Integrating Familiar Functions

Question 1

Integral of x^n dx

Answer 1

x^n+1 / (n+1) + c

Question 2

Integral of e^x dx

Answer 2

e^x + c

Question 3

Integral of 1/x dx

Answer 3

ln (x) + c / x should be in modulus brackets

Question 4

Integral of cos x dx

Answer 4

sin x + c

Question 5

Integral of sin x dx

Answer 5

-cos x + c

Question 6

Integral of sec^2(x) dx

Answer 6

tan x + c

Question 7

Integral of cosec(x)cot(x) dx

Answer 7

-cosec x + c

Question 8

Integral of cosec^2(x) dx

Answer 8

-cot x + c

Question 9

Integral of sec(x)tan(x) dx

Answer 9

sec x + c