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Popular Calculus Problems

limit as x approaches-7+of (-6x)/(x+7)	\lim\:_{x\to\:-7+}(\frac{-6x}{x+7})
derivative of f(θ)=sqrt(3θ)	derivative\:f(θ)=\sqrt{3θ}
d/(d{x)}((8{x)/y {z}}{({x}^2+1)^2})	\frac{d}{d{x}}(\frac{8{x}{y}{z}}{({x}^{2}+1)^{2}})
integral of x^3-3x^2-x+3	\int\:x^{3}-3x^{2}-x+3dx
(\partial)/(\partial y)(3)	\frac{\partial\:}{\partial\:y}(3)
integral of sin^2(6x)	\int\:\sin^{2}(6x)dx
(\partial)/(\partial y)(ycos(yz))	\frac{\partial\:}{\partial\:y}(y\cos(yz))
derivative of x^3+3x^2-2	\frac{d}{dx}(x^{3}+3x^{2}-2)
y^'=(1+x)(1+y)	y^{\prime\:}=(1+x)(1+y)
limit as x approaches 0 of ((5e^x-5))/x	\lim\:_{x\to\:0}(\frac{(5e^{x}-5)}{x})
(\partial)/(\partial y)(x^2-3y^2+7)	\frac{\partial\:}{\partial\:y}(x^{2}-3y^{2}+7)
integral of ((x+1))/((x-1))	\int\:\frac{(x+1)}{(x-1)}dx
limit as x approaches 1+of 2	\lim\:_{x\to\:1+}(2)
tangent of f(x)=sqrt(x),(16,4)	tangent\:f(x)=\sqrt{x},(16,4)
limit as x approaches 5 of 2x^2-5x+3	\lim\:_{x\to\:5}(2x^{2}-5x+3)
derivative of y=sqrt(x+8)	derivative\:y=\sqrt{x+8}
derivative of (-4x/(x^2+1))	\frac{d}{dx}(\frac{-4x}{x^{2}+1})
derivative of f(x)=(x^3-3x^2+4)/(x^2)	derivative\:f(x)=\frac{x^{3}-3x^{2}+4}{x^{2}}
area 5-x^2,sin(x),-2.38468,2.02521	area\:5-x^{2},\sin(x),-2.38468,2.02521
laplacetransform 7e^{3t}-8e^{-t}+3	laplacetransform\:7e^{3t}-8e^{-t}+3
integral of tan^{-3}(x)sec^4(x)	\int\:\tan^{-3}(x)\sec^{4}(x)dx
integral from-10 to x of sqrt(t^2+11)	\int\:_{-10}^{x}\sqrt{t^{2}+11}dt
tangent of f(x)= 8/x ,\at x=1	tangent\:f(x)=\frac{8}{x},\at\:x=1
(\partial}{\partial x}(sin(\frac{5x)/y))	\frac{\partial\:}{\partial\:x}(\sin(\frac{5x}{y}))
(\partial)/(\partial x)((3xy-1)e^{-xy})	\frac{\partial\:}{\partial\:x}((3xy-1)e^{-xy})
integral of 2/(3x+1)	\int\:\frac{2}{3x+1}dx
integral from 4 to 8 of ln(x^2)	\int\:_{4}^{8}\ln(x^{2})dx
integral from 0 to pi/3 of xsec^2(x)	\int\:_{0}^{\frac{π}{3}}x\sec^{2}(x)dx
area 2x,x^2	area\:2x,x^{2}
integral of (2x+y+z)/((x+y)(x+z))	\int\:\frac{2x+y+z}{(x+y)(x+z)}dx
tangent of 8x^2-7x,\at 9	tangent\:8x^{2}-7x,\at\:9
y^3-(6x+8)+3xy^2y^'=0	y^{3}-(6x+8)+3xy^{2}y^{\prime\:}=0
4y^{''}+4y^'+1y=0,y(2)=-6,y^'(2)=4	4y^{\prime\:\prime\:}+4y^{\prime\:}+1y=0,y(2)=-6,y^{\prime\:}(2)=4
integral from 3 to 6 of x/(sqrt(x-3))	\int\:_{3}^{6}\frac{x}{\sqrt{x-3}}dx
limit as k approaches infinity of 1/k	\lim\:_{k\to\:\infty\:}(\frac{1}{k})
integral of (sin(x)cos(x))^2	\int\:(\sin(x)\cos(x))^{2}dx
derivative of-2x^2-5	\frac{d}{dx}(-2x^{2}-5)
area y=x^2-2,y=2	area\:y=x^{2}-2,y=2
implicit 2x^2+y^2=9	implicit\:2x^{2}+y^{2}=9
area e^x,e^{-4x},ln(3)	area\:e^{x},e^{-4x},\ln(3)
derivative of f(x)=7e^x+x	derivative\:f(x)=7e^{x}+x
integral of e*t^2	\int\:e\cdot\:t^{2}dt
simplify x^{-5}+x^{1/2}	simplify\:x^{-5}+x^{\frac{1}{2}}
(\partial)/(\partial x)(2e^{x-y})	\frac{\partial\:}{\partial\:x}(2e^{x-y})
derivative of log_{10}(icos(x))	\frac{d}{dx}(\log_{10}(i)\cos(x))
limit as x approaches-7 of 2/(x^2(x+7))	\lim\:_{x\to\:-7}(\frac{2}{x^{2}(x+7)})
2y^2+3xy+(2xy+x^2)y^'=0	2y^{2}+3xy+(2xy+x^{2})y^{\prime\:}=0
integral of x*cos(x^2)	\int\:x\cdot\:\cos(x^{2})dx
y^{''}+5y^'=0,y(0)=0	y^{\prime\:\prime\:}+5y^{\prime\:}=0,y(0)=0
derivative of 2x+5x^{2/5}	derivative\:2x+5x^{\frac{2}{5}}
d/(dt)(t+8)	\frac{d}{dt}(t+8)
integral from 1 to 2 of 4x^2ln(x)	\int\:_{1}^{2}4x^{2}\ln(x)dx
tangent of f(x)= x/(x^2+4),\at x=0	tangent\:f(x)=\frac{x}{x^{2}+4},\at\:x=0
integral from 0 to 1 of (28)/(x^2-49)	\int\:_{0}^{1}\frac{28}{x^{2}-49}dx
6y^{''}-6y^'+15y=0	6y^{\prime\:\prime\:}-6y^{\prime\:}+15y=0
integral of (7sqrt(x))/(x^3+1)	\int\:\frac{7\sqrt{x}}{x^{3}+1}dx
derivative of y=(x+7)(7sqrt(x)+2)	derivative\:y=(x+7)(7\sqrt{x}+2)
derivative of x^3(8-3x)	\frac{d}{dx}(x^{3}(8-3x))
derivative of (1+6x^2(x-x^2))	\frac{d}{dx}((1+6x^{2})(x-x^{2}))
inverse oflaplace (s+1)e^{-spi}	inverselaplace\:(s+1)e^{-sπ}
(dy)/(dx)=(x^2)	\frac{dy}{dx}=(x^{2})
integral of (0)	\int\:(0)dx
3y^'+7y=4e^{-x}	3y^{\prime\:}+7y=4e^{-x}
(dy)/(dx)=-2xtan(y)	\frac{dy}{dx}=-2x\tan(y)
limit as x approaches 8-of sqrt(x-8)	\lim\:_{x\to\:8-}(\sqrt{x-8})
tangent of f(x)=(e^{2x}-4)^2,(0,9)	tangent\:f(x)=(e^{2x}-4)^{2},(0,9)
limit as x approaches 0 of (2cos(x)-2)/x	\lim\:_{x\to\:0}(\frac{2\cos(x)-2}{x})
limit as x approaches infinity of 7^x	\lim\:_{x\to\:\infty\:}(7^{x})
integral of (cos^2(x))/(sqrt(x))	\int\:\frac{\cos^{2}(x)}{\sqrt{x}}dx
limit as x approaches infinity of 3^x-1	\lim\:_{x\to\:\infty\:}(3^{x}-1)
derivative of (-x^2+6x-4^5)	\frac{d}{dx}((-x^{2}+6x-4)^{5})
derivative of (4-3x-x^2/(x^2-6))	\frac{d}{dx}(\frac{4-3x-x^{2}}{x^{2}-6})
sum from n=0 to infinity of 1/((n+1)!)	\sum\:_{n=0}^{\infty\:}\frac{1}{(n+1)!}
f(x)=2xcos(x)	f(x)=2x\cos(x)
tangent of f(x)=5x^2-6x+1,\at x=2	tangent\:f(x)=5x^{2}-6x+1,\at\:x=2
integral of (x^3-1)e^{-x/3}	\int\:(x^{3}-1)e^{-\frac{x}{3}}dx
derivative of-(120/(x^6))	\frac{d}{dx}(-\frac{120}{x^{6}})
d/(dz)(xy)	\frac{d}{dz}(xy)
x^3y^'+2x^2y=-4cos(2x)y^{-1/2}	x^{3}y^{\prime\:}+2x^{2}y=-4\cos(2x)y^{-\frac{1}{2}}
limit as x approaches 1 of 5/(x^3-1)	\lim\:_{x\to\:1}(\frac{5}{x^{3}-1})
sum from n=0 to infinity of 4n^2	\sum\:_{n=0}^{\infty\:}4n^{2}
derivative of-6cos(x/2+5x)	\frac{d}{dx}(-6\cos(\frac{x}{2})+5x)
integral of 2ysin(x)+2	\int\:2y\sin(x)+2dy
f(x)=x^{sqrt(x)}	f(x)=x^{\sqrt{x}}
limit as x approaches 0 of ((1-x)^n-1)/x	\lim\:_{x\to\:0}(\frac{(1-x)^{n}-1}{x})
integral of (x-2)/(x-1)	\int\:\frac{x-2}{x-1}dx
integral of x^3e^{x/2}	\int\:x^{3}e^{\frac{x}{2}}dx
derivative of (3x^2+7^3)	\frac{d}{dx}((3x^{2}+7)^{3})
limit as x approaches+2-of sqrt(x(x-1))	\lim\:_{x\to\:+2-}(\sqrt{x(x-1)})
integral of (2x^3)/((x^2+1)^2)	\int\:\frac{2x^{3}}{(x^{2}+1)^{2}}dx
derivative of ((x+1)/((x^3+x-2)))	\frac{d}{dx}(\frac{(x+1)}{(x^{3}+x-2)})
tangent of (2x)/(x^2+1)	tangent\:\frac{2x}{x^{2}+1}
slope of (0,-5),(-3,5)	slope\:(0,-5),(-3,5)
limit as x approaches 0-of e^{4/x}	\lim\:_{x\to\:0-}(e^{\frac{4}{x}})
(\partial)/(\partial y)(x+ye^{y/x})	\frac{\partial\:}{\partial\:y}(x+ye^{\frac{y}{x}})
(\partial)/(\partial y)(e^{-x}+y^2)	\frac{\partial\:}{\partial\:y}(e^{-x}+y^{2})
(\partial)/(\partial x)(9xsin(5x^2y))	\frac{\partial\:}{\partial\:x}(9x\sin(5x^{2}y))
limit as x approaches infinity of 8-e^x	\lim\:_{x\to\:\infty\:}(8-e^{x})
integral of (3(x-3)^2)/(16)	\int\:\frac{3(x-3)^{2}}{16}dx
integral of (x+7)	\int\:(x+7)dx

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