Lesson Worksheet: Indefinite Integrals: Reciprocal Trigonometric Functions Mathematics

In this worksheet, we will practice finding indefinite integrals of functions that result in reciprocal trigonometric functions.

Q1:

Determine 87𝑥47𝑥+67𝑥𝑥seccostand.

  • A3277𝑥4877𝑥+sinsecC
  • B2247𝑥3367𝑥+sinsecC
  • C3277𝑥4877𝑥+sinsecC
  • D2247𝑥3367𝑥+sinsecC

Q2:

Determine (93𝑥3𝑥)𝑥tansecd.

  • A33𝑥+secC
  • B273𝑥+secC
  • C33𝑥+secC
  • D273𝑥+secC

Q3:

Determine 7𝑥(𝑥5𝑥)𝑥sectansecd.

  • A7𝑥35𝑥+costanC
  • B35𝑥+7𝑥+tansecC
  • C35𝑥+7𝑥+tansecC
  • D35𝑥7𝑥+tansecC
  • E35𝑥+7𝑥+tansecC

Q4:

Determine 5(4𝑥+7)+1𝑥cotd.

  • A54(4𝑥+7)+cotC
  • B14(4𝑥+7)+cscC
  • C5𝑥54(4𝑥+7)+cotC
  • D54(4𝑥+7)+cscC
  • E54(4𝑥+7)+cotC

Q5:

Determine 8𝑥+77𝑥cscd.

  • A788𝑥+77+cotC
  • B878𝑥+77+cotC
  • C878𝑥+77+cscC
  • D878𝑥+778𝑥+77+cotcscC
  • E788𝑥+77+cscC

Q6:

Determine 4(5𝑥6)𝑥secd.

  • A45(5𝑥6)+tanC
  • B20(5𝑥6)+tanC
  • C20(5𝑥6)+tanC
  • D45(5𝑥6)+tanC

Q7:

Determine 10(11𝑥12)𝑥cscd.

  • A1011(11𝑥12)+cotC
  • B1011(11𝑥12)+cotC
  • C10(11𝑥12)+cotC
  • D103(11𝑥12)+cscC

Q8:

Determine 125𝑥𝑥secd.

  • A1255𝑥+tanC
  • B1255𝑥+cotC
  • C1255𝑥+secC
  • D1255𝑥+tanC
  • E5125𝑥+cotC

Q9:

Determine 23𝑥𝑥cscd.

  • A233𝑥+cotC
  • B323𝑥+secC
  • C233𝑥+tanC
  • D323𝑥+cotC
  • E233𝑥+cotC

Q10:

Determine 23𝑥3𝑥𝑥csccotd.

  • A233𝑥+cscC
  • B233𝑥+cscC
  • C323𝑥+cscC
  • D323𝑥+cscC
  • E233𝑥+secC

This lesson includes 21 additional questions and 207 additional question variations for subscribers.

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