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Popular Calculus Problems
(\partial)/(\partial x)(ln(3))
∂
∂
x
(
ln
(
3
)
)
integral of e^{-2t}t^2
∫
e
−
2
t
t
2
dt
derivative of cos(u)
derivative
cos
(
u
)
integral of (21x^2-60x+17)
∫
(
2
1
x
2
−
6
0
x
+
1
7
)
dx
(\partial)/(\partial x)(x^2y+3e^{xy})
∂
∂
x
(
x
2
y
+
3
e
xy
)
integral of 2(u+5)+1(sqrt(u))
∫
2
(
u
+
5
)
+
1
(
√
u
)
du
integral of-2y^{-3}
∫
−
2
y
−
3
dy
derivative of x^2y^3
d
dx
(
x
2
y
3
)
laplacetransform (t-2)^2
laplacetransform
(
t
−
2
)
2
limit as h approaches+0 of (10^h-1)/h
lim
h
→
+
0
(
1
0
h
−
1
h
)
integral from 1 to 100 of (17)/(x^3)
∫
1
1
0
0
1
7
x
3
dx
derivative of xe^x-x^2e^x
d
dx
(
xe
x
−
x
2
e
x
)
derivative of-(2x/(4-x^2))
d
dx
(
−
2
x
4
−
x
2
)
y^{''}-9y=sin(2t)
y
′
′
−
9
y
=
sin
(
2
t
)
integral from 7 to 9 of (x^2+2x-2)
∫
7
9
(
x
2
+
2
x
−
2
)
dx
derivative of (sqrt(3)^x)
d
dx
(
(
√
3
)
x
)
integral of (2x+1)/(4x^2+4x+7)
∫
2
x
+
1
4
x
2
+
4
x
+
7
dx
f(x)=\sqrt[3]{sin(x)}
f
(
x
)
=
3
√
sin
(
x
)
derivative of F(r)= 2/(r^3)
derivative
F
(
r
)
=
2
r
3
(\partial)/(\partial x)(6/5-6/5 e^{-20t})
∂
∂
x
(
6
5
−
6
5
e
−
2
0
t
)
d/(dt)(2cos(3t))
d
dt
(
2
cos
(
3
t
)
)
integral from 0 to 9/10 of 1/((100x^2+1)^{3/2)}
∫
0
9
1
0
1
(
1
0
0
x
2
+
1
)
3
2
dx
laplacetransform {e^{3t}sin(6t)-t^3+e^t}
laplacetransform
{
e
3
t
sin
(
6
t
)
−
t
3
+
e
t
}
12x^3-3y^2sqrt(x^4+1)*y^'=0
1
2
x
3
−
3
y
2
√
x
4
+
1
·
y
′
=
0
integral of 1/((x^2-49)^2)
∫
1
(
x
2
−
4
9
)
2
dx
derivative of f(x)=sqrt(2x+2)
derivative
f
(
x
)
=
√
2
x
+
2
(dy)/(dx)=0.0016y(2400-y)
dy
dx
=
0
.
0
0
1
6
y
(
2
4
0
0
−
y
)
limit as x approaches 4 of 7/(x-4)
lim
x
→
4
(
7
x
−
4
)
limit as x approaches 0 of sqrt(3x^2+5)
lim
x
→
0
(
√
3
x
2
+
5
)
derivative of ln(sqrt(x^2+1))
derivative
ln
(
√
x
2
+
1
)
integral of 1/(sqrt(x^2+x+1))
∫
1
√
x
2
+
x
+
1
dx
integral of (9+x+x^2)/(sqrt(x))
∫
9
+
x
+
x
2
√
x
dx
derivative of (x^2+3)(x^3+5)
derivative
(
x
2
+
3
)
(
x
3
+
5
)
limit as x approaches infinity of x^3e^x
lim
x
→
∞
(
x
3
e
x
)
tangent of f(x)=2x^2+8x,\at x=4
tangent
f
(
x
)
=
2
x
2
+
8
x
,
at
x
=
4
limit as n approaches 0 of sin(1/n)
lim
n
→
0
(
sin
(
1
n
)
)
derivative of 4x^2cos(x-x)
d
dx
(
4
x
2
cos
(
x
)
−
x
)
(d^2)/(dx^2)(sqrt(x^2+y^2))
d
2
dx
2
(
√
x
2
+
y
2
)
f(x)=sqrt(7x+4)
f
(
x
)
=
√
7
x
+
4
tangent of f(x)=-2sin(x),\at x=-pi
tangent
f
(
x
)
=
−
2
sin
(
x
)
,
at
x
=
−
π
integral from 0 to 10 of |x^2-6x+5|
∫
0
1
0
|
x
2
−
6
x
+
5
|
dx
sum from n=1 to infinity of 1/(100n)
∑
n
=
1
∞
1
1
0
0
n
integral of 1/16 e^{-4x}
∫
1
1
6
e
−
4
x
dx
d/(dt)(t^{-2})
d
dt
(
t
−
2
)
integral of e^ssin(t-s)
∫
e
s
sin
(
t
−
s
)
ds
derivative of 3x^2sqrt(25-x^2)
d
dx
(
3
x
2
√
2
5
−
x
2
)
integral of (8x^2+8x+2)/((4x^2+1)^2)
∫
8
x
2
+
8
x
+
2
(
4
x
2
+
1
)
2
dx
integral from 1 to 2 of 1/(x^3+x)
∫
1
2
1
x
3
+
x
dx
tangent of f(x)=sqrt(x^2-x+2),\at x=2
tangent
f
(
x
)
=
√
x
2
−
x
+
2
,
at
x
=
2
integral from 0 to 1 of (e^x)/(1+e^{2x)}
∫
0
1
e
x
1
+
e
2
x
dx
limit as x approaches 3 of 1/3 x^2-4x+10
lim
x
→
3
(
1
3
x
2
−
4
x
+
1
0
)
(\partial}{\partial y}(\frac{3y)/x)
∂
∂
y
(
3
y
x
)
integral of x/(sqrt(a+bx))
∫
x
√
a
+
bx
dx
integral from 6 to 8 of (76)/((x-6)^3)
∫
6
8
7
6
(
x
−
6
)
3
dx
implicit (dy)/(dx),x^2y=1
implicit
dy
dx
,
x
2
y
=
1
integral of (2x)/(λ^2)
∫
2
x
λ
2
dx
limit as x approaches 0 of (e^{4x}-1)/(2x^2+2x)
lim
x
→
0
(
e
4
x
−
1
2
x
2
+
2
x
)
integral of sin(x)sin(n)x
∫
sin
(
x
)
sin
(
n
)
xdx
sum from n=1 to infinity of 4/(n(n+6))
∑
n
=
1
∞
4
n
(
n
+
6
)
integral of sin^4(x)cos^3(x)
∫
sin
4
(
x
)
cos
3
(
x
)
dx
integral of (y^2+1)/((y-1)^2(y+1))
∫
y
2
+
1
(
y
−
1
)
2
(
y
+
1
)
dy
y^{''}+2y^'+4y=e^tcos(t)
y
′
′
+
2
y
′
+
4
y
=
e
t
cos
(
t
)
(\partial)/(\partial z)(ysin(xz))
∂
∂
z
(
y
sin
(
xz
)
)
limit as t approaches-1 of (t^{10}+t^5+1)/(t-1)
lim
t
→
−
1
(
t
1
0
+
t
5
+
1
t
−
1
)
derivative of 1936-16t^2
derivative
1
9
3
6
−
1
6
t
2
derivative of x/(x-5)
derivative
x
x
−
5
slope of (3.2)(5.6)
slope
(
3
.
2
)
(
5
.
6
)
derivative of y=(x-2)(2x+3)
derivative
y
=
(
x
−
2
)
(
2
x
+
3
)
derivative of sqrt(12-x)
d
dx
(
√
1
2
−
x
)
limit as x approaches infinity of (x^3)/(1e^{x/2)}
lim
x
→
∞
(
x
3
1
e
x
2
)
integral of 2x^3sqrt(x^4+2)
∫
2
x
3
√
x
4
+
2
dx
derivative of 3*2
derivative
3
·
2
area-4x^2+9,x+7,x=0
area
−
4
x
2
+
9
,
x
+
7
,
x
=
0
derivative of ln(6x-1)
derivative
ln
(
6
x
−
1
)
(dy)/(dx)=(6y^2)/(x^2)
dy
dx
=
6
y
2
x
2
area x=8y^2,x=1+7y^2
area
x
=
8
y
2
,
x
=
1
+
7
y
2
integral of ((ln(x))^9)/x
∫
(
ln
(
x
)
)
9
x
dx
limit as x approaches 1-of e^{3/((1-x))}
lim
x
→
1
−
(
e
3
(
1
−
x
)
)
integral from 0 to 1 of (6x-9x^2)5x
∫
0
1
(
6
x
−
9
x
2
)
5
xdx
-3y^'+(2y)/x =x^2y^4
−
3
y
′
+
2
y
x
=
x
2
y
4
derivative of \sqrt[3]{2x+3}
d
dx
(
3
√
2
x
+
3
)
derivative of (3x^2-x+1/x)
d
dx
(
3
x
2
−
x
+
1
x
)
(e^{2x}-x^2-1)^'
(
e
2
x
−
x
2
−
1
)
′
integral from-1 to 2 of x^2+1
∫
−
1
2
x
2
+
1
dx
integral of usqrt(1-u^2)
∫
u
√
1
−
u
2
du
integral of x*e^{-2x}
∫
x
·
e
−
2
x
dx
derivative of 1/(10sqrt(x))
d
dx
(
1
1
0
√
x
)
area 14-x^2,x^2-4
area
1
4
−
x
2
,
x
2
−
4
(dy)/(dx)+4xy^4=0
dy
dx
+
4
xy
4
=
0
derivative of ((sqrt(x)-5))/(sqrt(x)+5)
derivative
(
√
x
−
5
)
√
x
+
5
limit as x approaches 1 of (3x)/(x-1)-3/(ln(x))
lim
x
→
1
(
3
x
x
−
1
−
3
ln
(
x
)
)
derivative of (sin(6x)/(e^{3x)})
d
dx
(
sin
(
6
x
)
e
3
x
)
derivative of f(x)=3x^2e^x+e^x(x^3+5)
derivative
f
(
x
)
=
3
x
2
e
x
+
e
x
(
x
3
+
5
)
inverse oflaplace 3/((s-3)(s+1))
inverselaplace
3
(
s
−
3
)
(
s
+
1
)
(\partial)/(\partial x)(r^2st+rs^2t+rst^2)
∂
∂
x
(
r
2
st
+
rs
2
t
+
rst
2
)
1/3 (dx)/(dt)-2e^{-t}=-x
1
3
dx
dt
−
2
e
−
t
=
−
x
integral from ln(8) to ln(64) of e^{x/3}
∫
ln
(
8
)
ln
(
6
4
)
e
x
3
dx
limit as x approaches 0 of (tan(pi)x)/x
lim
x
→
0
(
tan
(
π
)
x
x
)
limit as x approaches 0+of x-sqrt(x)
lim
x
→
0
+
(
x
−
√
x
)
integral of sqrt(x)+1/(2sqrt(x))
∫
√
x
+
1
2
√
x
dx
1
..
1407
1408
1409
1410
1411
..
2459