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Problemas de Cálculo populares
(4y+8t^2)dy+(16yt-3)dt=0
(
4
y
+
8
t
2
)
dy
+
(
1
6
yt
−
3
)
dt
=
0
(\partial)/(\partial x)(x^2sin(4y))
∂
∂
x
(
x
2
sin
(
4
y
)
)
integral de xcos^2(x)
∫
x
cos
2
(
x
)
dx
(\partial)/(\partial x)(-sin(xy)y)
∂
∂
x
(
−
sin
(
xy
)
y
)
y^'-xy^2=2xy
y
′
−
xy
2
=
2
xy
(\partial)/(\partial y)(y^2+x^2)
∂
∂
y
(
y
2
+
x
2
)
integral de x^2sin(9x)
∫
x
2
sin
(
9
x
)
dx
integral de (x^2+1)/(3x^2-x-2)
∫
x
2
+
1
3
x
2
−
x
−
2
dx
límite cuando t tiende a 0+de t(ln(t))^2
lim
t
→
0
+
(
t
(
ln
(
t
)
)
2
)
(\partial)/(\partial x)(x^3+3x^2y)
∂
∂
x
(
x
3
+
3
x
2
y
)
x^2(dy)/(dx)=4x^2+7xy+2y^2
x
2
dy
dx
=
4
x
2
+
7
xy
+
2
y
2
tangent f(x)=sqrt(x+2),\at x=7
tangent
f
(
x
)
=
√
x
+
2
,
at
x
=
7
integral de 0 a 0.2 de 600x
∫
0
0
.
2
6
0
0
xdx
-y^{''}+49y=0
−
y
′
′
+
4
9
y
=
0
integral de sin^2(t)
∫
sin
2
(
t
)
dt
inversalaplace 3/(s^2-49)
inverselaplace
3
s
2
−
4
9
(d^2)/(dx^2)(xsqrt(4-x^2))
d
2
dx
2
(
x
√
4
−
x
2
)
implicit (dy)/(dx),y=11x
implicit
dy
dx
,
y
=
1
1
x
2x^2y+x^3y^'=1
2
x
2
y
+
x
3
y
′
=
1
integral de (16)/(64+(2pix)^2)
∫
1
6
6
4
+
(
2
π
x
)
2
dx
y^'(x^2+1)+3xy=6x
y
′
(
x
2
+
1
)
+
3
xy
=
6
x
derivative 3cos^2(x)
derivative
3
cos
2
(
x
)
derivada de 2sin(x+cos(x))
d
dx
(
2
sin
(
x
)
+
cos
(
x
)
)
(x-2)^'
(
x
−
2
)
′
laplacetransformação 25t
laplacetransform
2
5
t
integral de 0 a 1/4 de 4arcsin(4y)
∫
0
1
4
4
arcsin
(
4
y
)
dy
integral de (sin(2)x^2)^2xcos(2)x^2
∫
(
sin
(
2
)
x
2
)
2
x
cos
(
2
)
x
2
dx
(dy)/(dx)+y^3x+3y=0
dy
dx
+
y
3
x
+
3
y
=
0
(te^t)^'
(
te
t
)
′
integral de 5x^3(ln(x)-2)
∫
5
x
3
(
ln
(
x
)
−
2
)
dx
límite cuando x tiende a infinity de (30)/(1+x^{10)}
lim
x
→
∞
(
3
0
1
+
x
1
0
)
integral de (cos(2x)-1)/(cos(2x)+1)
∫
cos
(
2
x
)
−
1
cos
(
2
x
)
+
1
dx
integral de cos(2pix)
∫
cos
(
2
π
x
)
dx
derivada de (x^5-9x^2)
d
dx
(
(
x
5
−
9
x
)
2
)
derivative f(x)=4x^3-5x+1
derivative
f
(
x
)
=
4
x
3
−
5
x
+
1
(\partial)/(\partial z)(2xy+z^2)
∂
∂
z
(
2
xy
+
z
2
)
(\partial)/(\partial y)(yx^2)
∂
∂
y
(
yx
2
)
integral de x(x-2021)
∫
x
(
x
−
2
0
2
1
)
dx
derivada de 3sin(x+3xcos(x))
d
dx
(
3
sin
(
x
)
+
3
x
cos
(
x
)
)
(\partial)/(\partial x)(sin(pi)x)
∂
∂
x
(
sin
(
π
)
x
)
derivative (m+2)/(m^2+5m+6)
derivative
m
+
2
m
2
+
5
m
+
6
(\partial}{\partial z}(\frac{(x-y))/z)
∂
∂
z
(
(
x
−
y
)
z
)
integral de (3t^2-4t+5)
∫
(
3
t
2
−
4
t
+
5
)
dt
integral de sin^4(x)cos^2(x
∫
sin
4
(
x
)
cos
2
(
d
)
xdx
(\partial)/(\partial y)((1+xy)^{3/2})
∂
∂
y
(
(
1
+
xy
)
3
2
)
integral de (cos(x))/(cos^2(x))
∫
cos
(
x
)
cos
2
(
x
)
dx
taylor arctan(x^3)
taylor
arctan
(
x
3
)
derivative y=(x^3+3x^2-5x+2)/3
derivative
y
=
x
3
+
3
x
2
−
5
x
+
2
3
y^'-8y^3=0
y
′
−
8
y
3
=
0
integral de 1/(sqrt(2x-1)-\sqrt[4]{2x-1)}
∫
1
√
2
x
−
1
−
4
√
2
x
−
1
dx
integral de x^{1.1}(1/(3x)-1)
∫
x
1
.
1
(
1
3
x
−
1
)
dx
implicit x^2+y^2=25
implicit
x
2
+
y
2
=
2
5
integral de 1 a 2 de x(x-1)^9
∫
1
2
x
(
x
−
1
)
9
dx
límite cuando h tiende a 1-de (h-2)/(1-h)
lim
h
→
1
−
(
h
−
2
1
−
h
)
integral de tan(6x)sec^2(6x)
∫
tan
(
6
x
)
sec
2
(
6
x
)
dx
y^'+5y=t+e^{-4t}
y
′
+
5
y
=
t
+
e
−
4
t
maclaurin arctan(5x)
maclaurin
arctan
(
5
x
)
d/(dt)(-2e^{-t^2}t)
d
dt
(
−
2
e
−
t
2
t
)
integral de 2/((x-2)(x^2+4))
∫
2
(
x
−
2
)
(
x
2
+
4
)
dx
integral de cos^2(z)sin^4(z)
∫
cos
2
(
z
)
sin
4
(
z
)
dz
integral de (x/5)^2
∫
(
x
5
)
2
dx
derivada de-3cos(x+2sin(x))
d
dx
(
−
3
cos
(
x
)
+
2
sin
(
x
)
)
(dy)/(dt)=y(1-y)
dy
dt
=
y
(
1
−
y
)
d/(dt)(2sqrt(t))
d
dt
(
2
√
t
)
integral de 1 a 3 de 4x^4ln(x)
∫
1
3
4
x
4
ln
(
x
)
dx
derivada de sqrt(x)-2x
d
dx
(
√
x
−
2
x
)
integral de (1/x-4/(9x^2+1))
∫
(
1
x
−
4
9
x
2
+
1
)
dx
tangent f(x)= 3/(2x+1),\at x=4
tangent
f
(
x
)
=
3
2
x
+
1
,
at
x
=
4
integral de-pi a pi de xe^{sin(x^2)}
∫
−
π
π
xe
sin
(
x
2
)
dx
derivada de 4x^2-2x+1
d
dx
(
4
x
2
−
2
x
+
1
)
integral de x^2-4cos(x)+8
∫
x
2
−
4
cos
(
x
)
+
8
dx
integral de 0 a pi/6 de cos^3(6x)
∫
0
π
6
cos
3
(
6
x
)
dx
integral de (-4x^4+5sin(x))
∫
(
−
4
x
4
+
5
sin
(
x
)
)
dx
(\partial)/(\partial x)(100e^{(2x+3y)})
∂
∂
x
(
1
0
0
e
(
2
x
+
3
y
)
)
integral de e^xsqrt(6+e^x)
∫
e
x
√
6
+
e
x
dx
(1/2 \sqrt[3]{x})^'
(
1
2
3
√
x
)
′
integral de (50)/(w^2sqrt(25-w^2))
∫
5
0
w
2
√
2
5
−
w
2
dw
integral de 4x+1
∫
4
x
+
1
dx
integral de θtan^2(θ)
∫
θ
tan
2
(
θ
)
d
θ
derivative 2^x+x^2e^{x^2}
derivative
2
x
+
x
2
e
x
2
integral de 64e^{-8x}sin(8x)
∫
6
4
e
−
8
x
sin
(
8
x
)
dx
derivada de sqrt(ln(x+x))
d
dx
(
√
ln
(
x
)
+
x
)
derivada de-2x+y
d
dx
(
−
2
x
+
y
)
integral de u+1
∫
u
+
1
du
y=sec(1+\sqrt[3]{4+arcsin(4+pi^2)})
y
=
sec
(
1
+
3
√
4
+
arcsin
(
4
+
π
2
)
)
10(t+1)(dy)/(dt)-9y=9t
1
0
(
t
+
1
)
dy
dt
−
9
y
=
9
t
límite cuando x tiende a 0 de (-cos(x)+1)/x
lim
x
→
0
(
−
cos
(
x
)
+
1
x
)
derivada de (x-5/((x-3)(x-1)))
d
dx
(
x
−
5
(
x
−
3
)
(
x
−
1
)
)
límite cuando x tiende a 0 de xsin(9/x)
lim
x
→
0
(
x
sin
(
9
x
)
)
integral de sin^5(x/3)cos(x/3)
∫
sin
5
(
x
3
)
cos
(
x
3
)
dx
(\partial)/(\partial x)(zcos(yx))
∂
∂
x
(
z
cos
(
yx
)
)
integral de-3 a 1 de (x^2+2x-3)
∫
−
3
1
(
x
2
+
2
x
−
3
)
dx
derivative f(x)=x^2(1-3x)
derivative
f
(
x
)
=
x
2
(
1
−
3
x
)
derivative e^θ
derivative
e
θ
taylor y=ln(1+x)
taylor
y
=
ln
(
1
+
x
)
integral de (48x^2)/((x-18)(x+6)^2)
∫
4
8
x
2
(
x
−
1
8
)
(
x
+
6
)
2
dx
integral de-2sin(t)
∫
−
2
sin
(
t
)
dt
d/(d{r)}(pi{r}^2h)
d
d
r
(
π
r
2
h
)
derivative y=ln(1/(xsqrt(x-10)))
derivative
y
=
ln
(
1
x
√
x
−
1
0
)
serie de n=1 a infinity de 6(-0.2)^{3n}
∑
n
=
1
∞
6
(
−
0
.
2
)
3
n
1
..
1388
1389
1390
1391
1392
..
2459