Maths Integrals

Question 1

Integrate: e^x

Answer 1

e^x + c (for ke^x > k/ke^kx)

Question 2

Integrate 1/x

Answer 2

ln|x| + c (if k/x, factor out = kln|x| + c)

Question 3

Integrate cos x

Answer 3

sin x + c

Question 4

Integrate sin x

Answer 4

-cos x + c

Question 5

Integrate -cos x

Answer 5

-sin x + c

Question 6

Integrate -sin x

Answer 6

cos x + c

Question 7

Integrate sec^2 x

Answer 7

tan x + c

Question 8

Integrate cosec x cot x

Answer 8

-cosec x + c

Question 9

Integrate cosec^2 x

Answer 9

-cot x + c

Question 10

Integrate sec x tan x

Answer 10

sec x + c

Question 11

Integrate (ax+b)^n

Answer 11

1/a ((ax+b)^n+1 / n+1) + c

Question 12

Integrate 1/ax+b

Answer 12

1/a ln|ax+b|+ c

Question 13

Integrate ln x

Answer 13

x ln(x) - x + c