Primitives

Question 1

f(x) = m, F(x) = ?

Answer 1

F(x) = mx +C

Question 2

f(x) = x, F(x) = ?

Answer 2

(x^2)/2 + C

Question 3

f(x) = x^n, F(x) = ?

Answer 3

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

Question 4

f(x) = 1/x, F(x) = ?

Answer 4

Ln(x) + C

Question 5

f(x) = 1/x^2, F(x) = ?

Answer 5

-1/x + C

Question 6

f(x) = 1/sqrt{x}, F(x) = ?

Answer 6

2sqrt{x} + C

Question 7

f(x) = sin(x), F(x) = ?

Answer 7

-cos(x) + C

Question 8

f(x) = cos(x), F(x) = ?

Answer 8

Sin(x) + C

Question 9

f(x) = x^2, F(x) = ?

Answer 9

(x^3)/3 + C

Question 10

f(x) = tan(x), F(x) = ?

Answer 10

-ln|cos(x)| + C

Question 11

f(x) = u’/sqrt{u}, F(x) = ?

Answer 11

2sqrt{u} + C

Question 12

f(x) = u’/u, F(x) = ?

Answer 12

Ln|u| + C