTEGRATION WITH TRIGONMETRICAL FUNCTIONS



INTEGRATION WITH TRIG FUNCTIONS

Match each expression from the columns on the left with its integral from the columns on the right, and write the answers in the table. (It might help to cross out the pairs as you find them)

|A | |

|B | |

|C | |

|D | |

|E | |

|F | |

|G | |

|H | |

|I | |

|J | |

|K | |

|L | |

|M | |

|N | |

|O | |

|P | |

|Q | |

|R | |

|S | |

|T | |

|U | |

|V | |

|W | |

|X | |

|Y | |

|Z | |

|[pic] |[pic] |

A |[pic] |N | |1 |-sinx + c |14 |-sec x +c | |B |[pic] |O |[pic] |2 |-cos x + c |15 |[pic] | |C |[pic] |P |[pic] |3 |[pic] |16 |cos x +c | |D |[pic] |Q |[pic] |4 |[pic] |17 |-(cos 5x)/5 | |E |[pic] |R |[pic] |5 |(5sin6x)/6 + c |18 |[pic] | |F |[pic] |S |[pic][pic] |6 |tan x - x +c |19 |[pic] | |G |[pic] |T |[pic] |7 |cot x+c |20 |sin x+c | |H |[pic] |U |[pic] |8 |[pic] |21 |[pic] | |I |[pic] |V |[pic] |9 |[pic] |22 |[pic] | |J |[pic] |W |[pic] |10 |[pic] |23 |[pic] | |K |[pic] |X |[pic] |11 |secx+c |24 |[pic]-[pic]cos5x + c | |L |[pic] |Y |[pic] |12 |[pic]sin 4x + c |25 |tanx + c | |M |[pic] |Z |[pic][pic] |13 |ln(sinx) +c |26 |ln(secx)+c | |

Solutions to Further Differentiation

A |B |C |D |E |F |G |H |I |J |K |L |M |N |O |P |Q |R |S |T |U |V |W |X |Y |Z | |16 |19 |25 |1 |18 |9 |12 |20 |26 |4 |2 |22 |6 |10 |14 |5 |24 |3 |23 |11 |17 |13 |15 |21 |7 |8 | |

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