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Popolari Calcoli Problemi
derivative 1-xsqrt(x)
derivative
1
−
x
√
x
(\partial)/(\partial z)(ycos(z))
∂
∂
z
(
y
cos
(
z
)
)
derivative 3x+sqrt(3x)
derivative
3
x
+
√
3
x
area (y^2)/2 =x,x=2y
area
y
2
2
=
x
,
x
=
2
y
integral of 5(9x-4)^4
∫
5
(
9
x
−
4
)
4
dx
integral of (10^x-1/(sqrt(x)))
∫
(
1
0
x
−
1
√
x
)
dx
derivative of x^2+6x+10
d
dx
(
x
2
+
6
x
+
1
0
)
integral of 6x^4-6x^3+5x^2+C
∫
6
x
4
−
6
x
3
+
5
x
2
+
Cdx
inversalaplace (50)/(1-3s^2)
inverselaplace
5
0
1
−
3
s
2
(\partial)/(\partial x)(s^8t+st^{-6})
∂
∂
x
(
s
8
t
+
st
−
6
)
pendenza 5xy^5+8xy=39,(3,1)
slope
5
xy
5
+
8
xy
=
3
9
,
(
3
,
1
)
integral from 1 to 3 of 3/(x^2+4x+4)
∫
1
3
3
x
2
+
4
x
+
4
dx
derivative sin(θ)+θcos(θ)
derivative
sin
(
θ
)
+
θ
cos
(
θ
)
limit as x approaches 0 of (3x^2+3)/3
lim
x
→
0
(
3
x
2
+
3
3
)
maclaurin f(x)=sin(8x)
maclaurin
f
(
x
)
=
sin
(
8
x
)
derivative x^pipi^x
derivative
x
π
π
x
derivative f(x)=4x^{3/5}
derivative
f
(
x
)
=
4
x
3
5
integral from-9 to 9 of sqrt(58)
∫
−
9
9
√
5
8
limit as x approaches 0 of (x+3)/x
lim
x
→
0
(
x
+
3
x
)
limit as x approaches infinity of ln(0)
lim
x
→
∞
(
ln
(
0
)
)
integral of (sin^2(x)+cos^2(x))
∫
(
sin
2
(
x
)
+
cos
2
(
x
)
)
dx
tangent x^2+xy-y^2=-1,(3,5)
tangent
x
2
+
xy
−
y
2
=
−
1
,
(
3
,
5
)
semplificare (4x^2+4x+8)/(sqrt(x))
simplify
4
x
2
+
4
x
+
8
√
x
integral of e^{12x}(12)
∫
e
1
2
x
(
1
2
)
dx
derivative f(x)=3x^2cos(x)+8x
derivative
f
(
x
)
=
3
x
2
cos
(
x
)
+
8
x
limit as x approaches 0+of (sin(x))^x
lim
x
→
0
+
(
(
sin
(
x
)
)
x
)
integral of cot^3(3x)
∫
cot
3
(
3
x
)
dx
taylor x^2e^{-x}
taylor
x
2
e
−
x
derivative of (-2/(9x^{5/3)})
d
dx
(
−
2
9
x
5
3
)
integral from 6 to 7 of x/(x^2+4x+13)
∫
6
7
x
x
2
+
4
x
+
1
3
dx
(\partial)/(\partial y)(7(x+5y-4)^2)
∂
∂
y
(
7
(
x
+
5
y
−
4
)
2
)
integral from-2 to 2 of (4x^3+6x^2-8x+5)
∫
−
2
2
(
4
x
3
+
6
x
2
−
8
x
+
5
)
dx
integral of 2400xsqrt(3+2x)
∫
2
4
0
0
x
√
3
+
2
x
dx
integral from 0 to 1 of (2x)/(x^2+1)
∫
0
1
2
x
x
2
+
1
dx
inversalaplace s/(1+s)
inverselaplace
s
1
+
s
integral of x/(\sqrt[3]{x^2+1)}
∫
x
3
√
x
2
+
1
dx
integral of 1/(sqrt(484+x^2))
∫
1
√
4
8
4
+
x
2
dx
5(dy)/(dx)+45y=9
5
dy
dx
+
4
5
y
=
9
derivative of x^2cos(yy^')
d
dx
(
x
2
cos
(
y
)
y
′
)
f(x)=2cos(3x)
f
(
x
)
=
2
cos
(
3
x
)
derivative of 1-e^{2x}
d
dx
(
1
−
e
2
x
)
y^{''}+3y^'-28y=0
y
′
′
+
3
y
′
−
2
8
y
=
0
y^'=-y^3,y(0)=1
y
′
=
−
y
3
,
y
(
0
)
=
1
integral of 1/(x^2)+x
∫
1
x
2
+
xdx
derivative of x^{{z}(x})
d
dx
(
x
z
(
x
)
)
limit as x approaches 2-of 3x+6
lim
x
→
2
−
(
3
x
+
6
)
(\partial)/(\partial y)(xcos(xy))
∂
∂
y
(
x
cos
(
xy
)
)
(\partial)/(\partial y)(x^2+xy-25)
∂
∂
y
(
x
2
+
xy
−
2
5
)
integral of 2y-1
∫
2
y
−
1
dy
y^'+y=2te^{-t}+t^2
y
′
+
y
=
2
te
−
t
+
t
2
derivative of (2x^4-3x^3)
d
dx
(
(
2
x
4
−
3
x
)
3
)
integral of 3/8
∫
3
8
dx
integral of (2x)/((x^2-1))
∫
2
x
(
x
2
−
1
)
dx
derivative f(x)=(x^2)/(4+x)
derivative
f
(
x
)
=
x
2
4
+
x
y^'+7y=9
y
′
+
7
y
=
9
integral of (8xln(x))
∫
(
8
x
ln
(
x
)
)
dx
limit as x approaches infinity of 3x+2
lim
x
→
∞
(
3
x
+
2
)
d/(dy)(sqrt(y/2))
d
dy
(
√
y
2
)
integral from 0 to 2 of x*1/2 (2-x)
∫
0
2
x
·
1
2
(
2
−
x
)
dx
derivative of 6x^3e^{-x}
d
dx
(
6
x
3
e
−
x
)
derivative f(x)=3sqrt(x)ln(x)
derivative
f
(
x
)
=
3
√
x
ln
(
x
)
tangent 1/3 x^3-7x+5
tangent
1
3
x
3
−
7
x
+
5
sum from n=1 to infinity of (x^n)/(2^n)
∑
n
=
1
∞
x
n
2
n
limit as x approaches 0 of (f(x))/(g(x))
lim
x
→
0
(
f
(
x
)
g
(
x
)
)
integral of (a+bx^3)/(sqrt(4ax+bx^4))
∫
a
+
bx
3
√
4
ax
+
bx
4
dx
d/(d{z)}(({x)/y}{{z}})
d
d
z
(
x
y
z
)
integral of (3sin(t)cos^2(t))
∫
(
3
sin
(
t
)
cos
2
(
t
)
)
dt
integral from 0 to 5 of (18)/(\sqrt[4]{3x+1)}
∫
0
5
1
8
4
√
3
x
+
1
dx
integral of xcos(5pi)x^2
∫
x
cos
(
5
π
)
x
2
dx
integral of (9x-18)/(x^3-2x^2-x+2)
∫
9
x
−
1
8
x
3
−
2
x
2
−
x
+
2
dx
(dy)/(dx)=(xy+5x-y-5)/(xy-2x+6y-12)
dy
dx
=
xy
+
5
x
−
y
−
5
xy
−
2
x
+
6
y
−
1
2
derivative of (x^2+5x+1{f}(x)(sin(3x)))
d
dx
(
(
x
2
+
5
x
+
1
)
f
(
x
)
(
sin
(
3
x
)
)
)
integral of x^2*sqrt(x-2)
∫
x
2
·
√
x
−
2
dx
integral of (7cos^5(x))/(sqrt(sin(x)))
∫
7
cos
5
(
x
)
√
sin
(
x
)
dx
integral of 5xln(6x)
∫
5
x
ln
(
6
x
)
dx
derivative y=x^3+4
derivative
y
=
x
3
+
4
derivative of cos^2(sin(5e^x-16^x))
d
dx
(
cos
2
(
sin
(
5
e
x
−
1
6
x
)
)
)
integral of 1/(sqrt(t^3))
∫
1
√
t
3
dt
(\partial)/(\partial x)((x)cos(x)cos(y))
∂
∂
x
(
(
x
)
cos
(
x
)
cos
(
y
)
)
y^'=(sec(y))/((x-4)^2)
y
′
=
sec
(
y
)
(
x
−
4
)
2
pendenzaintercept (3,-4),(5,6)
slopeintercept
(
3
,
−
4
)
,
(
5
,
6
)
derivative of 3/(sqrt(x+1))
d
dx
(
3
√
x
+
1
)
integral of cot(x)csc(x)
∫
cot
(
x
)
csc
(
x
)
dx
integral of sin(pi)x-3sin(3x)
∫
sin
(
π
)
x
−
3
sin
(
3
x
)
dx
integral of sqrt((4-x)/x)
∫
√
4
−
x
x
dx
derivative of e^{-6x}cos(6x)
d
dx
(
e
−
6
x
cos
(
6
x
)
)
(1+x^2)y^'+4xy=(1+x^2)^{-2}
(
1
+
x
2
)
y
′
+
4
xy
=
(
1
+
x
2
)
−
2
derivative of e^{2x^2-1}
d
dx
(
e
2
x
2
−
1
)
derivative f(t)=\sqrt[3]{t}
derivative
f
(
t
)
=
3
√
t
integral from 0 to 8 of 1/(sqrt(64+x^2))
∫
0
8
1
√
6
4
+
x
2
dx
derivative of (xsin(2x)/(cos(3x)))
d
dx
(
x
sin
(
2
x
)
cos
(
3
x
)
)
8t(dy)/(dt)+y=t^5
8
t
dy
dt
+
y
=
t
5
derivative f(x)=sqrt(x^2+3x)
derivative
f
(
x
)
=
√
x
2
+
3
x
integral from-pi to 0 of sin(x)+x
∫
−
π
0
sin
(
x
)
+
xdx
derivative of e^{6x}cos(bx)
d
dx
(
e
6
x
cos
(
bx
)
)
derivative (x+y)^2-4x+y+10
derivative
(
x
+
y
)
2
−
4
x
+
y
+
1
0
integral from 0 to pi of 2cos^2(pi/2)
∫
0
π
2
cos
2
(
π
2
)
dx
integral of 2/7 x^2+1
∫
2
7
x
2
+
1
dx
tangent f(x)=3x^2,(-1,3)
tangent
f
(
x
)
=
3
x
2
,
(
−
1
,
3
)
laplacetrasformazione g(t)=sqrt(t)
laplacetransform
g
(
t
)
=
√
t
1
..
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