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Popular Calculus Problems

(\partial)/(\partial v)(u-v)	\frac{\partial\:}{\partial\:v}(u-v)
integral of-3x^2-12x+15	\int\:-3x^{2}-12x+15dx
integral from 0 to 1 of 3/(x^5)	\int\:_{0}^{1}\frac{3}{x^{5}}dx
integral of (e^x+sin(x)+x)	\int\:(e^{x}+\sin(x)+x)dx
limit as x approaches 0 of (2x)/(x^2)	\lim\:_{x\to\:0}(\frac{2x}{x^{2}})
limit as x approaches 0 of-cos(x)	\lim\:_{x\to\:0}(-\cos(x))
integral of 6x-x^2	\int\:6x-x^{2}dx
derivative of 3x^2-2x-8	\frac{d}{dx}(3x^{2}-2x-8)
sqrt(y)dx+(x-8)dy=0,y(9)=36	\sqrt{y}dx+(x-8)dy=0,y(9)=36
integral of 1/(x(1-sqrt(x))^2)	\int\:\frac{1}{x(1-\sqrt{x})^{2}}dx
(x+1)(dy)/(dx)=-y+10	(x+1)\frac{dy}{dx}=-y+10
tangent of y=x^2-6,(-2,-2)	tangent\:y=x^{2}-6,(-2,-2)
integral from 0 to 4 of sqrt(x)	\int\:_{0}^{4}\sqrt{x}dx
integral of 5tan^3(sin(x))cos(x)	\int\:5\tan^{3}(\sin(x))\cos(x)dx
area-x^2,[0,2]	area\:-x^{2},[0,2]
(\partial)/(\partial x)(tan(x^2))	\frac{\partial\:}{\partial\:x}(\tan(x^{2}))
(\partial)/(\partial x)(x+t)	\frac{\partial\:}{\partial\:x}(x+t)
(dy)/(dx)+3y=40,y(1)=70	\frac{dy}{dx}+3y=40,y(1)=70
limit as x approaches (7)+of 1/((x-7)^2)	\lim\:_{x\to\:(7)+}(\frac{1}{(x-7)^{2}})
tangent of f(x)=5x^2+7x,\at-13	tangent\:f(x)=5x^{2}+7x,\at\:-13
(\partial)/(\partial x)((x-1)^2e^x)	\frac{\partial\:}{\partial\:x}((x-1)^{2}e^{x})
derivative of (132/(x^{13)})	\frac{d}{dx}(\frac{132}{x^{13}})
integral from 0 to infinity of 3xe^{-3x}	\int\:_{0}^{\infty\:}3xe^{-3x}dx
integral of (x^2-1)/(x^3-3x)	\int\:\frac{x^{2}-1}{x^{3}-3x}dx
integral of (x+6)/(sqrt(x))	\int\:\frac{x+6}{\sqrt{x}}dx
tangent of y=sqrt(4x+9),(4,5)	tangent\:y=\sqrt{4x+9},(4,5)
slope of-4-7x^2	slope\:-4-7x^{2}
y^{''}-8y^'+20=0	y^{\prime\:\prime\:}-8y^{\prime\:}+20=0
derivative of 1/2 sin(2x)	derivative\:\frac{1}{2}\sin(2x)
integral from-infinity to 12 of xe^{x/3}	\int\:_{-\infty\:}^{12}xe^{\frac{x}{3}}dx
integral from-2 to 2 of (x+7)sqrt(4-x^2)	\int\:_{-2}^{2}(x+7)\sqrt{4-x^{2}}dx
limit as x approaches 0 of (csc(x))/(3x)	\lim\:_{x\to\:0}(\frac{\csc(x)}{3x})
(\partial)/(\partial y)(x/y+y/z)	\frac{\partial\:}{\partial\:y}(\frac{x}{y}+\frac{y}{z})
(\partial)/(\partial z)(x^2y+yz^3+z^5x)	\frac{\partial\:}{\partial\:z}(x^{2}y+yz^{3}+z^{5}x)
limit as y approaches 0 of (y^2)/(y^2)	\lim\:_{y\to\:0}(\frac{y^{2}}{y^{2}})
integral of x^3sqrt(25+x^2)	\int\:x^{3}\sqrt{25+x^{2}}dx
integral of (5x^2)/(x^2+x-6)	\int\:\frac{5x^{2}}{x^{2}+x-6}dx
(\partial)/(\partial x)(2xcos(2y)-y^2)	\frac{\partial\:}{\partial\:x}(2x\cos(2y)-y^{2})
integral of (2x)/(x+1)	\int\:\frac{2x}{x+1}dx
limit as x approaches 0 of (g(x))/x	\lim\:_{x\to\:0}(\frac{g(x)}{x})
(dy)/(dx)=xe^{x-2y}	\frac{dy}{dx}=xe^{x-2y}
integral from 1 to 2 of (x^3+1/(4x^3))	\int\:_{1}^{2}(x^{3}+\frac{1}{4x^{3}})dx
(dy}{dx}-2/(3x)y+\frac{x^2+2)/3 y^4=0	\frac{dy}{dx}-\frac{2}{3x}y+\frac{x^{2}+2}{3}y^{4}=0
integral of x*ln(2x)	\int\:x\cdot\:\ln(2x)dx
y^'=y(1-0.0004y)	y^{\prime\:}=y(1-0.0004y)
area x=4y^2,x=8+2y^2	area\:x=4y^{2},x=8+2y^{2}
derivative of 3x^2e^{x^3}	\frac{d}{dx}(3x^{2}e^{x^{3}})
t^2y^'+2ty=3	t^{2}y^{\prime\:}+2ty=3
integral of 3/(x(x^2+25))	\int\:\frac{3}{x(x^{2}+25)}dx
simplify 6x^3+7/x	simplify\:6x^{3}+\frac{7}{x}
(4x^2)y^{''}+4xy^'=0	(4x^{2})y^{\prime\:\prime\:}+4xy^{\prime\:}=0
y^{''}+3y^'=5	y^{\prime\:\prime\:}+3y^{\prime\:}=5
area y=2(x-2)^2-15,y=-(x+2)^2+1	area\:y=2(x-2)^{2}-15,y=-(x+2)^{2}+1
(\partial)/(\partial x)(x+y+x^3y^2)	\frac{\partial\:}{\partial\:x}(x+y+x^{3}y^{2})
integral of 1/(x(x^2+x+1))	\int\:\frac{1}{x(x^{2}+x+1)}dx
integral of 9x^5e^x	\int\:9x^{5}e^{x}dx
inverse oflaplace 1/(s(s^2+200))	inverselaplace\:\frac{1}{s(s^{2}+200)}
derivative of x^{e^x}	derivative\:x^{e^{x}}
derivative of 2x^3-21x^2+60x	\frac{d}{dx}(2x^{3}-21x^{2}+60x)
integral of 1/(sqrt(4-25x^2))	\int\:\frac{1}{\sqrt{4-25x^{2}}}dx
integral from 0 to 1 of x/(x^2+9)	\int\:_{0}^{1}\frac{x}{x^{2}+9}dx
integral of 1/((3x+1)^2)	\int\:\frac{1}{(3x+1)^{2}}dx
taylor e^{(x-1)^2}	taylor\:e^{(x-1)^{2}}
integral from 0 to infinity of t^2	\int\:_{0}^{\infty\:}t^{2}dt
integral of (x^{-1/2})/(1+x^{1/2)}	\int\:\frac{x^{-\frac{1}{2}}}{1+x^{\frac{1}{2}}}dx
derivative of 1/(4x-3)	derivative\:\frac{1}{4x-3}
integral from 0 to 1 of 5e^{-3sqrt(x)}	\int\:_{0}^{1}5e^{-3\sqrt{x}}dx
integral from 7 to 9 of (x^2+2x-4)	\int\:_{7}^{9}(x^{2}+2x-4)dx
(dr)/(dθ)=10-6r	\frac{dr}{dθ}=10-6r
integral of (tan(z))/(cos^2(z))	\int\:\frac{\tan(z)}{\cos^{2}(z)}dz
limit as x approaches 1+of (4x-3)/(x-1)	\lim\:_{x\to\:1+}(\frac{4x-3}{x-1})
f(x)=ln(-x)	f(x)=\ln(-x)
derivative of x^7+1/(x^7+7x+7/x+7)	\frac{d}{dx}(x^{7}+\frac{1}{x^{7}}+7x+\frac{7}{x}+7)
(\partial)/(\partial x)(bx)	\frac{\partial\:}{\partial\:x}(bx)
(dy)/(dt)-2y=e^{2t}	\frac{dy}{dt}-2y=e^{2t}
(\partial)/(\partial x)(xzln(x+y+z))	\frac{\partial\:}{\partial\:x}(xz\ln(x+y+z))
(4dy)/(dx)=y^2	\frac{4dy}{dx}=y^{2}
derivative of arctan(sqrt(x))	derivative\:\arctan(\sqrt{x})
sum from n=1 to infinity of n/(sqrt(n))	\sum\:_{n=1}^{\infty\:}\frac{n}{\sqrt{n}}
derivative of f(x)=4^xx^4	derivative\:f(x)=4^{x}x^{4}
inverse oflaplace (e^{-2s})/(s-2)	inverselaplace\:\frac{e^{-2s}}{s-2}
integral of 1/((x^2sqrt(4-x^2)))	\int\:\frac{1}{(x^{2}\sqrt{4-x^{2}})}dx
integral of y^{1/2}	\int\:y^{\frac{1}{2}}dy
integral of e^{100t}*(sin(100t))/(0.01)	\int\:e^{100t}\cdot\:\frac{\sin(100t)}{0.01}dt
limit as n approaches infinity of (3n)/n	\lim\:_{n\to\:\infty\:}(\frac{3n}{n})
(\partial)/(\partial x)(cos^2(4pix))	\frac{\partial\:}{\partial\:x}(\cos^{2}(4πx))
(d^2)/(dx^2)(e^{-ax^2})	\frac{d^{2}}{dx^{2}}(e^{-ax^{2}})
limit as x approaches infinity of (sqrt(x))/(sqrt(x\sqrt{x\sqrt{x))}}	\lim\:_{x\to\:\infty\:}(\frac{\sqrt{x}}{\sqrt{x\sqrt{x\sqrt{x}}}})
integral of (-x^2+6x-5)	\int\:(-x^{2}+6x-5)dx
integral of (x-2)/(3x+6)	\int\:\frac{x-2}{3x+6}dx
derivative of sqrt(16-x^2-y^2)	\frac{d}{dx}(\sqrt{16-x^{2}-y^{2}})
integral of (x^3)/(x^2-36)	\int\:\frac{x^{3}}{x^{2}-36}dx
(\partial)/(\partial x)(e^{2x}*cos(x+y))	\frac{\partial\:}{\partial\:x}(e^{2x}\cdot\:\cos(x+y))
area y=\|2x\|,y=x^2-3	area\:y=\left\|2x\right\|,y=x^{2}-3
derivative of e^{-2x}(sin(3x+cos(3x)))	\frac{d}{dx}(e^{-2x}(\sin(3x)+\cos(3x)))
derivative of-8sin(4x)	\frac{d}{dx}(-8\sin(4x))
limit as x approaches 3+of x	\lim\:_{x\to\:3+}(x)
integral from 0 to 2 of x^2e^{x^3}	\int\:_{0}^{2}x^{2}e^{x^{3}}dx
limit as x approaches 1 of (x^2-1)/(x-1)	\lim\:_{x\to\:1}(\frac{x^{2}-1}{x-1})
integral of sqrt(y/3)	\int\:\sqrt{\frac{y}{3}}dy

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