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Popular Calculus Problems

limit as x approaches-1 of x-ln(-x-1)	\lim\:_{x\to\:-1}(x-\ln(-x-1))
simplify arctan(y/x)	simplify\:\arctan(\frac{y}{x})
limit as x approaches-infinity of ((x^2-5x))/(x-2)	\lim\:_{x\to\:-\infty\:}(\frac{(x^{2}-5x)}{x-2})
integral of (6x-12)/(x^2)	\int\:\frac{6x-12}{x^{2}}dx
inverse oflaplace (50000)/(s^2)	inverselaplace\:\frac{50000}{s^{2}}
limit as x approaches 0 of-9x^2+6x	\lim\:_{x\to\:0}(-9x^{2}+6x)
derivative of csc(2x)	derivative\:\csc(2x)
integral of (3x-4)x^2	\int\:(3x-4)x^{2}dx
slope of (-1,2),(4,0)	slope\:(-1,2),(4,0)
integral of (6x+2)^{-1}	\int\:(6x+2)^{-1}dx
xy^'+3y=4x	xy^{\prime\:}+3y=4x
integral of (3y^3-2y^2+(e^y)/6)	\int\:(3y^{3}-2y^{2}+\frac{e^{y}}{6})dy
integral from 0 to 2 of 1/(sqrt(x^2+4))	\int\:_{0}^{2}\frac{1}{\sqrt{x^{2}+4}}dx
derivative of (x-5/5)	\frac{d}{dx}(\frac{x-5}{5})
derivative of sqrt(81-y^2)	derivative\:\sqrt{81-y^{2}}
limit as x approaches 0 of (tan(12x))/x	\lim\:_{x\to\:0}(\frac{\tan(12x)}{x})
limit as w approaches-2 of (w^2+5w+6)/(w^3+8)	\lim\:_{w\to\:-2}(\frac{w^{2}+5w+6}{w^{3}+8})
f(x)=((e^{2x}))/(x^2+1)	f(x)=\frac{(e^{2x})}{x^{2}+1}
derivative of x^2-x+3	\frac{d}{dx}(x^{2}-x+3)
(\partial)/(\partial x)(x^{3/4})	\frac{\partial\:}{\partial\:x}(x^{\frac{3}{4}})
derivative of e^x-x	derivative\:e^{x}-x
derivative of cos(-x/3)	\frac{d}{dx}(\cos(-\frac{x}{3}))
limit as x approaches 0 of (x^2)/(sin^2(7x))	\lim\:_{x\to\:0}(\frac{x^{2}}{\sin^{2}(7x)})
tangent of x^2=y^2,(1,-1)	tangent\:x^{2}=y^{2},(1,-1)
tangent of f(x)=x^2-7x+7,\at x=0	tangent\:f(x)=x^{2}-7x+7,\at\:x=0
(\partial)/(\partial x)(-y*cos(x))	\frac{\partial\:}{\partial\:x}(-y\cdot\:\cos(x))
xy^'=(1-4x^2)tan(y)	xy^{\prime\:}=(1-4x^{2})\tan(y)
integral from 2 to infinity of ye^{-9y}	\int\:_{2}^{\infty\:}ye^{-9y}dy
(d^2)/(dx^2)((x^3+2x)^6)	\frac{d^{2}}{dx^{2}}((x^{3}+2x)^{6})
integral from 1 to x of f(t)	\int\:_{1}^{x}f(t)dt
xy(dx-dy)=x^2dy+y^2dx	xy(dx-dy)=x^{2}dy+y^{2}dx
integral from 0 to 4 of 2^x	\int\:_{0}^{4}2^{x}dx
xy^'+y=xe^x	xy^{\prime\:}+y=xe^{x}
integral of 17sin^2(xco)s^2x	\int\:17\sin^{2}(xco)s^{2}xdx
tangent of f(x)=\sqrt[4]{x}-x,\at x=1	tangent\:f(x)=\sqrt[4]{x}-x,\at\:x=1
integral of 5sin(ln(x))	\int\:5\sin(\ln(x))dx
derivative of 2ln(x+1)	derivative\:2\ln(x+1)
integral of 1/(10x-x^2)	\int\:\frac{1}{10x-x^{2}}dx
derivative of (81)/((6(1/6)+8)^{5/2)}	derivative\:\frac{81}{(6(\frac{1}{6})+8)^{\frac{5}{2}}}
derivative of sqrt(x-2)+sqrt(y-1)	\frac{d}{dx}(\sqrt{x-2}+\sqrt{y-1})
limit as x approaches 1+of (x+10)/(1-x)	\lim\:_{x\to\:1+}(\frac{x+10}{1-x})
tangent of x^2+xy+y^2=3,(1,1)	tangent\:x^{2}+xy+y^{2}=3,(1,1)
limit as x approaches 7 of ((x^2-5x-14))/(x-7)	\lim\:_{x\to\:7}(\frac{(x^{2}-5x-14)}{x-7})
y^'+1/(200+t)y=0,y(0)=60	y^{\prime\:}+\frac{1}{200+t}y=0,y(0)=60
integral of (4x^2sin(2x))/9	\int\:\frac{4x^{2}\sin(2x)}{9}dx
sum from n=3 to infinity of (7^n)/(14^n)	\sum\:_{n=3}^{\infty\:}\frac{7^{n}}{14^{n}}
integral of (e^{-x^2})/x	\int\:\frac{e^{-x^{2}}}{x}dx
limit as x approaches 0 of (1+5x)^{6/x}	\lim\:_{x\to\:0}((1+5x)^{\frac{6}{x}})
integral from 0 to 1 of x^4(2+2x^5)	\int\:_{0}^{1}x^{4}(2+2x^{5})dx
(d^2)/(dx^2)(xsqrt(1-x^2))	\frac{d^{2}}{dx^{2}}(x\sqrt{1-x^{2}})
integral from 0 to r of xsqrt(r^2-x^2)	\int\:_{0}^{r}x\sqrt{r^{2}-x^{2}}dx
integral of x/((x^2-4)(x+3))	\int\:\frac{x}{(x^{2}-4)(x+3)}dx
integral of 15^x	\int\:15^{x}dx
tangent of f(x)= 5/(2sqrt(5x+6)),\at x=2	tangent\:f(x)=\frac{5}{2\sqrt{5x+6}},\at\:x=2
integral of ze^z	\int\:ze^{z}dz
derivative of y=sqrt(10+cot^2(x))	derivative\:y=\sqrt{10+\cot^{2}(x)}
derivative of (8e^x/(2e^x+1))	\frac{d}{dx}(\frac{8e^{x}}{2e^{x}+1})
integral of (1-t)cos(t^2-2t)	\int\:(1-t)\cos(t^{2}-2t)dt
tangent of f(x)=2x+3/x ,\at x=-1	tangent\:f(x)=2x+\frac{3}{x},\at\:x=-1
(dy)/(dt)+e^ty=-e^t	\frac{dy}{dt}+e^{t}y=-e^{t}
tangent of f(x)=\sqrt[3]{1+x},\at x=0	tangent\:f(x)=\sqrt[3]{1+x},\at\:x=0
integral of (3+u)/(1-u^2)	\int\:\frac{3+u}{1-u^{2}}du
integral of \sqrt[3]{2}	\int\:\sqrt[3]{2}dx
integral of ((x^2))/(sqrt(36-x^2))	\int\:\frac{(x^{2})}{\sqrt{36-x^{2}}}dx
integral of (1+x^2)/x	\int\:\frac{1+x^{2}}{x}dx
derivative of-4cos(x)	derivative\:-4\cos(x)
integral of re^r	\int\:re^{r}dr
derivative of {r}(xx)	\frac{d}{dx}({r}(x)x)
integral of-e^{2-x}	\int\:-e^{2-x}dx
integral of cos(x)*e^x	\int\:\cos(x)\cdot\:e^{x}dx
integral from 0 to ln(4) of xe^x	\int\:_{0}^{\ln(4)}xe^{x}dx
y^'=3cos(t)-2y,y(0)=0	y^{\prime\:}=3\cos(t)-2y,y(0)=0
integral of 5xe^{3x}	\int\:5xe^{3x}dx
tangent of f(x)=5x^3-5x,(1,0)	tangent\:f(x)=5x^{3}-5x,(1,0)
derivative of ln(cos((x-1/x)))	\frac{d}{dx}(\ln(\cos(\frac{x-1}{x})))
derivative of (cos(2x)/(sin(x)))	\frac{d}{dx}(\frac{\cos(2x)}{\sin(x)})
integral from 1 to 2 of x/(x^2+4x+20)	\int\:_{1}^{2}\frac{x}{x^{2}+4x+20}dx
integral from 0 to 0.4 of ((x^2))/(sqrt(4-25x^2))	\int\:_{0}^{0.4}\frac{(x^{2})}{\sqrt{4-25x^{2}}}dx
(\partial)/(\partial x)(yx-y-x)	\frac{\partial\:}{\partial\:x}(yx-y-x)
y^'=5x-y	y^{\prime\:}=5x-y
derivative of xy^2-x^3y	\frac{d}{dx}(xy^{2}-x^{3}y)
derivative of sqrt(x)+1/(x^3)	\frac{d}{dx}(\sqrt{x}+\frac{1}{x^{3}})
derivative of (8x^2-5)^{1/2}	derivative\:(8x^{2}-5)^{\frac{1}{2}}
integral from 0 to 3 of (2x-1)	\int\:_{0}^{3}(2x-1)dx
derivative of f(y)=5x+(135)/x (15x+30)	derivative\:f(y)=5x+\frac{135}{x}(15x+30)
integral of (4e^x)/(e^x+sqrt(3))	\int\:\frac{4e^{x}}{e^{x}+\sqrt{3}}dx
f(x)=(e^x+1)^{7x}	f(x)=(e^{x}+1)^{7x}
y^{'''}+8y^{''}-12y^'-144y=0	y^{\prime\:\prime\:\prime\:}+8y^{\prime\:\prime\:}-12y^{\prime\:}-144y=0
integral from 0 to 2 of sqrt(x+1)	\int\:_{0}^{2}\sqrt{x+1}dx
integral of x^{-n}	\int\:x^{-n}dx
derivative of y=(2log_{e}(x)-3)^4	derivative\:y=(2\log_{e}(x)-3)^{4}
integral of ((7x+29))/(x^2+8x+15)	\int\:\frac{(7x+29)}{x^{2}+8x+15}dx
integral of ((x^2+1)^3)/x	\int\:\frac{(x^{2}+1)^{3}}{x}dx
derivative of sqrt(1+x^3)	derivative\:\sqrt{1+x^{3}}
limit as x approaches 0 of 2x-1/(x^2)	\lim\:_{x\to\:0}(2x-\frac{1}{x^{2}})
inverse oflaplace 1/((s-2)(s+1)(s-3))	inverselaplace\:\frac{1}{(s-2)(s+1)(s-3)}
derivative of 6e^{6e^x+x}	derivative\:6e^{6e^{x}+x}
derivative of (x^3+7)e^x	derivative\:(x^{3}+7)e^{x}
inverse oflaplace 2/(s+1)+(16s)/(s^2+9)	inverselaplace\:\frac{2}{s+1}+\frac{16s}{s^{2}+9}
slope of (1.4)(3.5)	slope\:(1.4)(3.5)

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