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Popular Calculus Problems

(\partial)/(\partial x)(x(x^2+y^2+z^2-1))	\frac{\partial\:}{\partial\:x}(x(x^{2}+y^{2}+z^{2}-1))
limit as x approaches 1-of x^2-5	\lim\:_{x\to\:1-}(x^{2}-5)
derivative of-1/((x-2^2))	\frac{d}{dx}(-\frac{1}{(x-2)^{2}})
derivative of y-y=2	\frac{d}{dx}y-y=2
integral of (2x+1)/(x^2+x-2)	\int\:\frac{2x+1}{x^{2}+x-2}dx
derivative of x/(y^2+x^2)	\frac{d}{dx}(\frac{x}{y^{2}+x^{2}})
integral of x/(sqrt(-x^2+4x+4))	\int\:\frac{x}{\sqrt{-x^{2}+4x+4}}dx
limit as x approaches infinity of (4^{x+1}+2^x)/(4^x)	\lim\:_{x\to\:\infty\:}(\frac{4^{x+1}+2^{x}}{4^{x}})
derivative of-7ln(5x^2-11)	\frac{d}{dx}(-7\ln(5x^{2}-11))
integral from 2 to 3 of 1/(-7+16x-4x^2)	\int\:_{2}^{3}\frac{1}{-7+16x-4x^{2}}dx
integral of 10^{x^2}x	\int\:10^{x^{2}}xdx
limit as x approaches-infinity of x^3e^x	\lim\:_{x\to\:-\infty\:}(x^{3}e^{x})
limit as x approaches-2-of f(x)x	\lim\:_{x\to\:-2-}(f(x)x)
limit as x approaches 0 of 2/(x^3+x)	\lim\:_{x\to\:0}(\frac{2}{x^{3}+x})
derivative of y=pi	derivative\:y=π
(\partial)/(\partial x)(x^3y^4+x^4y^3)	\frac{\partial\:}{\partial\:x}(x^{3}y^{4}+x^{4}y^{3})
(\partial)/(\partial x)(e^{6/x})	\frac{\partial\:}{\partial\:x}(e^{\frac{6}{x}})
d/(dt)(e^{-t}(2cos(t/2)-3sin(t/2)))	\frac{d}{dt}(e^{-t}(2\cos(\frac{t}{2})-3\sin(\frac{t}{2})))
(x^2+16)(dy)/(dx)+xy-4x=0	(x^{2}+16)\frac{dy}{dx}+xy-4x=0
derivative of 7/(4x^5)	derivative\:\frac{7}{4x^{5}}
(dx)/(dt)=((6x)/(2000+12t))	\frac{dx}{dt}=(\frac{6x}{2000+12t})
integral from 1 to 4 of 1e^{sqrt(x)}	\int\:_{1}^{4}1e^{\sqrt{x}}dx
(\partial)/(\partial x)(3x^2)	\frac{\partial\:}{\partial\:x}(3x^{2})
derivative of g(x)=2x^2	derivative\:g(x)=2x^{2}
derivative of cos^2(x-1)	\frac{d}{dx}(\cos^{2}(x)-1)
integral of e^{5sqrt(x)}	\int\:e^{5\sqrt{x}}dx
sum from n=0 to infinity of 1+n	\sum\:_{n=0}^{\infty\:}1+n
integral of (5x)/(x^4-16)	\int\:\frac{5x}{x^{4}-16}dx
derivative of 2e^{4x}	\frac{d}{dx}(2e^{4x})
y^{''}+2y^'=-8	y^{\prime\:\prime\:}+2y^{\prime\:}=-8
(x+1)y^'=-2y+(x+1)^{5/2},y(0)= 11/9	(x+1)y^{\prime\:}=-2y+(x+1)^{\frac{5}{2}},y(0)=\frac{11}{9}
derivative of 0.41sqrt(x)	\frac{d}{dx}(0.41\sqrt{x})
(\partial)/(\partial x)(1)	\frac{\partial\:}{\partial\:x}(1)
integral of x^3e^{x^2}	\int\:x^{3}e^{x^{2}}dx
integral of-xsin(x)cos(x)	\int\:-x\sin(x)\cos(x)dx
integral of 1/3 sin(x-3)+e^{x+3}+x^{-3}	\int\:\frac{1}{3}\sin(x-3)+e^{x+3}+x^{-3}dx
limit as x approaches 0 of (2+x)^3-8	\lim\:_{x\to\:0}((2+x)^{3}-8)
integral of (2x-1)/(sqrt(x^2+4x+5))	\int\:\frac{2x-1}{\sqrt{x^{2}+4x+5}}dx
(\partial)/(\partial z)(2xy-z^2)	\frac{\partial\:}{\partial\:z}(2xy-z^{2})
integral of x*e^{(x^2)/2}	\int\:x\cdot\:e^{\frac{x^{2}}{2}}dx
derivative of-9e^xsin(x)+9e^xcos(x)	derivative\:-9e^{x}\sin(x)+9e^{x}\cos(x)
integral of 1/(xsqrt(1-ln^2(x)))	\int\:\frac{1}{x\sqrt{1-\ln^{2}(x)}}dx
d/(dθ)(-3sin(θ))	\frac{d}{dθ}(-3\sin(θ))
integral of 5sin(x)cos(x)	\int\:5\sin(x)\cos(x)dx
integral of (-3sqrt(x)+2x)	\int\:(-3\sqrt{x}+2x)dx
integral from 2 to 5 of (2-x)(x-5)	\int\:_{2}^{5}(2-x)(x-5)dx
(\partial)/(\partial x)(1-5/y+x)	\frac{\partial\:}{\partial\:x}(1-\frac{5}{y}+x)
derivative of sqrt(x)(3x-4)	derivative\:\sqrt{x}(3x-4)
integral of 2/(1+x^2+y^2)	\int\:\frac{2}{1+x^{2}+y^{2}}dy
derivative of (3x/4)	\frac{d}{dx}(\frac{3x}{4})
derivative of 1/(4x)	derivative\:\frac{1}{4x}
limit as h approaches 0 of-2-h	\lim\:_{h\to\:0}(-2-h)
g(x)=((ln(x-x^2)))/8+\sqrt[3]{x}	g(x)=\frac{(\ln(x-x^{2}))}{8}+\sqrt[3]{x}
y^'=k(80-y)(50-y)	y^{\prime\:}=k(80-y)(50-y)
integral of x/(x^2+25)	\int\:\frac{x}{x^{2}+25}dx
(\partial)/(\partial x)(4x+2y+2)	\frac{\partial\:}{\partial\:x}(4x+2y+2)
derivative of 12x^2	derivative\:12x^{2}
laplacetransform (t-6.8)sin(6.2t)	laplacetransform\:(t-6.8)\sin(6.2t)
derivative of tan(4x^3)	\frac{d}{dx}(\tan(4)x^{3})
(\partial)/(\partial u)(2usin(v))	\frac{\partial\:}{\partial\:u}(2u\sin(v))
tangent of f(x)=x^2-9,(-4,7)	tangent\:f(x)=x^{2}-9,(-4,7)
derivative of (x^2/(7+sqrt(x)))	\frac{d}{dx}(\frac{x^{2}}{7+\sqrt{x}})
integral from-infinity to 0 of 1/(2-4x)	\int\:_{-\infty\:}^{0}\frac{1}{2-4x}dx
integral from a to b of f(x)	\int\:_{a}^{b}f(x)dx
(ln(x/4))^'	(\ln(\frac{x}{4}))^{\prime\:}
integral of 2x(2-x)	\int\:2x(2-x)dx
derivative of 3^{2^{x^2}}	derivative\:3^{2^{x^{2}}}
limit as x approaches 0 of (sin(x^7))/x	\lim\:_{x\to\:0}(\frac{\sin(x^{7})}{x})
limit as x approaches-2+of (-1)/(x^2-4)	\lim\:_{x\to\:-2+}(\frac{-1}{x^{2}-4})
integral of s5^s	\int\:s5^{s}ds
derivative of 1/(x^3)	derivative\:\frac{1}{x^{3}}
derivative of sin(tan(2x))	derivative\:\sin(\tan(2x))
(\partial)/(\partial s)(2st)	\frac{\partial\:}{\partial\:s}(2st)
y^'=y(4-y)	y^{\prime\:}=y(4-y)
(ln(x))^'	(\ln(x))^{\prime\:}
(d^2)/(dx^2)(x^7e^x)	\frac{d^{2}}{dx^{2}}(x^{7}e^{x})
(d^2)/(dx^2)(sqrt(x^2+49))	\frac{d^{2}}{dx^{2}}(\sqrt{x^{2}+49})
integral of cos(m)x	\int\:\cos(m)xdx
(d^2)/(dx^2)((x^2+8)^9)	\frac{d^{2}}{dx^{2}}((x^{2}+8)^{9})
lcm f(x)=,5+4x-3x^2\at x	lcm\:f(x)=,5+4x-3x^{2}\at\:x
integral of 7x^3(x-1)^{-4}	\int\:7x^{3}(x-1)^{-4}dx
derivative of y=(a-x)/(a+x)	derivative\:y=\frac{a-x}{a+x}
(dy)/(dx)-y/x = x/y	\frac{dy}{dx}-\frac{y}{x}=\frac{x}{y}
area sqrt(x), 1/2 x,x=9	area\:\sqrt{x},\frac{1}{2}x,x=9
(\partial)/(\partial x)(-xe^{3xy})	\frac{\partial\:}{\partial\:x}(-xe^{3xy})
integral from-1 to 5 of (3e^{-x})^2	\int\:_{-1}^{5}(3e^{-x})^{2}dx
integral of (2x)/(\sqrt[3]{9-x^2)}	\int\:\frac{2x}{\sqrt[3]{9-x^{2}}}dx
limit as x approaches 1-of x^{(1/(1-x))}	\lim\:_{x\to\:1-}(x^{(\frac{1}{1-x})})
d/(d{z)}({x}{y}e^{{z}})	\frac{d}{d{z}}({x}{y}e^{{z}})
derivative of f(x)=ln(sqrt(x)+9)	derivative\:f(x)=\ln(\sqrt{x}+9)
(dy)/(dx)=e^{3x}+2y	\frac{dy}{dx}=e^{3x}+2y
integral from 1 to 10 of (13)/(x^3)	\int\:_{1}^{10}\frac{13}{x^{3}}dx
integral of 7cos(pix)cos(4pix)	\int\:7\cos(πx)\cos(4πx)dx
(\partial)/(\partial x)(8y^6x^7-7y^5x^6)	\frac{\partial\:}{\partial\:x}(8y^{6}x^{7}-7y^{5}x^{6})
tangent of y=3x^2+4x+4,(1,1)	tangent\:y=3x^{2}+4x+4,(1,1)
area-0.0087x^2-0.4587x+18.031,[0,15]	area\:-0.0087x^{2}-0.4587x+18.031,[0,15]
derivative of (e^x/(2x^2+9))	\frac{d}{dx}(\frac{e^{x}}{2x^{2}+9})
xyy^'=1-x^2	x\cdot\:y\cdot\:y^{\prime\:}=1-x^{2}
derivative of (x^3-x/x)	\frac{d}{dx}(\frac{x^{3}-x}{x})
derivative of 4/((x^3+9^5))	\frac{d}{dx}(\frac{4}{(x^{3}+9)^{5}})

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