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Popular Calculus Problems

derivative of ln(x^2-x)	\frac{d}{dx}(\ln(x^{2}-x))
tangent of y=-3cos(x),\at x=(-pi)/3	tangent\:y=-3\cos(x),\at\:x=\frac{-π}{3}
(e^y+1)^2e^{-y}dx+(e^x+1)^3dy=0	(e^{y}+1)^{2}e^{-y}dx+(e^{x}+1)^{3}dy=0
integral of 4e^x+12x^3+4x	\int\:4e^{x}+12x^{3}+4xdx
tangent of f(x)=2sin(x),\at x= pi/4	tangent\:f(x)=2\sin(x),\at\:x=\frac{π}{4}
slope of (5.2)(-9.6)	slope\:(5.2)(-9.6)
derivative of e^{x^2-x}	derivative\:e^{x^{2}-x}
slope of y=3+4x^2-2x^3x=a	slope\:y=3+4x^{2}-2x^{3}x=a
limit as x approaches-infinity of-3x	\lim\:_{x\to\:-\infty\:}(-3x)
sum from n=1 to infinity of (10)/n	\sum\:_{n=1}^{\infty\:}\frac{10}{n}
limit as x approaches 0 of (tan(0))/0	\lim\:_{x\to\:0}(\frac{\tan(0)}{0})
derivative of 1/(sqrt(x+7))	derivative\:\frac{1}{\sqrt{x+7}}
derivative of x/(7x+9)	\frac{d}{dx}(\frac{x}{7x+9})
integral of 0.2t^2	\int\:0.2t^{2}dt
integral of (θ-csc(θ)cot(θ))	\int\:(θ-\csc(θ)\cot(θ))dθ
limit as x approaches infinity of (1)^x	\lim\:_{x\to\:\infty\:}((1)^{x})
integral of 4/(x^3-2x^2)	\int\:\frac{4}{x^{3}-2x^{2}}dx
xy^'-2y=6x^2	xy^{\prime\:}-2y=6x^{2}
integral of f(x,y,z)	\int\:f(x,y,z)dx
derivative of \sqrt[7]{x}+6sqrt(x^7)	\frac{d}{dx}(\sqrt[7]{x}+6\sqrt{x^{7}})
integral of 1/(sqrt(100-x^2))	\int\:\frac{1}{\sqrt{100-x^{2}}}dx
(\partial)/(\partial x)((-y^2)/((x-y)^2))	\frac{\partial\:}{\partial\:x}(\frac{-y^{2}}{(x-y)^{2}})
integral of e^{i7x}cos(5x)	\int\:e^{i7x}\cos(5x)dx
(\partial)/(\partial x)(5e^{x-y})	\frac{\partial\:}{\partial\:x}(5e^{x-y})
integral of 3/((x^2+1)^{3/2)}	\int\:\frac{3}{(x^{2}+1)^{\frac{3}{2}}}dx
integral of (2u)/(1+u^2)	\int\:\frac{2u}{1+u^{2}}du
y^{''}+y^'-2y=2x	y^{\prime\:\prime\:}+y^{\prime\:}-2y=2x
integral of 2e^u	\int\:2e^{u}du
((3y^2-x^2))/(y^5)y^'+x/(2y^4)=0	\frac{(3y^{2}-x^{2})}{y^{5}}y^{\prime\:}+\frac{x}{2y^{4}}=0
derivative of f(x)=-5.7+3.57ln(x)	derivative\:f(x)=-5.7+3.57\ln(x)
integral of sqrt(1+cos^2(x))	\int\:\sqrt{1+\cos^{2}(x)}dx
derivative of (3x-1/(x+1))	\frac{d}{dx}(\frac{3x-1}{x+1})
integral of x/((1+x^2)^{1/2)}	\int\:\frac{x}{(1+x^{2})^{\frac{1}{2}}}dx
derivative of 8(0.9^{x-2})	\frac{d}{dx}(8(0.9)^{x-2})
xy^'=y^2-y,y(2)=1	xy^{\prime\:}=y^{2}-y,y(2)=1
integral from 0 to 1 of 1/((x^2+1)^3)	\int\:_{0}^{1}\frac{1}{(x^{2}+1)^{3}}dx
tangent of f(x)=3x^2-5x+8,\at x=2	tangent\:f(x)=3x^{2}-5x+8,\at\:x=2
inverse oflaplace 2/((s^2-1)(s-1))	inverselaplace\:\frac{2}{(s^{2}-1)(s-1)}
(\partial)/(\partial y)(x^2+5y^2)	\frac{\partial\:}{\partial\:y}(x^{2}+5y^{2})
limit as x approaches 3-of-3/7 x+4/11	\lim\:_{x\to\:3-}(-\frac{3}{7}x+\frac{4}{11})
(\partial)/(\partial z)(x/(sqrt(y+z)))	\frac{\partial\:}{\partial\:z}(\frac{x}{\sqrt{y+z}})
limit as x approaches 0-of ((x+4))/((3))	\lim\:_{x\to\:0-}(\frac{(x+4)}{(3)})
9y^{''}-30y^'+25y=0	9y^{\prime\:\prime\:}-30y^{\prime\:}+25y=0
integral of 2/5 x^{5/2}-54/5	\int\:\frac{2}{5}x^{\frac{5}{2}}-\frac{54}{5}dx
(\partial)/(\partial x)(y+1/x)	\frac{\partial\:}{\partial\:x}(y+\frac{1}{x})
integral of e^{-yx}	\int\:e^{-yx}dx
derivative of (6x/(x-1))	\frac{d}{dx}(\frac{6x}{x-1})
integral of ye^x+sin(y)	\int\:ye^{x}+\sin(y)dx
integral from 0 to 2 of 2x^2sqrt(x^3+1)	\int\:_{0}^{2}2x^{2}\sqrt{x^{3}+1}dx
integral of 6/(5\sqrt[3]{x)}	\int\:\frac{6}{5\sqrt[3]{x}}dx
y^{''}+16y=24sec(4t)	y^{\prime\:\prime\:}+16y=24\sec(4t)
limit as x approaches-4+of f(x)	\lim\:_{x\to\:-4+}(f(x))
tangent of x^2+xy+2y^2=32,(5,1)	tangent\:x^{2}+xy+2y^{2}=32,(5,1)
derivative of sin^3(2x+1)	\frac{d}{dx}(\sin^{3}(2x+1))
integral from 1 to 3 of x^3	\int\:_{1}^{3}x^{3}dx
inverse oflaplace 5/((s+4)^2(s+1))	inverselaplace\:\frac{5}{(s+4)^{2}(s+1)}
derivative of t/((t-1)^2)	derivative\:\frac{t}{(t-1)^{2}}
slope of (1,1),(-3,-3)	slope\:(1,1),(-3,-3)
slope of y=x^2+x-1.0E-13	slope\:y=x^{2}+x-1.0E-13
integral of 1/(sqrt(19-x^2))	\int\:\frac{1}{\sqrt{19-x^{2}}}dx
laplacetransform 3t^2+13t	laplacetransform\:3t^{2}+13t
limit as x approaches 0 of ((x^2+5x))/x	\lim\:_{x\to\:0}(\frac{(x^{2}+5x)}{x})
y= 3/(x^2-5)	y=\frac{3}{x^{2}-5}
integral of (2y)/(x+1)	\int\:\frac{2y}{x+1}dx
limit as x approaches 0-of-x+5	\lim\:_{x\to\:0-}(-x+5)
y^{''}+16y=16sec(24t)	y^{\prime\:\prime\:}+16y=16\sec(24t)
inverse oflaplace ((s+3))/((s^2+3s+2))	inverselaplace\:\frac{(s+3)}{(s^{2}+3s+2)}
slope of (0.5)(100)	slope\:(0.5)(100)
inverse oflaplace s/(s^2-1)	inverselaplace\:\frac{s}{s^{2}-1}
derivative of-ln(1-1/(1+e^{-x}))	\frac{d}{dx}(-\ln(1-\frac{1}{1+e^{-x}}))
(d^2)/(dx^2)(e^{8x^2})	\frac{d^{2}}{dx^{2}}(e^{8x^{2}})
sum from n=1 to infinity of 4^{-2n+1}	\sum\:_{n=1}^{\infty\:}4^{-2n+1}
derivative of 1/(sqrt(4-x^2))	\frac{d}{dx}(\frac{1}{\sqrt{4-x^{2}}})
limit as x approaches 1 of (1-x^2)^{1-x}	\lim\:_{x\to\:1}((1-x^{2})^{1-x})
d/(dv)(u+v)	\frac{d}{dv}(u+v)
integral of (1+sqrt(x))^2	\int\:(1+\sqrt{x})^{2}dx
integral of x/((1-x^2))	\int\:\frac{x}{(1-x^{2})}dx
derivative of-(2x/((x+1)^2(x-1)^2))	\frac{d}{dx}(-\frac{2x}{(x+1)^{2}(x-1)^{2}})
integral of [5x^4+10cos(x)]	\int\:[5x^{4}+10\cos(x)]dx
integral of (5+x^3+2x)/x	\int\:\frac{5+x^{3}+2x}{x}dx
(\partial)/(\partial x)(3(x-6)^3)	\frac{\partial\:}{\partial\:x}(3(x-6)^{3})
derivative of 3-11sqrt(x^5)	derivative\:3-11\sqrt{x^{5}}
derivative of (x^3+1/(x^2-1))	\frac{d}{dx}(\frac{x^{3}+1}{x^{2}-1})
sum from n=1 to infinity of n/(8^n)	\sum\:_{n=1}^{\infty\:}\frac{n}{8^{n}}
(\partial)/(\partial y)(ysin(xz))	\frac{\partial\:}{\partial\:y}(y\sin(xz))
x^2yy^'=e^y	x^{2}yy^{\prime\:}=e^{y}
y^'=y^2-3	y^{\prime\:}=y^{2}-3
area y=x^2-4x,y=2x	area\:y=x^{2}-4x,y=2x
integral of 1/(xsqrt(225-x^2))	\int\:\frac{1}{x\sqrt{225-x^{2}}}dx
integral of-sin(x)cos^7(x)	\int\:-\sin(x)\cos^{7}(x)dx
(dy)/(dx)=((x-4))/((y+3))	\frac{dy}{dx}=\frac{(x-4)}{(y+3)}
derivative of \sqrt[5]{x}(x-2)	derivative\:\sqrt[5]{x}(x-2)
limit as x approaches 1+of x-1	\lim\:_{x\to\:1+}(x-1)
integral of 4+6x+36x^2	\int\:4+6x+36x^{2}dx
derivative of (((10-x))/4)^2+(x^2)/(4pi)	derivative\:(\frac{(10-x)}{4})^{2}+\frac{x^{2}}{4π}
integral of xsin(10-x)	\int\:x\sin(10-x)dx
integral from 6 to 7 of tsin(pit)	\int\:_{6}^{7}t\sin(πt)dt
derivative of log_{12}(x^2+nx)	\frac{d}{dx}(\log_{12}(x^{2}+nx))
derivative of 2sinh(x/5)	\frac{d}{dx}(2\sinh(\frac{x}{5}))
limit as x approaches 1 of x/(x^2-1)	\lim\:_{x\to\:1}(\frac{x}{x^{2}-1})

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