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Popolari Calcoli Problemi
integral from 4 to 16 of e^x
∫
4
1
6
e
x
dx
integral from-1 to 2 of x-6|x|
∫
−
1
2
x
−
6
|
x
|
dx
integral from 3 to 7 of (x^2-9)
∫
3
7
(
x
2
−
9
)
dx
integral from 1 to 8 of 4/x
∫
1
8
4
x
dx
integral from 0 to 1 of x/(2x^2+5x+2)
∫
0
1
x
2
x
2
+
5
x
+
2
dx
integral from 0 to 6 of x-2
∫
0
6
x
−
2
dx
integral from-3 to-1 of (x-5)
∫
−
3
−
1
(
x
−
5
)
dx
integral from-1 to 4 of e^{-x/2}
∫
−
1
4
e
−
x
2
dx
integral from 0 to 2pi of (3+pi|sin(θ)|)
∫
0
2
π
(
3
+
π
|
sin
(
θ
)
|
)
d
θ
integral from-2 to 2 of (-x^2+3)
∫
−
2
2
(
−
x
2
+
3
)
dx
integral from-2 to 8 of x^2
∫
−
2
8
x
2
dx
integral from 1 to t^2 of arctan(u)
∫
1
t
2
arctan
(
u
)
du
integral from 0 to pi of 2sin(t)
∫
0
π
2
sin
(
t
)
dt
integral from-1 to 3 of (1/2 x^2-2x-3)
∫
−
1
3
(
1
2
x
2
−
2
x
−
3
)
dx
integral from 0 to sqrt(4-z^2 of)z
∫
0
√
4
−
z
2
zdz
integral from-infinity to 1 of 1/(1+x^2)
∫
−
∞
1
1
1
+
x
2
dx
integral from-3 to 1 of (x^2-2)-(2x+1)
∫
−
3
1
(
x
2
−
2
)
−
(
2
x
+
1
)
dx
integral from 2 to 5 of 24x^2
∫
2
5
2
4
x
2
dx
integral from 0 to pi/2 of xcos(y)(1-x)
∫
0
π
2
x
cos
(
y
)
(
1
−
x
)
dy
integral from 0 to pi of sin(2x)sin(3x)
∫
0
π
sin
(
2
x
)
sin
(
3
x
)
dx
integral from 0 to 2 of xsqrt(2x)
∫
0
2
x
√
2
x
dx
integral from 5 to 25 of 1/(x(ln(x))^7)
∫
5
2
5
1
x
(
ln
(
x
)
)
7
dx
integral from 0 to 2 of 1/((x+3)^3)
∫
0
2
1
(
x
+
3
)
3
dx
integral from-2 to x of (16t^2-15t)
∫
−
2
x
(
1
6
t
2
−
1
5
t
)
dt
integral from pi/4 to (5pi)/4 of cos(x)
∫
π
4
5
π
4
cos
(
x
)
dx
integral from-2 to 5 of 2/3
∫
−
2
5
2
3
dx
integral from 1 to 1.5 of (2x+3/(2x^2))
∫
1
1
.
5
(
2
x
+
3
2
x
2
)
dx
integral from 1 to 5 of (x+1)(x^2+2x)^2
∫
1
5
(
x
+
1
)
(
x
2
+
2
x
)
2
dx
integral from 0 to pi/4 of cos(x)+1
∫
0
π
4
cos
(
x
)
+
1
dx
integral from-1 to 0 of (2x+5)^3
∫
−
1
0
(
2
x
+
5
)
3
dx
integral from 0 to pi/4 of sec^2(x)e^{tan(x)}
∫
0
π
4
sec
2
(
x
)
e
tan
(
x
)
dx
integral from 2 to x of t^4
∫
2
x
t
4
dt
integral from 3 to 8 of 1
∫
3
8
1
dx
integral from 0 to 1 of (7x^2-4x+6)
∫
0
1
(
7
x
2
−
4
x
+
6
)
dx
integral from-7 to 1 of xsqrt(2-x)
∫
−
7
1
x
√
2
−
x
dx
integral from-1 to 2 of [(x^2)-(x+2)]
∫
−
1
2
[
(
x
2
)
−
(
x
+
2
)
]
dx
integral from 0 to 28 of sqrt(1+9/4 x)
∫
0
2
8
√
1
+
9
4
x
dx
integral from 2 to 5 of sqrt(x/(x+1))
∫
2
5
√
x
x
+
1
dx
integral from 3 to 5 of (x-3)^4(5-x)^2
∫
3
5
(
x
−
3
)
4
(
5
−
x
)
2
dx
integral from-0.1 to 0.9 of-1600x
∫
−
0
.
1
0
.
9
−
1
6
0
0
xdx
integral from 0 to 1 of (x-1)sin(npix)
∫
0
1
(
x
−
1
)
sin
(
n
π
x
)
dx
integral from 1 to 3 of 1/(x+2)
∫
1
3
1
x
+
2
dx
integral from 0 to t of 0
∫
0
t
0
dx
integral from-infinity to 2 of 1/(5-2x)
∫
−
∞
2
1
5
−
2
x
dx
integral from 0 to 2 of (4+x^2)^{3/2}
∫
0
2
(
4
+
x
2
)
3
2
dx
integral from 0 to 3 of (2x^2)
∫
0
3
(
2
x
2
)
dx
integral from 0 to 2 of 500e^{0.05t}
∫
0
2
5
0
0
e
0
.
0
5
t
dt
integral from 0 to 2 of 1/(x^3-x)
∫
0
2
1
x
3
−
x
dx
integral from 2 to 0 of sqrt(x)
∫
2
0
√
x
dx
integral from 4 to 6 of 1/(x^2-4)
∫
4
6
1
x
2
−
4
dx
integral from 0 to 7 of pix
∫
0
7
π
xdx
integral from 0 to 2 of (x^3)/(x^4+1)
∫
0
2
x
3
x
4
+
1
dx
integral from 0 to x of sqrt(1-sin(x))
∫
0
x
√
1
−
sin
(
x
)
dx
integral from 0 to 1/2 of 3x
∫
0
1
2
3
xdx
integral from 1/2 to 2 of (5-5/(x^2))
∫
1
2
2
(
5
−
5
x
2
)
dx
integral from 1 to 2 of x^{-1}+x^2
∫
1
2
x
−
1
+
x
2
dx
integral from 1 to 32 of x^{(-6)/5}
∫
1
3
2
x
−
6
5
dx
integral from 1 to infinity of x*3/(x^4)
∫
1
∞
x
·
3
x
4
dx
integral from 0 to 4 of 1/(36x^2+25)
∫
0
4
1
3
6
x
2
+
2
5
dx
integral from 5 to 15 of x
∫
5
1
5
xdx
integral from 0 to 1 of f(u)
∫
0
1
f
(
u
)
du
integral from 1 to 6 of 8/x
∫
1
6
8
x
dx
integral from-x to x of sqrt(1+t^2)
∫
−
x
x
√
1
+
t
2
dt
integral from 1 to 2 of (3x^2+2x)
∫
1
2
(
3
x
2
+
2
x
)
dx
integral from 0 to 2 of xe^{-(x^2)/2}
∫
0
2
xe
−
x
2
2
dx
integral from 0 to 4 of pi(sqrt(y))^2
∫
0
4
π
(
√
y
)
2
dy
integral from 0 to sqrt(y of)xy^2
∫
0
√
y
xy
2
dx
integral from 1 to 8 of (t^2-4t-12)
∫
1
8
(
t
2
−
4
t
−
1
2
)
dt
integral from 0 to 1 of sqrt(1x+6)
∫
0
1
√
1
x
+
6
dx
integral from 0 to t of tsin(t)
∫
0
t
t
sin
(
t
)
dt
integral from 0 to 2 of xsqrt(1-x^2)
∫
0
2
x
√
1
−
x
2
dx
integral from 0 to θ of x((2x)/(θ^2))
∫
0
θ
x
(
2
x
θ
2
)
dx
integral from-1 to 1 of-x^2+2
∫
−
1
1
−
x
2
+
2
dx
integral from-4 to 2 of (2x)/(3x^2+10)
∫
−
4
2
2
x
3
x
2
+
1
0
dx
integral from 0 to 3 of (sqrt(9-x^2))/3
∫
0
3
√
9
−
x
2
3
dx
integral from 4 to 8 of x^3
∫
4
8
x
3
dx
integral from 1 to infinity of (1/x)^2
∫
1
∞
(
1
x
)
2
dx
integral from 3x to x^3 of e^{-t^2}
∫
3
x
x
3
e
−
t
2
dt
integral from-1 to 0 of-x-x^2
∫
−
1
0
−
x
−
x
2
dx
integral from 1-i to 2i of z^2-6-4iz
∫
1
−
i
2
i
z
2
−
6
−
4
izdz
integral from 1 to 2 of (24x^3+6/(x^2))
∫
1
2
(
2
4
x
3
+
6
x
2
)
dx
integral from 0 to 10 of te^{-0.2t}
∫
0
1
0
te
−
0
.
2
t
dt
integral from-2 to 3 of (x-1)^3
∫
−
2
3
(
x
−
1
)
3
dx
integral from 0 to pi of 4cos^2(t)
∫
0
π
4
cos
2
(
t
)
dt
integral from 13 to 16 of xcos^2(x)
∫
1
3
1
6
x
cos
2
(
x
)
dx
integral from 0 to 2 of cos(t^2)
∫
0
2
cos
(
t
2
)
dt
integral from-1 to 1 of t(8-t)^2
∫
−
1
1
t
(
8
−
t
)
2
dt
integral from 0 to 1 of x/(4+x^2)
∫
0
1
x
4
+
x
2
dx
integral from 2 to 4 of (e^{-x}+x^2+1)
∫
2
4
(
e
−
x
+
x
2
+
1
)
dx
integral from-3 to 5 of (4x+5)^3
∫
−
3
5
(
4
x
+
5
)
3
dx
integral from 0 to 3 of 6e^x
∫
0
3
6
e
x
dx
integral from 0 to 2 of x^2+x-2
∫
0
2
x
2
+
x
−
2
dx
integral from e to 2e of xln(x)
∫
e
2
e
x
ln
(
x
)
dx
integral from 0 to 3 of |x|
∫
0
3
|
x
|
dx
integral from 0 to 2 of (2x^2y+5y^4)
∫
0
2
(
2
x
2
y
+
5
y
4
)
dx
integral from-1 to 1 of x/(cos(x))
∫
−
1
1
x
cos
(
x
)
dx
integral from-1 to 1 of (18)/((x+2)^2)
∫
−
1
1
1
8
(
x
+
2
)
2
dx
integral from-2 to 0 of 3x^3-12x
∫
−
2
0
3
x
3
−
1
2
xdx
integral from-0.5 to 0 of b+2bx
∫
−
0
.
5
0
b
+
2
bxdx
integral from-1 to 1 of (x^5-4x^2+x-1)
∫
−
1
1
(
x
5
−
4
x
2
+
x
−
1
)
dx
1
..
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