Integral Formulas

Question 0

int( sin x ) dx

Answer 0

-cos x + C

Question 1

int( x^n) dx

Answer 1

x^(n+1) / (n+1) + C, (n not equal to 1)

Question 2

int( cos x ) dx

Answer 2

sin x + C

Question 3

int( tan x ) dx

Answer 3

LN(sec x) + C

Question 4

int( e^x ) dx

Answer 4

e^x + C

Question 5

int( 1/x ) dx

Answer 5

LN |x| + C

Question 6

int ( 1/u )du

Answer 6

LN |u| + C

Question 7

int( a^x ) dx

Answer 7

(a^x)/LN(a) + C

Question 8

Integration By Parts

int u*dv =

Answer 8

uv - int vdu

Question 9

int 1/(1+x^2) dx

Answer 9

arctan(x) + C

Question 10

int 1/sqrt(1 - x^2) dx

Answer 10

arcsin(x) + C

Question 11

int sin(ax) dx

Answer 11

-cos(ax)/a + C

Question 12

int cos(ax) dx

Answer 12

sin(ax)/a + C

Question 13

int e^(ax) dx

Answer 13

(1/a)*e^(ax) + C