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Popular Calculus Problems

slope of g(x)=5x^2-x+7	slope\:g(x)=5x^{2}-x+7
derivative of (8+7x^4)	\frac{d}{dx}((8+7x)^{4})
2{dy}{dx}=(21x^2)/y	2\left\{dy\right\}\left\{dx\right\}=\frac{21x^{2}}{y}
derivative of (x+ae^{2x}+b)	\frac{d}{dx}((x+a)e^{2x}+b)
integral of 7sqrt(16-2x)	\int\:7\sqrt{16-2x}dx
area 4x,x^2-5,[-2.2,0]	area\:4x,x^{2}-5,[-2.2,0]
integral of 30x(x+1)^4	\int\:30x(x+1)^{4}dx
derivative of (x^4+2^2(x^5+4)^4)	\frac{d}{dx}((x^{4}+2)^{2}(x^{5}+4)^{4})
integral of (x^4-(-sqrt(3)))	\int\:(x^{4}-(-\sqrt{3}))dx
limit as x approaches infinity of (3x)/x	\lim\:_{x\to\:\infty\:}(\frac{3x}{x})
integral of sqrt(3-2x-x^2)	\int\:\sqrt{3-2x-x^{2}}dx
(\partial)/(\partial x)(-1x^2-1y^2-3x+2y+1)	\frac{\partial\:}{\partial\:x}(-1x^{2}-1y^{2}-3x+2y+1)
integral of 3e^7	\int\:3e^{7}dx
area 9x^2+y=9,x^8-y=1	area\:9x^{2}+y=9,x^{8}-y=1
derivative of f(x)=sqrt(7x)-sqrt(2x)	derivative\:f(x)=\sqrt{7x}-\sqrt{2x}
integral of 1/((x-4)^5)	\int\:\frac{1}{(x-4)^{5}}dx
derivative of f(x)= 1/(sqrt(x^2+2x-5))	derivative\:f(x)=\frac{1}{\sqrt{x^{2}+2x-5}}
integral from 0 to 1 of 1/((1+x^2)^2)	\int\:_{0}^{1}\frac{1}{(1+x^{2})^{2}}dx
derivative of f(x)=ln(x^2-18x)	derivative\:f(x)=\ln(x^{2}-18x)
derivative of (x^4)	\frac{d}{dx}((x)^{4})
derivative of (-x^3/3)	\frac{d}{dx}(\frac{-x^{3}}{3})
integral of (x-3)/(x^4-3x^2+2x)	\int\:\frac{x-3}{x^{4}-3x^{2}+2x}dx
derivative of ln(7-6x)	derivative\:\ln(7-6x)
slope of (32,-39),(17,6)	slope\:(32,-39),(17,6)
derivative of (x^{12}/(x^{-2)})	\frac{d}{dx}(\frac{x^{12}}{x^{-2}})
(\partial)/(\partial x)((x^2+1)/(x^2-1))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}+1}{x^{2}-1})
limit as x approaches 0-of 2xe^{2x}+kx	\lim\:_{x\to\:0-}(2xe^{2x}+kx)
udx+(1-3u)xdu=3udu	udx+(1-3u)xdu=3udu
integral of 7/(sqrt(x))	\int\:\frac{7}{\sqrt{x}}dx
(\partial)/(\partial x)(e^{x+y+8})	\frac{\partial\:}{\partial\:x}(e^{x+y+8})
integral from 0 to 2ln(7) of (5e^{x/2})	\int\:_{0}^{2\ln(7)}(5e^{\frac{x}{2}})dx
tangent of 6x^2-5	tangent\:6x^{2}-5
(\partial)/(\partial x)(sin(5x+5y))	\frac{\partial\:}{\partial\:x}(\sin(5x+5y))
sum from n=1 to infinity of sin^2(n)	\sum\:_{n=1}^{\infty\:}\sin^{2}(n)
tangent of f(x)=sqrt(x),(81,9)	tangent\:f(x)=\sqrt{x},(81,9)
laplacetransform 3e^{-5t}+6e^{-3t}	laplacetransform\:3e^{-5t}+6e^{-3t}
f(x)=x^{10}	f(x)=x^{10}
integral from 0 to pi of 7sin^2(tco)s^4t	\int\:_{0}^{π}7\sin^{2}(tco)s^{4}tdt
inverse oflaplace (s+6)/(s^3-3s^2+3s-1)	inverselaplace\:\frac{s+6}{s^{3}-3s^{2}+3s-1}
limit as x approaches-4 of-2x+7	\lim\:_{x\to\:-4}(-2x+7)
derivative of 2y^2	derivative\:2y^{2}
derivative of cos^3(sin(2x))	\frac{d}{dx}(\cos^{3}(\sin(2x)))
factor 15x^4-4x^3	factor\:15x^{4}-4x^{3}
integral of 10x^{3/7}+7x^{-6/7}	\int\:10x^{\frac{3}{7}}+7x^{-\frac{6}{7}}dx
limit as x approaches 10 of x^2	\lim\:_{x\to\:10}(x^{2})
y^{''}+0.2121y^'+2y=cos(4x),y(0)=0	y^{\prime\:\prime\:}+0.2121y^{\prime\:}+2y=\cos(4x),y(0)=0
integral of ((ln(x^{15})))/x	\int\:\frac{(\ln(x^{15}))}{x}dx
tangent of 5xe^x	tangent\:5xe^{x}
integral from 1 to 7 of 5/x	\int\:_{1}^{7}\frac{5}{x}dx
area x=y^2+6y,y=x	area\:x=y^{2}+6y,y=x
sum from n=0 to infinity of x^{n+5}	\sum\:_{n=0}^{\infty\:}x^{n+5}
limit as x approaches 4+of 7/(x-4)	\lim\:_{x\to\:4+}(\frac{7}{x-4})
derivative of f(x)=sqrt(1+\sqrt{x)}	derivative\:f(x)=\sqrt{1+\sqrt{x}}
area 1/x , 1/(x^2),2	area\:\frac{1}{x},\frac{1}{x^{2}},2
integral of (sin(t))/(t^2)	\int\:\frac{\sin(t)}{t^{2}}dt
y^{''}+6y^'+9y=(-16e^{-3t})/(t^2+1)	y^{\prime\:\prime\:}+6y^{\prime\:}+9y=\frac{-16e^{-3t}}{t^{2}+1}
inverse oflaplace (s+5)/(s^2+5s+6)	inverselaplace\:\frac{s+5}{s^{2}+5s+6}
derivative of (x-1/(x^2+2x+1))	\frac{d}{dx}(\frac{x-1}{x^{2}+2x+1})
integral of (2x)/((x^2+1))	\int\:\frac{2x}{(x^{2}+1)}dx
derivative of (x^2-4x+3/(\sqrt[3]{x)})	\frac{d}{dx}(\frac{x^{2}-4x+3}{\sqrt[3]{x}})
(\partial ^2)/(\partial y^2)(xy^2-6x^2-3y^2)	\frac{\partial\:^{2}}{\partial\:y^{2}}(xy^{2}-6x^{2}-3y^{2})
integral from 0 to 1 of e^{5x}	\int\:_{0}^{1}e^{5x}dx
limit as y approaches 2 of (y^2-4)/(y+2)	\lim\:_{y\to\:2}(\frac{y^{2}-4}{y+2})
derivative of (2x^2+1)^{3/2}	derivative\:(2x^{2}+1)^{\frac{3}{2}}
implicit (dy)/(dx),x^2=(5x+4y)/(5x-4y)	implicit\:\frac{dy}{dx},x^{2}=\frac{5x+4y}{5x-4y}
inverse oflaplace 2/(3s+1)	inverselaplace\:\frac{2}{3s+1}
normal of y= 4/(2x+8),(0, 1/2)	normal\:y=\frac{4}{2x+8},(0,\frac{1}{2})
derivative of 2x^2+4x-10	\frac{d}{dx}(2x^{2}+4x-10)
derivative of (e^{-x^3}/x)	\frac{d}{dx}(\frac{e^{-x^{3}}}{x})
inverse oflaplace 1/(s^2+2s+10)	inverselaplace\:\frac{1}{s^{2}+2s+10}
integral of (5x^2)/((x-2)(x^2+4))	\int\:\frac{5x^{2}}{(x-2)(x^{2}+4)}dx
derivative of sqrt(x+1)*e^{sqrt(x)}	\frac{d}{dx}(\sqrt{x+1}\cdot\:e^{\sqrt{x}})
tangent of 7/(x^2)	tangent\:\frac{7}{x^{2}}
integral of tan^5(4x)	\int\:\tan^{5}(4x)dx
integral of x/(3x^2+8x-3)	\int\:\frac{x}{3x^{2}+8x-3}dx
x^{''}+3x^'+2x=0	x^{\prime\:\prime\:}+3x^{\prime\:}+2x=0
derivative of x+4	derivative\:x+4
(dy}{dx}+\frac{6y)/x =x	\frac{dy}{dx}+\frac{6y}{x}=x
limit as x approaches 4 of arctan((x^2-16)/(7x^2-28x))	\lim\:_{x\to\:4}(\arctan(\frac{x^{2}-16}{7x^{2}-28x}))
integral of 1/((2x+1))	\int\:\frac{1}{(2x+1)}dx
(\partial)/(\partial x)(2xe^{3xy})	\frac{\partial\:}{\partial\:x}(2xe^{3xy})
(sin(x)cos(y))dx+(cos(x)sin(y))dy=0	(\sin(x)\cos(y))dx+(\cos(x)\sin(y))dy=0
derivative of-x^4-6x^3+8x-6	derivative\:-x^{4}-6x^{3}+8x-6
derivative of x^2arctan(x^3)	\frac{d}{dx}(x^{2}\arctan(x^{3}))
tangent of x^3+4x^2+7x+1	tangent\:x^{3}+4x^{2}+7x+1
sum from n=2 to infinity of 6/(7^n)	\sum\:_{n=2}^{\infty\:}\frac{6}{7^{n}}
limit as x approaches-3 of (2x)/(x^2+4)	\lim\:_{x\to\:-3}(\frac{2x}{x^{2}+4})
xy^'-2y=2x^2	xy^{\prime\:}-2y=2x^{2}
y^{''}+y^'-42y=0	y^{\prime\:\prime\:}+y^{\prime\:}-42y=0
integral of (5x^2)/((a^2-x^2)^{3/2)}	\int\:\frac{5x^{2}}{(a^{2}-x^{2})^{\frac{3}{2}}}dx
tangent of f(x)=e^x,\at x=ln(10)	tangent\:f(x)=e^{x},\at\:x=\ln(10)
derivative of tan(sin(x^3))	derivative\:\tan(\sin(x^{3}))
(dy}{dx}=-\frac{y+1)/x	\frac{dy}{dx}=-\frac{y+1}{x}
derivative of f(x)=(x^2+1)^3(x^2+2)^6	derivative\:f(x)=(x^{2}+1)^{3}(x^{2}+2)^{6}
derivative of xlog_{10}(2/x)	\frac{d}{dx}(x\log_{10}(\frac{2}{x}))
integral of (x^2-1)/x	\int\:\frac{x^{2}-1}{x}dx
integral of (-x+1)/(x^2+1)	\int\:\frac{-x+1}{x^{2}+1}dx
maclaurin (1/3)^x	maclaurin\:(\frac{1}{3})^{x}
integral from 0 to 1 of sqrt(2x+1)	\int\:_{0}^{1}\sqrt{2x+1}dx
limit as x approaches infinity+of sqrt(25x^4+9x)-5x^2	\lim\:_{x\to\:\infty\:+}(\sqrt{25x^{4}+9x}-5x^{2})

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