Integration ;)

Question 1

x^n

Answer 1

x^n+1 / n+1

Question 2

e^ax+b

Answer 2

e^ax+b / a

Question 3

1 / ax+b

Answer 3

ln|ax+b| / a

Question 4

(ax+b)^n

Answer 4

(1/a) x (a+b)^n+1 / n+1

Question 5

sin kx

Answer 5

-1/k x coskx

Question 6

cos kx

Answer 6

1/k x sinkx

Question 7

tan kx

Answer 7

1/k x ln|sec k𝑥|

Question 8

cot kx

Answer 8

1 / k x ln|sin k𝑥|

Question 9

cosec kx

Answer 9

-1/k x ln|cosec k𝑥 + cot k𝑥|
or
1/k x ln|tan1/2 k𝑥|

Question 10

sec kx

Answer 10

1/k x ln|sec k𝑥 + tan k𝑥|

Question 11

sec^2 kx

Answer 11

1/ k x tan kx

Question 12

sec k𝑥 tan k𝑥

Answer 12

1/k x sec kx

Question 13

cosec^2 kx

Answer 13

-1/k x cot kx

Question 14

cosec kx cot kx

Answer 14

-1/k cosec kx