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Beliebte Rechnen-Probleme
limit as x approaches 0-of 1/(x^2)
lim
x
→
0
−
(
1
x
2
)
integral of 1/((196-x^2)^{3/2)}
∫
1
(
1
9
6
−
x
2
)
3
2
dx
integral of (5x-12)/(x(x-4))
∫
5
x
−
1
2
x
(
x
−
4
)
dx
integral of ((ln(x))^6)/x
∫
(
ln
(
x
)
)
6
x
dx
laplacetransformation t*e^{-4t}cos(5t)
laplacetransform
t
·
e
−
4
t
cos
(
5
t
)
derivative cot^2(x)
derivative
cot
2
(
x
)
erweitern x^{2/3}(1-x)
expand
x
2
3
(
1
−
x
)
fläche y= 1/x ,(1,4)
area
y
=
1
x
,
(
1
,
4
)
derivative of-e^xsin(y)
d
dx
(
−
e
x
sin
(
y
)
)
integral of ln^2(x+sqrt(x^2+1))
∫
ln
2
(
x
+
√
x
2
+
1
)
dx
tangent f(x)= 1/(x^2),(3, 1/9)
tangent
f
(
x
)
=
1
x
2
,
(
3
,
1
9
)
derivative sin^8(cos(2x))
derivative
sin
8
(
cos
(
2
x
)
)
derivative f(x)=sin(x)+xcos(x)
derivative
f
(
x
)
=
sin
(
x
)
+
x
cos
(
x
)
derivative of 2\sqrt[3]{x^4}
d
dx
(
2
3
√
x
4
)
integral of 9sin^3(x)cos^7(x)
∫
9
sin
3
(
x
)
cos
7
(
x
)
dx
integral from 0 to infinity of x
∫
0
∞
xdx
derivative of axe^{-5x}
d
dx
(
axe
−
5
x
)
integral of 4cot^4(x)
∫
4
cot
4
(
x
)
dx
integral of 4sin(2x)
∫
4
sin
(
2
x
)
dx
derivative of (x+pi^2)
d
dx
(
(
x
+
π
)
2
)
derivative of x^3ln(1+x^2)
d
dx
(
x
3
ln
(
1
+
x
2
)
)
integral from 0 to 3 of (x-2)/(x^2-3x-4)
∫
0
3
x
−
2
x
2
−
3
x
−
4
dx
xy^6y^'=x^7+y^7
xy
6
y
′
=
x
7
+
y
7
integral from 1 to 4 of 5/(x^2+4x+4)
∫
1
4
5
x
2
+
4
x
+
4
dx
(\partial)/(\partial x)(4x^3y^2+1)
∂
∂
x
(
4
x
3
y
2
+
1
)
derivative y=((x^7-4x^3+12x))/(x^3)
derivative
y
=
(
x
7
−
4
x
3
+
1
2
x
)
x
3
limit as x approaches 1+of x^{9/(1-x)}
lim
x
→
1
+
(
x
9
1
−
x
)
derivative 2sin(3pix)
derivative
2
sin
(
3
π
x
)
y^'+2/x y=x,y(1)=0
y
′
+
2
x
y
=
x
,
y
(
1
)
=
0
tangent y=e^x
tangent
y
=
e
x
geradzahligkeit x*tan(x)
parity
x
·
tan
(
x
)
laplacetransformation t*cos(t)
laplacetransform
t
·
cos
(
t
)
derivative of sinh^3(1/x)
d
dx
(
sinh
3
(
1
x
)
)
integral of (sin(x)-6cos(x))
∫
(
sin
(
x
)
−
6
cos
(
x
)
)
dx
integral from 1 to infinity of 2/x
∫
1
∞
2
x
dx
integral of (y^2+1)/y
∫
y
2
+
1
y
dy
derivative of (x^2-3x+4^4)
d
dx
(
(
x
2
−
3
x
+
4
)
4
)
taylor 1/(1-e^x)
taylor
1
1
−
e
x
sum from n=0 to infinity of (3+2n)/(2^n)
∑
n
=
0
∞
3
+
2
n
2
n
sum from n=0 to infinity of 1/(n+13)
∑
n
=
0
∞
1
n
+
1
3
integral of y/((y^2-4)^{2/5)}
∫
y
(
y
2
−
4
)
2
5
dy
tangent f(x)=12x-x^3
tangent
f
(
x
)
=
1
2
x
−
x
3
integral of-cos(nx)
∫
−
cos
(
nx
)
dx
(dy)/(dx)=(x^3+y^3)/(xy^2)
dy
dx
=
x
3
+
y
3
xy
2
integral of 4sqrt(x)+\sqrt[4]{x}
∫
4
√
x
+
4
√
x
dx
integral from 0 to 1/2 of 8x-1/2 x
∫
0
1
2
8
x
−
1
2
xdx
limit as x approaches-2 of x^5+4x^3-5x-2
lim
x
→
−
2
(
x
5
+
4
x
3
−
5
x
−
2
)
(1+cos(x))^'
(
1
+
cos
(
x
)
)
′
integral from 0 to 3 of |x-1|
∫
0
3
|
x
−
1
|
dx
integral from 0 to 1 of sqrt(1+x^2)
∫
0
1
√
1
+
x
2
dx
integral from 0 to 5 of pi(2x)^2
∫
0
5
π
(
2
x
)
2
dx
integral of ((sec^2(x)))/(tan^2(x))
∫
(
sec
2
(
x
)
)
tan
2
(
x
)
dx
derivative of y=(1/(cos^2(x)))
d
dx
y
=
(
1
cos
2
(
x
)
)
limit as x approaches-9 of (8x+72)/(|x+9|)
lim
x
→
−
9
(
8
x
+
7
2
|
x
+
9
|
)
inverslaplace ((2*s))/(s^2+6s+13)
inverselaplace
(
2
·
s
)
s
2
+
6
s
+
1
3
d/(dθ)((-1+cos(θ))sin(θ))
d
d
θ
(
(
−
1
+
cos
(
θ
)
)
sin
(
θ
)
)
integral of x^4(3x^5+1)^9
∫
x
4
(
3
x
5
+
1
)
9
dx
derivative of |x-8|
d
dx
(
|
x
−
8
|
)
limit as x approaches infinity of x^0
lim
x
→
∞
(
x
0
)
taylor x^4
taylor
x
4
sum from n=1 to infinity of 4/3 (5/7)^n
∑
n
=
1
∞
4
3
(
5
7
)
n
integral of 14sin^3(xco)s^2x
∫
1
4
sin
3
(
xco
)
s
2
xdx
integral of x^2-19
∫
x
2
−
1
9
dx
fläche x^2-2,2
area
x
2
−
2
,
2
integral of 2xsec^2(5x)
∫
2
x
sec
2
(
5
x
)
dx
integral of x^2-4x+5
∫
x
2
−
4
x
+
5
dx
limit as x approaches 0-of x/(ln(x))
lim
x
→
0
−
(
x
ln
(
x
)
)
integral of 1/(8x+5)
∫
1
8
x
+
5
dx
derivative of ln({f}(x)*{f}(x)(sin(x)))
d
dx
(
ln
(
f
(
x
)
)
·
f
(
x
)
(
sin
(
x
)
)
)
integral of (-(2x)/(1+x^2))
∫
(
−
2
x
1
+
x
2
)
dx
derivative 24x(3x^2+4)^3
derivative
2
4
x
(
3
x
2
+
4
)
3
integral of 4x+3/(sqrt(x))
∫
4
x
+
3
√
x
dx
inverslaplace cos(2t)
inverselaplace
cos
(
2
t
)
taylor (1-x^2)^{-3/2}
taylor
(
1
−
x
2
)
−
3
2
x^2y^'-x=1+y+xy
x
2
y
′
−
x
=
1
+
y
+
xy
integral from-1 to 3 of (5-1/4 x^3)
∫
−
1
3
(
5
−
1
4
x
3
)
dx
integral of (7x^2)/(1+x^6)
∫
7
x
2
1
+
x
6
dx
(x^2y^2-x^4)y^'=x^2y^2-y^4
(
x
2
y
2
−
x
4
)
y
′
=
x
2
y
2
−
y
4
limit as x approaches-1 of ln(1+x)
lim
x
→
−
1
(
ln
(
1
+
x
)
)
derivative of ln(4x-5)
d
dx
(
ln
(
4
x
−
5
)
)
taylor 1/(1-x-x^2)
taylor
1
1
−
x
−
x
2
derivative sqrt(t)-2
derivative
√
t
−
2
tangent f(x)=x^2+4,\at x=-1
tangent
f
(
x
)
=
x
2
+
4
,
at
x
=
−
1
integral of ((x^2-x+18))/(x^3+3x)
∫
(
x
2
−
x
+
1
8
)
x
3
+
3
x
dx
integral of (3x^4)
∫
(
3
x
4
)
dx
tangent f(x)=sqrt(x-3),\at x=7
tangent
f
(
x
)
=
√
x
−
3
,
at
x
=
7
2ty^'=8y
2
ty
′
=
8
y
derivative of 8ln(sin(x))
d
dx
(
8
ln
(
sin
(
x
)
)
)
integral of e^{6x}(6)
∫
e
6
x
(
6
)
dx
d/(dy)(1/(xy))
d
dy
(
1
xy
)
integral of (6t^3-t^2+24t)/(t^2+4)
∫
6
t
3
−
t
2
+
2
4
t
t
2
+
4
dt
inverslaplace-(5s)/(((s+1)^2+3))
inverselaplace
−
5
s
(
(
s
+
1
)
2
+
3
)
derivative of e^{x^3}y
d
dx
(
e
x
3
y
)
integral of 10x^{3/2}+6sqrt(x)-8
∫
1
0
x
3
2
+
6
√
x
−
8
dx
integral of 5/x+sec^2(x)
∫
5
x
+
sec
2
(
x
)
dx
limit as x approaches 1 of (-3x)/(x-1)
lim
x
→
1
(
−
3
x
x
−
1
)
v'=v^2
v
′
=
v
2
limit as x approaches 2 of 2x^2
lim
x
→
2
(
2
x
2
)
(dx)/(dt)=-x(x+2),x(0)=1
dx
dt
=
−
x
(
x
+
2
)
,
x
(
0
)
=
1
(\partial)/(\partial y)(xe^{yx})
∂
∂
y
(
xe
yx
)
1
..
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539
540
541
542
..
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