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Popular Calculus Problems
limit as x approaches-3-of g(x)
\lim\:_{x\to\:-3-}(g(x))
derivative of (6x^2+4x+4/(sqrt(x)))
\frac{d}{dx}(\frac{6x^{2}+4x+4}{\sqrt{x}})
limit as x approaches pi/2 of sec(x)
\lim\:_{x\to\:\frac{π}{2}}(\sec(x))
limit as x approaches 0+of ln(x)*tan(x)
\lim\:_{x\to\:0+}(\ln(x)\cdot\:\tan(x))
x(dy)/(dx)+2y=2e^x
x\frac{dy}{dx}+2y=2e^{x}
inverse oflaplace 5/(pis^2)
inverselaplace\:\frac{5}{πs^{2}}
derivative of sqrt(2x-3)
derivative\:\sqrt{2x-3}
tangent of 8e^x
tangent\:8e^{x}
y^'+(3y)/x =-1/x
y^{\prime\:}+\frac{3y}{x}=-\frac{1}{x}
(\partial)/(\partial x)(2x^3+xy^2)
\frac{\partial\:}{\partial\:x}(2x^{3}+xy^{2})
1/x (dy)/(dx)=e^{x+y}
\frac{1}{x}\frac{dy}{dx}=e^{x+y}
derivative of 1/(2xsqrt(ln(x+1)))
\frac{d}{dx}(\frac{1}{2x\sqrt{\ln(x)+1}})
integral of cot^3(x)*csc^3(x)
\int\:\cot^{3}(x)\cdot\:\csc^{3}(x)dx
sum from n=1 to infinity of (2n!)/(n^n)
\sum\:_{n=1}^{\infty\:}\frac{2n!}{n^{n}}
derivative of sqrt(r)(2r+1)
derivative\:\sqrt{r}(2r+1)
(dy)/(dt)=5(y-t^2)
\frac{dy}{dt}=5(y-t^{2})
integral of (x^3)/((2+x^4)^9)
\int\:\frac{x^{3}}{(2+x^{4})^{9}}dx
y^'=2y-3e^{-t}
y^{\prime\:}=2y-3e^{-t}
limit as x approaches 0 of sin(2/x)
\lim\:_{x\to\:0}(\sin(\frac{2}{x}))
tangent of f(x)=2x+sqrt(x)
tangent\:f(x)=2x+\sqrt{x}
(dy)/(dx)+3y=18
\frac{dy}{dx}+3y=18
integral of 1/((x^2+6x+6)^2)
\int\:\frac{1}{(x^{2}+6x+6)^{2}}dx
integral of 1/(xsqrt(5-x^2))
\int\:\frac{1}{x\sqrt{5-x^{2}}}dx
integral of 1/(xsqrt(4x+1))
\int\:\frac{1}{x\sqrt{4x+1}}dx
integral of 8csc^4(x)cot^6(x)
\int\:8\csc^{4}(x)\cot^{6}(x)dx
(\partial)/(\partial y)(4x-2y+3)
\frac{\partial\:}{\partial\:y}(4x-2y+3)
derivative of 2pi*sqrt(x/(9.8))
\frac{d}{dx}(2π\cdot\:\sqrt{\frac{x}{9.8}})
derivative of-7e^{-x}
\frac{d}{dx}(-7e^{-x})
derivative of (x^4-2x^2+5x+1/(x^4))
\frac{d}{dx}(\frac{x^{4}-2x^{2}+5x+1}{x^{4}})
xv(dv)/(dx)+v^2=32x
xv\frac{dv}{dx}+v^{2}=32x
limit as x approaches 1 of (x-1)/(|x-1|)
\lim\:_{x\to\:1}(\frac{x-1}{\left|x-1\right|})
integral from 4 to 9 of 2sqrt(x)
\int\:_{4}^{9}2\sqrt{x}dx
sum from n=1 to infinity of (n^2)/(2n^2)
\sum\:_{n=1}^{\infty\:}\frac{n^{2}}{2n^{2}}
derivative of y=4x^2sin(x)tan(x)
derivative\:y=4x^{2}\sin(x)\tan(x)
y^'= 1/(ty+2t+y+2)
y^{\prime\:}=\frac{1}{ty+2t+y+2}
limit as n approaches a of (5n)/(10n+4)
\lim\:_{n\to\:a}(\frac{5n}{10n+4})
derivative of 5-cos(x)
\frac{d}{dx}(5-\cos(x))
(\partial)/(\partial y)((x^2y-y)/(x^2-2y))
\frac{\partial\:}{\partial\:y}(\frac{x^{2}y-y}{x^{2}-2y})
inverse oflaplace 2/((s-2)^2)
inverselaplace\:\frac{2}{(s-2)^{2}}
y^3-(10x+8)+3xy^2y^'=0
y^{3}-(10x+8)+3xy^{2}y^{\prime\:}=0
derivative of (sqrt(x-4))/(sqrt(x+4))
derivative\:\frac{\sqrt{x-4}}{\sqrt{x+4}}
derivative of y= 1/(3x)
derivative\:y=\frac{1}{3x}
derivative of sin(x^3-x)
\frac{d}{dx}(\sin(x^{3}-x))
area 2y=x,x+1=(y-1)^2
area\:2y=x,x+1=(y-1)^{2}
derivative of sqrt(7-8x)
\frac{d}{dx}(\sqrt{7-8x})
(dy)/(dx)=(x+y+5)^2
\frac{dy}{dx}=(x+y+5)^{2}
y^{''}+2y=-4x
y^{\prime\:\prime\:}+2y=-4x
laplacetransform 2e^{-t}cos(4t)
laplacetransform\:2e^{-t}\cos(4t)
derivative of ((4x+b)/((cx+d)))
\frac{d}{dx}(\frac{(4x+b)}{(cx+d)})
xy+(dy)/(dx)=100x
xy+\frac{dy}{dx}=100x
(dy)/(dx)+8y=e^xy^{-8}
\frac{dy}{dx}+8y=e^{x}y^{-8}
limit as x approaches 5-of 4x-5
\lim\:_{x\to\:5-}(4x-5)
integral of x/((x-1)(x+2))
\int\:\frac{x}{(x-1)(x+2)}dx
integral of ((5x^2+8x+5))/((x-5)(x^2+9))
\int\:\frac{(5x^{2}+8x+5)}{(x-5)(x^{2}+9)}dx
integral of 2sin(x^3)
\int\:2\sin(x^{3})dx
integral of 1/((x^2+3))
\int\:\frac{1}{(x^{2}+3)}dx
derivative of (3x/(2sin(x)+cos(x)))
\frac{d}{dx}(\frac{3x}{2\sin(x)+\cos(x)})
y^{''}+y^'-6y=0
y^{\prime\:\prime\:}+y^{\prime\:}-6y=0
area y=x^3-9x^2+14x,y=-x^3+9x^2-14x
area\:y=x^{3}-9x^{2}+14x,y=-x^{3}+9x^{2}-14x
sum from n=1 to infinity of (5^n)/(6^n)
\sum\:_{n=1}^{\infty\:}\frac{5^{n}}{6^{n}}
integral from 0 to 0.6 of 2000x
\int\:_{0}^{0.6}2000xdx
d/(da)(tan(a)cot(a))
\frac{d}{da}(\tan(a)\cot(a))
inverse oflaplace 1/s+1/s e^s
inverselaplace\:\frac{1}{s}+\frac{1}{s}e^{s}
inverse oflaplace-2
inverselaplace\:-2
integral of 4sec(x)tan(x)-2sec^2(x)
\int\:4\sec(x)\tan(x)-2\sec^{2}(x)dx
inverse oflaplace 1/(s^2+3)
inverselaplace\:\frac{1}{s^{2}+3}
integral of (x-1)/(x^3-x^2-2x)
\int\:\frac{x-1}{x^{3}-x^{2}-2x}dx
integral of 5sin^3(xco)s^5x
\int\:5\sin^{3}(xco)s^{5}xdx
derivative of ce^{2x}
derivative\:ce^{2x}
area 8x^2,sqrt(1/8 x)
area\:8x^{2},\sqrt{\frac{1}{8}x}
(\partial)/(\partial x)(3x^4y^5+5x^7y^8)
\frac{\partial\:}{\partial\:x}(3x^{4}y^{5}+5x^{7}y^{8})
integral from 0 to 3 of 1/(x-1)
\int\:_{0}^{3}\frac{1}{x-1}dx
tangent of f(x)=-2x^3,(-1,2)
tangent\:f(x)=-2x^{3},(-1,2)
inverse oflaplace 9/((s+3)^3)
inverselaplace\:\frac{9}{(s+3)^{3}}
(\partial)/(\partial y)(3x^2y^2)
\frac{\partial\:}{\partial\:y}(3x^{2}y^{2})
y^'+1/x y=3x^2
y^{\prime\:}+\frac{1}{x}y=3x^{2}
limit as x approaches 3 of 5x-1
\lim\:_{x\to\:3}(5x-1)
(dy)/(dx)=(e^x)/(2+e^x)
\frac{dy}{dx}=\frac{e^{x}}{2+e^{x}}
integral of (19xe^{2x})/((1+2x)^2)
\int\:\frac{19xe^{2x}}{(1+2x)^{2}}dx
derivative of 6x+sin(3x)
\frac{d}{dx}(6x+\sin(3x))
derivative of (1-x^2/(2-x^3))
\frac{d}{dx}(\frac{1-x^{2}}{2-x^{3}})
y^{''}+4y^'+30y=0,y(0)=1,y^'(0)=0
y^{\prime\:\prime\:}+4y^{\prime\:}+30y=0,y(0)=1,y^{\prime\:}(0)=0
integral of sin(3x)cos^2(3x)
\int\:\sin(3x)\cos^{2}(3x)dx
integral from-1 to 4 of (5x^4-8x^3+6)
\int\:_{-1}^{4}(5x^{4}-8x^{3}+6)dx
f^'(x)=e^x
f^{\prime\:}(x)=e^{x}
integral of-6sqrt(x)e^{sqrt(x)}
\int\:-6\sqrt{x}e^{\sqrt{x}}dx
integral of (e^x(e^x+1))/((e^x-1)^3)
\int\:\frac{e^{x}(e^{x}+1)}{(e^{x}-1)^{3}}dx
(dy)/(dx)=3(2-y)
\frac{dy}{dx}=3(2-y)
(dy)/(dx)=(xy+y^2)/(x^2)
\frac{dy}{dx}=\frac{xy+y^{2}}{x^{2}}
(dy)/(dx)=16\sqrt[4]{4x^4+4}
\frac{dy}{dx}=16\sqrt[4]{4x^{4}+4}
y^{''}+2y^'+26y=0
y^{\prime\:\prime\:}+2y^{\prime\:}+26y=0
area 2^x,ln(x), 1/2 ,2
area\:2^{x},\ln(x),\frac{1}{2},2
limit as x approaches 4 of-x^2+4x
\lim\:_{x\to\:4}(-x^{2}+4x)
integral of 3ye^{3x}
\int\:3ye^{3x}dx
tangent of f(x)= 2/(3x+5),\at x=-1
tangent\:f(x)=\frac{2}{3x+5},\at\:x=-1
4y^{''}-4y^'+50y=0
4y^{\prime\:\prime\:}-4y^{\prime\:}+50y=0
derivative of y=8^x
derivative\:y=8^{x}
integral of (1-2x-x^2)/(x^3+x^2-3x+1)
\int\:\frac{1-2x-x^{2}}{x^{3}+x^{2}-3x+1}dx
limit as x approaches 3 of (-x+6)/(-2-1)
\lim\:_{x\to\:3}(\frac{-x+6}{-2-1})
derivative of kxe^x
\frac{d}{dx}(kxe^{x})
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