Basic Ones / Algebraic Methods
U-Substitution
By Parts
Partial Fractions
You Decide
Wild Card
100
int_(0)^(pi)sin(x)dx
2
100
inte^(5x)dx
1/5e^(5x)+C
100
intx\cdote^xdx
xe^x-e^x+C
100
int(1)/((x+4)(x+1))dx
1/3ln|x+1|-1/3ln|x+4|+C
100
int1/(x^2+1)dx
arctan(x)+C
100
The bowler and the fez are both types of these.
hats
200
int_(2)^(\infty)\frac{1}{x^3}dx
1
200
intsin(ln(x))/(x)dx
-cos(ln(x))+C
200
D
200
\int\frac{3x+1}{x^2-x-6}dx
2ln(x-3)+ln(x+2)+C
200
int(1)/(x^2-1)dx
1/2ln|x-1|-1/2ln|x+1|+C
200
THERE ARE ALLIGATORS IN THIS 1.5 MILLION- SQUARE-MILE NATIONAL PARK AUTHORIZED IN 1934
EVERGLADES NATIONAL PARK
300
int(x^2-4)/(3x)dx
x^2/6-4/3ln|x|+C
300
intsin^2(3x)\cdotcos(3x)dx
1/9sin^3(3x)+C
300
intx\cdotcos(2x)dx
1/2x\cdot sin(2x)+1/4cos(2x)+C
300
int(2)/(x-x^2)dx
2ln|x|-2ln|1-x|+C
300
intx/(x^2+1)dx
1/2ln(x^2+1)+C
300
THIS ACADEMIC NO-NO COMES FROM A LATIN WORD MEANING "KIDNAPPING"
PLAGIARISM