Topic 8- Integration

Question 1

What is the order for integrating trig

Answer 1

-cos(x)»-sin(x)»cos(x)»sin(x)

Question 2

1/x integrates to

Answer 2

ln(x) +C

Question 3

e^x integrates to

Answer 3

e^x +C

Question 4

sec^2(kx) integrates to

Answer 4

1/k tan(kx) +C

Question 5

tan(kx) integrates to

Answer 5

1/k ln[sec(kx)] +C

Question 6

cot(kx) integrates to

Answer 6

1/k ln[sin(kx)] +C

Question 7

cosec(kx) integrates to

Answer 7

-1/k ln[cosec(kx)+cot(kx)] +C

Question 8

sec(kx) integrates to

Answer 8

1/k ln[sec(kx)+tan(kx)] +C

Question 9

ln x integrates to

Answer 9

x lnx-x +C