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الهندسة
علم المثلثات
قبل التفاضل والتكامل
حساب التفاضل والتكامل
إحصائيات
مسائل حساب التفاضل والتكامل مشهورة
integral from-1/2 to 0 of (2x+1)^{2020}
∫
−
1
2
0
(
2
x
+
1
)
2
0
2
0
dx
integral from 1 to 8 of 2/t
∫
1
8
2
t
dt
integral from 0 to 3 of f(3x)
∫
0
3
f
(
3
x
)
dx
integral from 0 to 1 of b(a^{4k-1})
∫
0
1
b
(
a
4
k
−
1
)
integral from 0 to 2 of 2e^{x^2-3x}
∫
0
2
2
e
x
2
−
3
x
dx
integral from 0 to 4 of x^2*x/8
∫
0
4
x
2
·
x
8
dx
integral from 0 to 4 of 2pix(2sqrt(x))
∫
0
4
2
π
x
(
2
√
x
)
dx
integral from 0 to x^4 of e^{-2t}
∫
0
x
4
e
−
2
t
dt
integral from 1 to 2 of 1/x-x/4
∫
1
2
1
x
−
x
4
dx
integral from 1 to 8 of (10)/x
∫
1
8
1
0
x
dx
integral from-1 to b of x^2(7-x)
∫
−
1
b
x
2
(
7
−
x
)
dx
integral from 0 to 2 of (3x)
∫
0
2
(
3
x
)
dx
integral from 0 to 1 of 2x^2-2
∫
0
1
2
x
2
−
2
dx
integral from-pi to pi of xsin(ax)
∫
−
π
π
x
sin
(
ax
)
dx
integral from 0 to 1 of (x+1/2)^2
∫
0
1
(
x
+
1
2
)
2
dx
integral from 0 to pi of (4e^x+4sin(x))
∫
0
π
(
4
e
x
+
4
sin
(
x
)
)
dx
integral from 2 to 6 of (x-3)
∫
2
6
(
x
−
3
)
dx
integral from 1 to 7 of 4/x-4/(x^2)
∫
1
7
4
x
−
4
x
2
dx
integral from 0 to 20 of pi(sqrt(x))^2
∫
0
2
0
π
(
√
x
)
2
dx
integral from 2 to 0 of x^4-2x^3
∫
2
0
x
4
−
2
x
3
dx
integral from-2 to 2 of 5x
∫
−
2
2
5
xdx
integral from-2 to 4 of x^2+5x-6
∫
−
2
4
x
2
+
5
x
−
6
dx
integral from a to 9a of 1/x
∫
a
9
a
1
x
dx
integral from 0 to 1 of x^2(1+4x^3)^5
∫
0
1
x
2
(
1
+
4
x
3
)
5
dx
integral from 1 to 3 of x^{-1}+x^2
∫
1
3
x
−
1
+
x
2
dx
integral from 0 to 1 of 1/4 x^2
∫
0
1
1
4
x
2
dx
integral from 0 to x of sqrt(6+7t^2)
∫
0
x
√
6
+
7
t
2
dt
integral from 0 to x of |x|
∫
0
x
|
x
|
dx
integral from 0 to infinity of yxe^{-xy}
∫
0
∞
yxe
−
xy
dy
integral from 6 to 136 of sin^2(x)
∫
6
1
3
6
sin
2
(
x
)
dx
integral from 0 to 5 of 12x^2y^3
∫
0
5
1
2
x
2
y
3
dx
integral from 3 to-1 of 1/(x^2)
∫
3
−
1
1
x
2
dx
integral from-infinity to-2 of 1/x
∫
−
∞
−
2
1
x
dx
integral from 0 to 1 of (x^2+8)
∫
0
1
(
x
2
+
8
)
dx
integral from-1 to 3 of (-x^2+5x)-(3x-3)
∫
−
1
3
(
−
x
2
+
5
x
)
−
(
3
x
−
3
)
dx
integral from 0 to 2 of (3+sqrt(2x-x^2))
∫
0
2
(
3
+
√
2
x
−
x
2
)
dx
integral from 0 to pi of 4sin(t)
∫
0
π
4
sin
(
t
)
dt
integral from 0 to ln(3) of x^2e^{3x}
∫
0
ln
(
3
)
x
2
e
3
x
dx
integral from 1 to infinity of 8/(x^3)
∫
1
∞
8
x
3
dx
integral from 0 to 1 of ((cos(x)-1)/x)
∫
0
1
(
cos
(
x
)
−
1
x
)
dx
integral from 0 to 1 of cos^4(x)
∫
0
1
cos
4
(
x
)
dx
integral from 5 to 7 of 4x
∫
5
7
4
xdx
integral from 2 to 6 of e^{-x/2}
∫
2
6
e
−
x
2
dx
integral from 0 to s of s
∫
0
s
sds
integral from 3 to 5 of (2+2x)
∫
3
5
(
2
+
2
x
)
dx
integral from (7pi)/6 to (11pi)/6 of 1/2 ((-6sin(x))^2-(3)^2)
∫
7
π
6
1
1
π
6
1
2
(
(
−
6
sin
(
x
)
)
2
−
(
3
)
2
)
dx
integral from sqrt(3) to x^3 of cos(t^2)
∫
√
3
x
3
cos
(
t
2
)
dt
integral from 0 to 2pi of cos^2(6θ)
∫
0
2
π
cos
2
(
6
θ
)
d
θ
integral from 0 to 1 of (5x+1)e^{5x}
∫
0
1
(
5
x
+
1
)
e
5
x
dx
integral from 1 to 3 of (3x)/(2x^2-6)
∫
1
3
3
x
2
x
2
−
6
dx
integral from-pi to 2pi of sin(x)
∫
−
π
2
π
sin
(
x
)
dx
integral from 0 to 1 of (e^y-1)
∫
0
1
(
e
y
−
1
)
dy
integral from-1 to 0 of (5+sqrt(1-x^2))
∫
−
1
0
(
5
+
√
1
−
x
2
)
dx
integral from 3 to 6 of (5x-25)
∫
3
6
(
5
x
−
2
5
)
dx
integral from 0 to 1 of (e^x+3x-5x^2)
∫
0
1
(
e
x
+
3
x
−
5
x
2
)
dx
integral from 0 to 0.24 of (sin(x))/x
∫
0
0
.
2
4
sin
(
x
)
x
dx
integral from 0 to 1 of ax^3+bx^4
∫
0
1
ax
3
+
bx
4
dx
integral from 0 to 2pi of 6
∫
0
2
π
6
dt
integral from 4 to 5 of (x-4)(5-x)
∫
4
5
(
x
−
4
)
(
5
−
x
)
dx
integral from 1 to 2 of (xe^x)/y
∫
1
2
xe
x
y
dy
integral from 4.3 to 1.2 of 3x+3/5
∫
4
.
3
1
.
2
3
x
+
3
5
dx
integral from 0 to 1 of e^{2y}
∫
0
1
e
2
y
dy
integral from sqrt(3) to 3 of 3/(9+x^2)
∫
√
3
3
3
9
+
x
2
dx
integral from 0 to 8 of 9
∫
0
8
9
dx
integral from 0 to ln(x) of 1
∫
0
ln
(
x
)
1
integral from 0 to 1 of 3-x^2
∫
0
1
3
−
x
2
dx
integral from 1 to 4 of 2^x
∫
1
4
2
x
dx
integral from 0 to infinito of 1
∫
0
infinito
1
dx
integral from-1 to 2 of x^3-x+2
∫
−
1
2
x
3
−
x
+
2
dx
integral from 1 to 3 of x^6ln(x)
∫
1
3
x
6
ln
(
x
)
dx
integral from 1 to cos(x) of 13t^{12}
∫
1
cos
(
x
)
1
3
t
1
2
dt
integral from z^2 to 8-z^2 of z
∫
z
2
8
−
z
2
zdz
integral from 0 to 2a of x
∫
0
2
a
xdx
integral from-2 to 0 of (1-x)
∫
−
2
0
(
1
−
x
)
dx
integral from 6 to 3 of 9x^2-4x+9
∫
6
3
9
x
2
−
4
x
+
9
dx
integral from 0 to 6 of h(x)
∫
0
6
h
(
x
)
dx
integral from 1 to 4 of xe^{-x}-e^{-x}
∫
1
4
xe
−
x
−
e
−
x
dx
integral from-2 to 6 of h(x)
∫
−
2
6
h
(
x
)
dx
integral from 1 to x of 1/(3+t+2t^2)
∫
1
x
1
3
+
t
+
2
t
2
dt
integral from 0 to 8 of 2
∫
0
8
2
dx
integral from-1 to 1 of x^3(5+x^4)^3
∫
−
1
1
x
3
(
5
+
x
4
)
3
dx
integral from-1 to 1 of 1/6 (x+3)
∫
−
1
1
1
6
(
x
+
3
)
dx
integral from 0 to 5 of 5e^x
∫
0
5
5
e
x
dx
integral from 1 to 2 of (x^2-5x)
∫
1
2
(
x
2
−
5
x
)
dx
integral from 0 to a of 6e^x
∫
0
a
6
e
x
dx
integral from 0 to pi/3 of cos(x)-1/2
∫
0
π
3
cos
(
x
)
−
1
2
dx
integral from-1 to 3 of sqrt(4-(x-1)^2)
∫
−
1
3
√
4
−
(
x
−
1
)
2
dx
integral from 0 to 1 of (xarcsin(x^2))
∫
0
1
(
x
arcsin
(
x
2
)
)
dx
integral from 1 to infinity of 7/(x^8)
∫
1
∞
7
x
8
dx
integral from 0 to 1 of (5x^e+8e^x)
∫
0
1
(
5
x
e
+
8
e
x
)
dx
integral of integral of 1
∫
∫
1
dxdx
integral from 0 to 2 of integral from x to 2 of 2y^2sin(xy)
∫
0
2
∫
x
2
2
y
2
sin
(
xy
)
dydx
integral of integral of xy
∫
∫
xydxdy
integral of integral of x
∫
∫
xdxdx
integral from 0 to 2 of integral from 2x to 4 of e^{-x-2y}
∫
0
2
∫
2
x
4
e
−
x
−
2
y
dydx
integral of integral of (x^2+y^2)
∫
∫
(
x
2
+
y
2
)
dxdy
integral of integral of integral of 1
∫
∫
∫
1
integral from 0 to pi of integral from 0 to pi of cos(x+y)
∫
0
π
∫
0
π
cos
(
x
+
y
)
dxdy
integral from pi to 2pi of integral from 0 to pi of (sin(x)+cos(y))
∫
π
2
π
∫
0
π
(
sin
(
x
)
+
cos
(
y
)
)
dxdy
integral from 0 to 2/3 of integral from y to 2-2y of (x+2y)e^{(y-x)}
∫
0
2
3
∫
y
2
−
2
y
(
x
+
2
y
)
e
(
y
−
x
)
dxdy
1
..
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1956
1957
1958
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