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Beliebte Rechnen-Probleme
integral from 2 to 5 of 1/x
∫
2
5
1
x
dx
tangent x^2-1
tangent
x
2
−
1
integral from 1 to 4 of 8sqrt(x)ln(x)
∫
1
4
8
√
x
ln
(
x
)
dx
integral of (x^3+4xy)
∫
(
x
3
+
4
xy
)
dx
integral from 0 to 1 of (x^2+1)(e^{-x})
∫
0
1
(
x
2
+
1
)
(
e
−
x
)
dx
inverslaplace 1/(s^2+4s+8)
inverselaplace
1
s
2
+
4
s
+
8
derivative g(x)= 3/(sqrt(6x+8))
derivative
g
(
x
)
=
3
√
6
x
+
8
integral of x^2-2x-3
∫
x
2
−
2
x
−
3
dx
(1-2y+x)(dy)/(dx)+y=2x-1
(
1
−
2
y
+
x
)
dy
dx
+
y
=
2
x
−
1
limit as x approaches 2 of e^x+e^{-x}
lim
x
→
2
(
e
x
+
e
−
x
)
integral of sin(1-2x)cos(1+2x)
∫
sin
(
1
−
2
x
)
cos
(
1
+
2
x
)
dx
limit as x approaches 0 of (x^4+3x)/x
lim
x
→
0
(
x
4
+
3
x
x
)
tangent f(x)=x+sqrt(x),\at x=9
tangent
f
(
x
)
=
x
+
√
x
,
at
x
=
9
limit as x approaches-1-of x/(1+x^3)
lim
x
→
−
1
−
(
x
1
+
x
3
)
derivative of (8x^2-5x(13x^2+4))
d
dx
(
(
8
x
2
−
5
x
)
(
1
3
x
2
+
4
)
)
derivative \sqrt[4]{y}
derivative
4
√
y
(\partial)/(\partial x)(ce^{-x}sin(4x))
∂
∂
x
(
ce
−
x
sin
(
4
x
)
)
integral of 3te^t
∫
3
te
t
dt
integral of (x^2)/(sqrt(x^3+3))
∫
x
2
√
x
3
+
3
dx
limit as x approaches pi-of (pi-x)csc(x)
lim
x
→
π
−
(
(
π
−
x
)
csc
(
x
)
)
integral of (sin(x))^2
∫
(
sin
(
x
)
)
2
dx
integral of x^4(x^5+1)^9
∫
x
4
(
x
5
+
1
)
9
dx
derivative of y+3yx^5=0
d
dx
y
+
3
yx
5
=
0
sum from n=1 to infinity of (4/10)^n*3
∑
n
=
1
∞
(
4
1
0
)
n
·
3
fläche x^2,20-x
area
x
2
,
2
0
−
x
derivative of ln(cosh(8x))
d
dx
(
ln
(
cosh
(
8
x
)
)
)
limit as x approaches-1 of 8
lim
x
→
−
1
(
8
)
(d^2)/(dx^2)(x^2e^{-2x})
d
2
dx
2
(
x
2
e
−
2
x
)
integral from 0 to 8 of (8-x)^2
∫
0
8
(
8
−
x
)
2
dx
integral of (cos(t))/(sin^2(t))
∫
cos
(
t
)
sin
2
(
t
)
dt
integral of arcsin(7x)
∫
arcsin
(
7
x
)
dx
(\partial)/(\partial y)(3ycos(pix)+2xz)
∂
∂
y
(
3
y
cos
(
π
x
)
+
2
xz
)
y^'= 3/x (y^2+y),y(4)=2
y
′
=
3
x
(
y
2
+
y
)
,
y
(
4
)
=
2
integral of 1/v
∫
1
v
dv
laplacetransformation 5*e^{-3x}*sin(5x)*x
laplacetransform
5
·
e
−
3
x
·
sin
(
5
x
)
·
x
limit as x approaches 3 of 5-x
lim
x
→
3
(
5
−
x
)
tangent 1/16 tan^2(x)+cos(x)
tangent
1
1
6
tan
2
(
x
)
+
cos
(
x
)
limit as x approaches 1+of 3x
lim
x
→
1
+
(
3
x
)
integral of (x^2+10x-1)/(x^3-x)
∫
x
2
+
1
0
x
−
1
x
3
−
x
dx
integral from 0 to 3 of \sqrt[4]{x}
∫
0
3
4
√
x
dx
integral of-2ysqrt(2-y^2)
∫
−
2
y
√
2
−
y
2
dy
integral from-pi/3 to 0 of 2sec^3(x)
∫
−
π
3
0
2
sec
3
(
x
)
dx
integral from 0 to t of-10e^ssin(t-s)
∫
0
t
−
1
0
e
s
sin
(
t
−
s
)
ds
integral of 1/(p^2+2p)
∫
1
p
2
+
2
p
dp
integral from 0 to 1 of (x+4)(x-5)
∫
0
1
(
x
+
4
)
(
x
−
5
)
dx
inverslaplace (1.6)/(3.2s+1)
inverselaplace
1
.
6
3
.
2
s
+
1
integral of (4x)/(1+2x)
∫
4
x
1
+
2
x
dx
fläche x=y^2,x=y+6
area
x
=
y
2
,
x
=
y
+
6
(\partial)/(\partial s)(scos(t-pi/2))
∂
∂
s
(
s
cos
(
t
−
π
2
)
)
derivative of (-3/(sqrt(x^2+9)))
d
dx
(
−
3
√
x
2
+
9
)
integral of (x^2)/(sqrt(a-x^2))
∫
x
2
√
a
−
x
2
dx
derivative of csc(xcot(x))
d
dx
(
csc
(
x
)
cot
(
x
)
)
f(t)=80e^{-t/(10)}-40t
f
(
t
)
=
8
0
e
−
t
1
0
−
4
0
t
derivative x/(x-7)
derivative
x
x
−
7
integral of (sin^2(x)cos(x))
∫
(
sin
2
(
x
)
cos
(
x
)
)
dx
derivative x^{sqrt(2)}
derivative
x
√
2
fläche f(x)=-x^2+2,g(x)=-x-4
area
f
(
x
)
=
−
x
2
+
2
,
g
(
x
)
=
−
x
−
4
integral of (-2)/(x+1)
∫
−
2
x
+
1
dx
derivative of 1/(cos^2(x))
d
dx
(
1
cos
2
(
x
)
)
sum from n=1 to infinity of n^{-3/2}
∑
n
=
1
∞
n
−
3
2
integral of v^{-4/5}
∫
v
−
4
5
dv
maclaurin e^{-ix}
maclaurin
e
−
ix
integral of 3/((3x-1)ln(3x-1))
∫
3
(
3
x
−
1
)
ln
(
3
x
−
1
)
dx
integral of sin^6(ax)
∫
sin
6
(
ax
)
dx
integral of cos^2(v)
∫
cos
2
(
v
)
dv
integral of (2x+15)e^{0.25x}
∫
(
2
x
+
1
5
)
e
0
.
2
5
x
dx
limit as x approaches infinity of 1^0
lim
x
→
∞
(
1
0
)
fläche 1/4 x^2,2x^2,3-x
area
1
4
x
2
,
2
x
2
,
3
−
x
derivative of arcsin(1-x)
d
dx
(
arcsin
(
1
−
x
)
)
integral of (r^2-10^r+4)/(r^3)
∫
r
2
−
1
0
r
+
4
r
3
dr
integral from 3 to infinity of 1/(x^2+x)
∫
3
∞
1
x
2
+
x
dx
derivative of (3x-2^4)
d
dx
(
(
3
x
−
2
)
4
)
taylor x^7sin(x)
taylor
x
7
sin
(
x
)
integral of 2x(x^2+6)^9
∫
2
x
(
x
2
+
6
)
9
dx
derivative of arcsin(4-3x)
d
dx
(
arcsin
(
4
−
3
x
)
)
integral from 0 to 1/2 of 3/(1+4x^2)
∫
0
1
2
3
1
+
4
x
2
dx
derivative of ((x-5xsqrt(x))/(sqrt(x)))
d
dx
(
(
x
−
5
x
√
x
)
√
x
)
t^2(dy)/(dt)+ty=6
t
2
dy
dt
+
ty
=
6
sum from n=0 to infinity of n/3 (2/3)^n
∑
n
=
0
∞
n
3
(
2
3
)
n
integral of \sqrt[3]{x}-x
∫
3
√
x
−
xdx
integral from 1 to 5 of (sqrt(x^2-1))/x
∫
1
5
√
x
2
−
1
x
dx
integral of 9sin^2(θ)
∫
9
sin
2
(
θ
)
d
θ
derivative (2-x^2)/((2+x^2)^2)
derivative
2
−
x
2
(
2
+
x
2
)
2
derivative of 4x^3ln(x)
d
dx
(
4
x
3
ln
(
x
)
)
tangent f(x)=110x-16x^2,\at x=3.438
tangent
f
(
x
)
=
1
1
0
x
−
1
6
x
2
,
at
x
=
3
.
4
3
8
integral of 6cos(sqrt(7x))
∫
6
cos
(
√
7
x
)
dx
derivative e^{sin(x^2)}
derivative
e
sin
(
x
2
)
limit as x approaches-infinity of (sqrt(2x^2+3))/(2x+3)
lim
x
→
−
∞
(
√
2
x
2
+
3
2
x
+
3
)
limit as x approaches-1 of 3
lim
x
→
−
1
(
3
)
integral of (24x+24)e^{4x^2+8x+b}
∫
(
2
4
x
+
2
4
)
e
4
x
2
+
8
x
+
b
dx
derivative of (x^3+4e^{3x})
d
dx
(
(
x
3
+
4
)
e
3
x
)
integral of e^{x+y^2-z}
∫
e
x
+
y
2
−
z
dx
integral of (ln(-2x))/(5x)
∫
ln
(
−
2
x
)
5
x
dx
limit as t approaches 0 of (e^t-1)/(t^9)
lim
t
→
0
(
e
t
−
1
t
9
)
fläche y=x^2-7,y=6x
area
y
=
x
2
−
7
,
y
=
6
x
6y^{'''}+4y^{''}=0
6
y
′
′
′
+
4
y
′
′
=
0
integral of x/(e^{x^2)}
∫
x
e
x
2
dx
integral of (1+x^2)/(1+x^4)
∫
1
+
x
2
1
+
x
4
dx
(\partial)/(\partial y)(-x^2y)
∂
∂
y
(
−
x
2
y
)
tangent f(x)= 1/(x-1),\at x=-4
tangent
f
(
x
)
=
1
x
−
1
,
at
x
=
−
4
1
..
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1452
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