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Beliebte Rechnen-Probleme
fläche x=2+sqrt(y+3),x=2-sqrt(y+3),x=y-1
area
x
=
2
+
√
y
+
3
,
x
=
2
−
√
y
+
3
,
x
=
y
−
1
derivative of (-3x^5+1^3)
d
dx
(
(
−
3
x
5
+
1
)
3
)
integral of x/((sin(x^2))^2)
∫
x
(
sin
(
x
2
)
)
2
dx
(\partial)/(\partial x)(y+xcos(t))
∂
∂
x
(
y
+
x
cos
(
t
)
)
(\partial)/(\partial x)(tan(2x+y))
∂
∂
x
(
tan
(
2
x
+
y
)
)
derivative y=(sqrt(x)-6)/(sqrt(x)+6)
derivative
y
=
√
x
−
6
√
x
+
6
derivative of 8/(x^5)
d
dx
(
8
x
5
)
steigung (0,1),(5,-2)
slope
(
0
,
1
)
,
(
5
,
−
2
)
integral of sqrt((8-x)/(8+x))
∫
√
8
−
x
8
+
x
dx
derivative 4x+6/(7x)
derivative
4
x
+
6
7
x
limit as t approaches 0 of 1/(t+1)
lim
t
→
0
(
1
t
+
1
)
integral of (x^3+3x)/(x^2+1)
∫
x
3
+
3
x
x
2
+
1
dx
integral of ((ln(x^6)))/x
∫
(
ln
(
x
6
)
)
x
dx
derivative f(x)=(2-3x^3)^{-2}
derivative
f
(
x
)
=
(
2
−
3
x
3
)
−
2
integral from 0 to pi of 9sin^4(3t)
∫
0
π
9
sin
4
(
3
t
)
dt
tangent 6-2e^x
tangent
6
−
2
e
x
limit as x approaches 0 of 2cos(pi/x)
lim
x
→
0
(
2
cos
(
π
x
)
)
integral from 1 to infinity of 1/(x^5)
∫
1
∞
1
x
5
dx
integral of (ln(8x))/x
∫
ln
(
8
x
)
x
dx
derivative of 1/((1+x^2sqrt(1+x^2)))
d
dx
(
1
(
1
+
x
2
)
√
1
+
x
2
)
derivative of sin(x+4/9 cot(x))
d
dx
(
sin
(
x
)
+
4
9
cot
(
x
)
)
limit as x approaches 1 of F(x)
lim
x
→
1
(
F
(
x
)
)
integral of \sqrt[3]{(csc(x))^2cot^3(x)}
∫
3
√
(
csc
(
x
)
)
2
cot
3
(
x
)
dx
integral of 2cos(4x)e^{sin(4x)}
∫
2
cos
(
4
x
)
e
sin
(
4
x
)
dx
derivative 2nd
derivative
2
nd
tangent f(x)=(1+2x)/(3+x),\at x=2
tangent
f
(
x
)
=
1
+
2
x
3
+
x
,
at
x
=
2
(\partial)/(\partial x)(5sqrt(2x)+2y)
∂
∂
x
(
5
√
2
x
+
2
y
)
derivative of y=(5-x)^{63}
d
dx
y
=
(
5
−
x
)
6
3
tangent y=3x^3-x^2+4,(2,24)
tangent
y
=
3
x
3
−
x
2
+
4
,
(
2
,
2
4
)
limit as h approaches+0 of (8^h-1)/h
lim
h
→
+
0
(
8
h
−
1
h
)
derivative (x^2e^x)/(x^2+e^x)
derivative
x
2
e
x
x
2
+
e
x
y^{''}+25y=0
y
′
′
+
2
5
y
=
0
derivative of sqrt(x)sec(1/(sqrt(x)))
d
dx
(
√
x
sec
(
1
√
x
)
)
integral of (x^3)/(sqrt(4x^2+16))
∫
x
3
√
4
x
2
+
1
6
dx
integral of (e^{-3x})/(1-e^{-3x)}
∫
e
−
3
x
1
−
e
−
3
x
dx
inverselaplace 9
inverselaplace
9
limit as x approaches infinity of 3/0
lim
x
→
∞
(
3
0
)
y^'-xy=1
y
′
−
xy
=
1
limit as x approaches 9 of sqrt(x)-1
lim
x
→
9
(
√
x
−
1
)
fläche x^2-2,6-x^2
area
x
2
−
2
,
6
−
x
2
(dx)/(dt)=2+sqrt(x-2t+3)
dx
dt
=
2
+
√
x
−
2
t
+
3
derivative of e^{0.2}
d
dx
(
e
0
.
2
)
(\partial)/(\partial t)(e^{rt})
∂
∂
t
(
e
rt
)
(dy)/(dx)=((4sec(y)))/((x+5)^2)
dy
dx
=
(
4
sec
(
y
)
)
(
x
+
5
)
2
limit as x approaches 4 of 5/(4-x)
lim
x
→
4
(
5
4
−
x
)
integral of e^{1/t}
∫
e
1
t
dt
derivative of (x^2+3x-2^4)
d
dx
(
(
x
2
+
3
x
−
2
)
4
)
limit as x approaches 0 of (tan(6x))/(sin(5x))
lim
x
→
0
(
tan
(
6
x
)
sin
(
5
x
)
)
(\partial)/(\partial x)(x^2+16xw+64w^2)
∂
∂
x
(
x
2
+
1
6
xw
+
6
4
w
2
)
limit as x approaches 3-of (2x+1)/(x-3)
lim
x
→
3
−
(
2
x
+
1
x
−
3
)
limit as x approaches 0-of 4/(5x^{1/3)}
lim
x
→
0
−
(
4
5
x
1
3
)
integral of 5/2
∫
5
2
dx
integral from 1 to infinity of 12e^{-4x}
∫
1
∞
1
2
e
−
4
x
dx
derivative ((t^3)/(t^8+7))^2
derivative
(
t
3
t
8
+
7
)
2
integral of (x+1)ln(2x+4)
∫
(
x
+
1
)
ln
(
2
x
+
4
)
dx
derivative of (1/(x^2-3/(x^4))(x+7x^3))
d
dx
(
(
1
x
2
−
3
x
4
)
(
x
+
7
x
3
)
)
(dy)/(dx)=x(9-y)
dy
dx
=
x
(
9
−
y
)
derivative of (1+sqrt(3x)/(1-sqrt(3x)))
d
dx
(
1
+
√
3
x
1
−
√
3
x
)
limit as x approaches infinity of 9
lim
x
→
∞
(
9
)
derivative-3cos(x)+2sin(x)
derivative
−
3
cos
(
x
)
+
2
sin
(
x
)
derivative of-2sin(xcos(x))
d
dx
(
−
2
sin
(
x
)
cos
(
x
)
)
sum from n=0 to infinity of n*x^n
∑
n
=
0
∞
n
·
x
n
derivative y=sqrt(2x+1)
derivative
y
=
√
2
x
+
1
integral of-2x^{-2}
∫
−
2
x
−
2
dx
d/(dθ)(sin^3(θ))
d
d
θ
(
sin
3
(
θ
)
)
derivative of 10(1-e^{x/2})
d
dx
(
1
0
(
1
−
e
x
2
)
)
derivative of (x^3-2/((x-1)^2))
d
dx
(
x
3
−
2
(
x
−
1
)
2
)
integral of 1/(xsqrt(ln(x)))
∫
1
x
√
ln
(
x
)
dx
derivative of xy^'
d
dx
(
xy
′
)
tangent y=x^4+7x^2-x,(1,7)
tangent
y
=
x
4
+
7
x
2
−
x
,
(
1
,
7
)
integral from 0 to 2 of 2sec((pix)/6)
∫
0
2
2
sec
(
π
x
6
)
dx
taylor 2^x,1
taylor
2
x
,
1
integral of 1/(θ^2)sin(1/θ)cos(1/θ)
∫
1
θ
2
sin
(
1
θ
)
cos
(
1
θ
)
d
θ
d/(dt)(e^{5t})
d
dt
(
e
5
t
)
derivative y=e^{9x}
derivative
y
=
e
9
x
d/(dt)(e^tcos(2t))
d
dt
(
e
t
cos
(
2
t
)
)
derivative x^2ln(x^2)
derivative
x
2
ln
(
x
2
)
limit as x approaches 0 of \sqrt[2x]{a}
lim
x
→
0
(
2
x
√
a
)
derivative y=(5x+4)^3
derivative
y
=
(
5
x
+
4
)
3
1-y^'=cos(y)
1
−
y
′
=
cos
(
y
)
integral from 2 to 3 of 3/(sqrt(3-x))
∫
2
3
3
√
3
−
x
dx
fläche x=0,y=-1+(x^2)/4 ,y=2+x/4
area
x
=
0
,
y
=
−
1
+
x
2
4
,
y
=
2
+
x
4
(\partial)/(\partial x)(-45xy-5x^2y-5xy^2)
∂
∂
x
(
−
4
5
xy
−
5
x
2
y
−
5
xy
2
)
derivative sqrt(-x^2+12x-32)
derivative
√
−
x
2
+
1
2
x
−
3
2
limit as x approaches-2 of |x-2|
lim
x
→
−
2
(
|
x
−
2
|
)
integral of (4)
∫
(
4
)
dx
derivative of ((x^2-4^{3/2})/6)
d
dx
(
(
x
2
−
4
)
3
2
6
)
sum from n=0 to infinity of pi
∑
n
=
0
∞
π
limit as x approaches infinity of 1-5/x
lim
x
→
∞
(
1
−
5
x
)
limit as x approaches 3 of 5x
lim
x
→
3
(
5
x
)
sum from n=0 to infinity of (-1)^nn
∑
n
=
0
∞
(
−
1
)
n
n
integral of 1/((1-6x)^{7/2)}
∫
1
(
1
−
6
x
)
7
2
dx
limit as x approaches 0+of cos(1/x)
lim
x
→
0
+
(
cos
(
1
x
)
)
limit as x approaches 2+of x/(x-2)
lim
x
→
2
+
(
x
x
−
2
)
derivative x^2-4x+24
derivative
x
2
−
4
x
+
2
4
integral of-(4x+10)/(f^2(x)*x^3)
∫
−
4
x
+
1
0
f
2
(
x
)
·
x
3
integral of sin(7x)sin(12x)
∫
sin
(
7
x
)
sin
(
1
2
x
)
dx
derivative of (x^3/(24)+2/x)
d
dx
(
x
3
2
4
+
2
x
)
derivative of cos(xy-3y^4+3)
d
dx
(
cos
(
xy
)
−
3
y
4
+
3
)
(\partial)/(\partial x)(A/(x+sqrt(5)x))
∂
∂
x
(
A
x
+
√
5
x
)
1
..
13
14
15
16
17
..
1823