Welcome to the SUNY New Paltz
INTEGRATION BEE
Sponsored by:
SIAM and AWM Student Chapters at SUNY New Paltz
The Student Association
Department of Mathematics
Z x
+ x dx
2
Z
x +3
dx
x
Z
sin(5x) dx
Z √
3x dx
Z
ln(4) dx
Z
cot(x) tan(x) dx
Z
e −8x dx
Z
(x + 1)(2x + 1) dx
Z
sec2(x) dx
Z
x +1
dx
3x 2
Z
2
2
cos (x) + sin (x) dx
Z
1
dx
ex
Z
(5x + 3)2 dx
Z
cos(x − 1) dx
Z
cosh(x) dx
Z 4
2
dx
x
Z
1
dx
csc(x)
Z
x2 − 1
dx
x +1
Z
1
dx
1−x
Z
e
2 x
dx
Z
cos(x) tan(x) dx
Z
e − ln x dx
Z x
1/2
+
1
x 1/2
dx
Z
sec(x) tan(x) dx
Z
ln e
5x
dx
Z
e 1+x
dx
x
e
Z
sinh(4x) dx
Z
sin (arcsin(x)) dx
Z
sec(x) dx
Z
1
dx
1 + x2
Z
x −3
dx
x 2 − 5x + 6
Z
√
1
dx
2
1−x
Z
√
3
1 + x dx
Z
x2 − 9
dx
2x + 6
Z
csc(x) cot(x) dx
Z
5 − ex
dx
e 2x
Z
x
dx
1 + x2
Z
e x cos (e x − 3) dx
Z
1
dx
x ln(x)
Z
√
x 2 + x 3 dx
2
Z
1 − 2x
dx
x2 − x
Z
cos(x)
dx
sin(x)
Z
xe
−x 2
dx
Z
sin(5x) cos(5x) dx
Z
√
1
dx
x −3
Z
csc(x) tan2(x) dx
Z
1
√
dx
2
4 − 4x
Z
2
1 + tan (3x) dx
Z
√
sinh( x)
√
dx
x
Z
e ln(x)
dx
x
Z
arctan(x)
dx
x2 + 1
Z
x2 + 1
dx
(x 3 + 3x − 3)2
Z
cot(x) (sin(x))3/2 dx
Z
ln(5x)
dx
x
Z
csc2(x)
dx
cot(x)
Z
tan2(x) sec2(x) dx
Z
sin2(x)
dx
2
cos (x)
Z
sin(x) − cos(x)
dx
cos(x) + sin(x)
Z
sec(x) tan(x)
dx
sec(x) − 1
Z
e ln(x)−1 dx
Z
x 2/3
√
1
1+
x 1/3
dx
Z
sin2(x) − cos2(x)
dx
cos(x)
Z
csch(1/x)coth(1/x)
dx
x2
Z
x +1
dx
x2 + 1
Z p
9 + 9 tan2(3x) dx
Z
x +1
dx
x −1
Z
sin(x)
dx
1 + cos2(x)
Z
cos2(x) dx
Z
√
1
dx
2
4−x
Z
cot3(x) dx
Z
ex
√
dx
2x
1−e
Z
xe 2x dx
Z
√
(x + 1) 1 − x dx
Z
2x dx
Z
x sec2(x) dx
Z
cot(x) ln (sin(x)) dx
Z
arctan(x) dx
Z
1
dx
x 2 − 2x + 3
Z
√
3
dx
2
6x − x
Z
1
dx
x2 − 1
Z
1
√
dx
2
2
x 9−x
Z
x2
dx
x +1
Z
1
ln
dx
x
Z
1
dx
2
3/2
(x + 1)
Z
sin(x)
dx
cos(x) + cos2(x)
Z
sec4(x) tan3(x) dx
Z
√ 8
1 + x dx
Z
3 −x 2
x e
dx
Z
tan (arcsin(x)) dx
Z p
2 − 2 cos(x) dx
Z
x3
√
dx
2
4+x
Z
√ sin x dx