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Popular Calculus Problems

derivative of 7x^2	derivative\:7x^{2}
(\partial)/(\partial x)(xe^{yx^2}sin(x))	\frac{\partial\:}{\partial\:x}(xe^{yx^{2}}\sin(x))
integral from 0 to 1 of 1	\int\:_{0}^{1}1
integral of 3/2	\int\:\frac{3}{2}dx
limit as x approaches 4 of x^2-x-12	\lim\:_{x\to\:4}(x^{2}-x-12)
integral of 1/((1+cos(x)))	\int\:\frac{1}{(1+\cos(x))}dx
limit as x approaches infinity of x(x+1)	\lim\:_{x\to\:\infty\:}(x(x+1))
derivative of f(x)= x/(x^2+2)	derivative\:f(x)=\frac{x}{x^{2}+2}
limit as x approaches 6 of 1/x-1/6	\lim\:_{x\to\:6}(\frac{1}{x}-\frac{1}{6})
f(t)=-3sin(t)	f(t)=-3\sin(t)
derivative of 3*4^x	derivative\:3\cdot\:4^{x}
derivative of cos^2(4x)	\frac{d}{dx}(\cos^{2}(4x))
derivative of (x^2+2x-8/(x-1))	\frac{d}{dx}(\frac{x^{2}+2x-8}{x-1})
derivative of arcsin(1/x)	derivative\:\arcsin(\frac{1}{x})
(\partial)/(\partial x)(ln(x^2+1)+y^2-z)	\frac{\partial\:}{\partial\:x}(\ln(x^{2}+1)+y^{2}-z)
(\partial)/(\partial x)(e^z(x-y)^2)	\frac{\partial\:}{\partial\:x}(e^{z}(x-y)^{2})
area x^2-4,y=0	area\:x^{2}-4,y=0
integral of 64x^2cos(4x)	\int\:64x^{2}\cos(4x)dx
derivative of g(t)= 9/(sqrt(t))	derivative\:g(t)=\frac{9}{\sqrt{t}}
(dy)/(dx)+6x^2y=e^{-2x^3}	\frac{dy}{dx}+6x^{2}y=e^{-2x^{3}}
derivative of arccsc(2x)	\frac{d}{dx}(\arccsc(2x))
(dy)/(dt)-3y=3e^{4t}	\frac{dy}{dt}-3y=3e^{4t}
derivative of y=2x^2log_{e}(x)-x^2	derivative\:y=2x^{2}\log_{e}(x)-x^{2}
(dy)/(dx)= y/x+((y^2))/(x^2)	\frac{dy}{dx}=\frac{y}{x}+\frac{(y^{2})}{x^{2}}
derivative of 3/(4x-5)	\frac{d}{dx}(\frac{3}{4x-5})
xy^'=yln(xy)	xy^{\prime\:}=y\ln(xy)
(dy)/(dx)= x/(3y^2)	\frac{dy}{dx}=\frac{x}{3y^{2}}
sum from n=1 to infinity of (25n!)/(n^n)	\sum\:_{n=1}^{\infty\:}\frac{25n!}{n^{n}}
derivative of x/({f(x)})	\frac{d}{dx}(\frac{x}{{f}(x)})
2yy^'-xy^'=y-2x	2yy^{\prime\:}-xy^{\prime\:}=y-2x
integral of (2ysin(x)-x^3+ln(y))	\int\:(2y\sin(x)-x^{3}+\ln(y))dy
y^{''}-9y^'=81t	y^{\prime\:\prime\:}-9y^{\prime\:}=81t
derivative of (arccos(x)/x)	\frac{d}{dx}(\frac{\arccos(x)}{x})
derivative of tan(x+1/(x^2))	\frac{d}{dx}(\tan(x)+\frac{1}{x^{2}})
integral of 4-x	\int\:4-xdx
limit as x approaches-infinity of x^2+2	\lim\:_{x\to\:-\infty\:}(x^{2}+2)
integral from 1 to 2 of 3x^2	\int\:_{1}^{2}3x^{2}dx
integral of 1/(sqrt(x^2+4x+3))	\int\:\frac{1}{\sqrt{x^{2}+4x+3}}dx
integral from 2 to 4 of-x^2+6x-8	\int\:_{2}^{4}-x^{2}+6x-8dx
limit as x approaches-8-of (x+7)/(x+8)	\lim\:_{x\to\:-8-}(\frac{x+7}{x+8})
derivative of cos(x/2)	derivative\:\cos(\frac{x}{2})
limit as x approaches 4 of (x^2-8)/(x^4)	\lim\:_{x\to\:4}(\frac{x^{2}-8}{x^{4}})
limit as x approaches 0 of (1-x/3)^{1/x}	\lim\:_{x\to\:0}((1-\frac{x}{3})^{\frac{1}{x}})
derivative of arctan(-2x)	derivative\:\arctan(-2x)
y^{''}+by^'=0	y^{\prime\:\prime\:}+by^{\prime\:}=0
area x^2,x^2-4x+4,0,2	area\:x^{2},x^{2}-4x+4,0,2
integral of 2-1/x	\int\:2-\frac{1}{x}dx
(\partial)/(\partial x)(2cos(xy^2))	\frac{\partial\:}{\partial\:x}(2\cos(xy^{2}))
derivative of ((4x^2+8x+6))/(sqrt(x))	derivative\:\frac{(4x^{2}+8x+6)}{\sqrt{x}}
limit as x approaches 0 of \|x-4\|	\lim\:_{x\to\:0}(\left\|x-4\right\|)
integral from-3 to 1 of (x^2-4x)	\int\:_{-3}^{1}(x^{2}-4x)dx
derivative of ln(ln(x^2+1))	\frac{d}{dx}(\ln(\ln(x^{2}+1)))
y^{''}+a^2y=0	y^{\prime\:\prime\:}+a^{2}y=0
xy^{''}+3y^'=0	xy^{\prime\:\prime\:}+3y^{\prime\:}=0
(\partial)/(\partial x)(ln(x^2-y))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}-y))
d/(dy)((y^3)/8)	\frac{d}{dy}(\frac{y^{3}}{8})
tangent of y=x^4+8x^2-x,(1,8)	tangent\:y=x^{4}+8x^{2}-x,(1,8)
integral of sqrt(x+2)-1/(x+1)	\int\:\sqrt{x+2}-\frac{1}{x+1}dx
integral of (x+1)/(x^2+2x)	\int\:\frac{x+1}{x^{2}+2x}dx
sum from n=1 to infinity of 1/3 (e/2)^n	\sum\:_{n=1}^{\infty\:}\frac{1}{3}(\frac{e}{2})^{n}
integral of (x^5+2x^3-3x)/((x^2+1)^3)	\int\:\frac{x^{5}+2x^{3}-3x}{(x^{2}+1)^{3}}dx
integral of 2e^{y^2}	\int\:2e^{y^{2}}dy
derivative of e^{2x^x}	derivative\:e^{2x^{x}}
integral from 1 to 4 of (x+sqrt(x))	\int\:_{1}^{4}(x+\sqrt{x})dx
integral of ((x^4+81))/(x(x^2+9)^2)	\int\:\frac{(x^{4}+81)}{x(x^{2}+9)^{2}}dx
inverse oflaplace 1/(s^2-16)	inverselaplace\:\frac{1}{s^{2}-16}
integral from-infinity to 0 of e^{-x^2}	\int\:_{-\infty\:}^{0}e^{-x^{2}}dx
integral of x*ln^4(x)	\int\:x\cdot\:\ln^{4}(x)dx
limit as x approaches 2-of-1/(x-2)	\lim\:_{x\to\:2-}(-\frac{1}{x-2})
inverse oflaplace (16)/(s^2+9)	inverselaplace\:\frac{16}{s^{2}+9}
(\partial}{\partial y}(\frac{4x)/y)	\frac{\partial\:}{\partial\:y}(\frac{4x}{y})
derivative of-1/2 x^4	\frac{d}{dx}(-\frac{1}{2}x^{4})
limit as x approaches 4 of 3x^3	\lim\:_{x\to\:4}(3x^{3})
integral of x^2cos(1/4 x)	\int\:x^{2}\cos(\frac{1}{4}x)dx
slope of (16,1.2),(32,2.4)	slope\:(16,1.2),(32,2.4)
integral of x^2*arctan(x)	\int\:x^{2}\cdot\:\arctan(x)dx
integral from 1 to x of t^2	\int\:_{1}^{x}t^{2}dt
slope of xy-8y^2=4,(18,2)	slope\:xy-8y^{2}=4,(18,2)
laplacetransform 5+2tcos(2t)	laplacetransform\:5+2t\cos(2t)
derivative of f(x)=2^{2^x}	derivative\:f(x)=2^{2^{x}}
integral from 1 to 6 of 4/x	\int\:_{1}^{6}\frac{4}{x}dx
integral of sqrt(2x+6)	\int\:\sqrt{2x+6}dx
area 1/(4(1+x^2)), 1/8 x^2	area\:\frac{1}{4(1+x^{2})},\frac{1}{8}x^{2}
sum from n=0 to infinity of e^{-8n}	\sum\:_{n=0}^{\infty\:}e^{-8n}
derivative of (1-x)^3-log_{e}(1-x)	derivative\:(1-x)^{3}-\log_{e}(1-x)
derivative of (5x^2)/(3x-1)	derivative\:\frac{5x^{2}}{3x-1}
integral from 1 to 2 of 3-6/(x^2)	\int\:_{1}^{2}3-\frac{6}{x^{2}}dx
integral of (6cosh(sqrt(x)))/(sqrt(x))	\int\:\frac{6\cosh(\sqrt{x})}{\sqrt{x}}dx
y^{'''}+4y^{''}-16y^'-64y=0	y^{\prime\:\prime\:\prime\:}+4y^{\prime\:\prime\:}-16y^{\prime\:}-64y=0
integral of (3x^2-x+1)/(x^3-x^2)	\int\:\frac{3x^{2}-x+1}{x^{3}-x^{2}}dx
y^{''}+49y=cos(10t)	y^{\prime\:\prime\:}+49y=\cos(10t)
derivative of ln(x^3+5x+3)	derivative\:\ln(x^{3}+5x+3)
limit as x approaches 1 of xsin(1/x)	\lim\:_{x\to\:1}(x\sin(\frac{1}{x}))
tangent of y=x^4-3x^2+2,(1,0)	tangent\:y=x^{4}-3x^{2}+2,(1,0)
limit as x approaches 2-of (\|x-x\|)/(x-2)	\lim\:_{x\to\:2-}(\frac{\left\|x-x\right\|}{x-2})
derivative of tan(3xsc^3x)	\frac{d}{dx}(\tan(3x)sc^{3}x)
integral of 1/(xsqrt(1-4x^2))	\int\:\frac{1}{x\sqrt{1-4x^{2}}}dx
derivative of f(x)=(x^4)/4-2x^2-4	derivative\:f(x)=\frac{x^{4}}{4}-2x^{2}-4
derivative of x^2-2x+4	derivative\:x^{2}-2x+4
derivative of f(x)=4x^{5/4}+6x^{3/2}+3x	derivative\:f(x)=4x^{\frac{5}{4}}+6x^{\frac{3}{2}}+3x

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