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Popular Calculus Problems

limit as x approaches 1 of (4-x^2)/(x+2)	\lim\:_{x\to\:1}(\frac{4-x^{2}}{x+2})
derivative of ln(x+sqrt(6+x^2))	derivative\:\ln(x+\sqrt{6+x^{2}})
derivative of x^{5x}	derivative\:x^{5x}
integral of 12e^{2t}	\int\:12e^{2t}dt
tangent of y=sqrt(1-4x),\at x=-1	tangent\:y=\sqrt{1-4x},\at\:x=-1
integral of \sqrt[3]{3x+2}	\int\:\sqrt[3]{3x+2}dx
integral of 1/((16x^2+9)^2)	\int\:\frac{1}{(16x^{2}+9)^{2}}dx
tangent of 7/x ,\at x=6	tangent\:\frac{7}{x},\at\:x=6
(\partial)/(\partial x)(sin(-x)cos(8y))	\frac{\partial\:}{\partial\:x}(\sin(-x)\cos(8y))
derivative of 2tan(cos(x))	derivative\:2\tan(\cos(x))
integral of (cos(y))/(sin(y))	\int\:\frac{\cos(y)}{\sin(y)}dy
derivative of y=(2x)/(x^2+1)	derivative\:y=\frac{2x}{x^{2}+1}
integral of t^2(t-2/t)	\int\:t^{2}(t-\frac{2}{t})dt
y^'=((4xsec(y/x)+y))/x	y^{\prime\:}=\frac{(4x\sec(\frac{y}{x})+y)}{x}
limit as x approaches-6 of 6/(x+6)	\lim\:_{x\to\:-6}(\frac{6}{x+6})
y^{''}+y=8xsin(x)	y^{\prime\:\prime\:}+y=8x\sin(x)
(\partial)/(\partial x)(x^2-2xy+4y^2)	\frac{\partial\:}{\partial\:x}(x^{2}-2xy+4y^{2})
limit as x approaches 6 of 65/6(-2/3)	\lim\:_{x\to\:6}(6\cdot\:\frac{5}{6}\cdot\:(-\frac{2}{3}))
derivative of g(x)=x^2(1-9x)	derivative\:g(x)=x^{2}(1-9x)
integral of 1/(3-2y-y^2)	\int\:\frac{1}{3-2y-y^{2}}dy
(\partial)/(\partial y)(ycos(xy))	\frac{\partial\:}{\partial\:y}(y\cos(xy))
integral of (e^x)/(5-e^{2x)}	\int\:\frac{e^{x}}{5-e^{2x}}dx
limit as x approaches infinity of-3/2 x	\lim\:_{x\to\:\infty\:}(-\frac{3}{2}x)
sum from n=1 to infinity of (9^n)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{9^{n}}{n!}
limit as x approaches infinity of 3x+x^2	\lim\:_{x\to\:\infty\:}(3x+x^{2})
slope of (0,3),(3,0)	slope\:(0,3),(3,0)
derivative of (x^2-1/(x^2))	\frac{d}{dx}(\frac{x^{2}-1}{x^{2}})
integral of x*e^x	\int\:x\cdot\:e^{x}dx
derivative of sqrt(81+x^2)	\frac{d}{dx}(\sqrt{81+x^{2}})
derivative of xarcsin(x/4+sqrt(16-x^2))	\frac{d}{dx}(x\arcsin(\frac{x}{4})+\sqrt{16-x^{2}})
integral of 45(1+sqrt(x))	\int\:45(1+\sqrt{x})dx
(\partial)/(\partial x)(ln(x^y))	\frac{\partial\:}{\partial\:x}(\ln(x^{y}))
limit as x approaches 0 of 1/x-1/(e^t-1)	\lim\:_{x\to\:0}(\frac{1}{x}-\frac{1}{e^{t}-1})
limit as x approaches 4 of (3x+4)/(x-2)	\lim\:_{x\to\:4}(\frac{3x+4}{x-2})
derivative of (x-1/(sqrt(x)))	\frac{d}{dx}(\frac{x-1}{\sqrt{x}})
derivative of a/(x^3)	\frac{d}{dx}(\frac{a}{x^{3}})
integral of 1/(cos^2(u))	\int\:\frac{1}{\cos^{2}(u)}du
(\partial)/(\partial z)(y)	\frac{\partial\:}{\partial\:z}(y)
integral of 1/(4-3sin^2(x)+5cos^2(x))	\int\:\frac{1}{4-3\sin^{2}(x)+5\cos^{2}(x)}dx
limit as x approaches infinity of 3-2/x	\lim\:_{x\to\:\infty\:}(3-\frac{2}{x})
2x((dy)/(dx))=2xe^x-2y+6x^2	2x(\frac{dy}{dx})=2xe^{x}-2y+6x^{2}
derivative of A(e^xx+2e^x)	\frac{d}{dx}(A(e^{x}x+2e^{x}))
area y= 1/25 x^2,x=5,y=0	area\:y=\frac{1}{25}x^{2},x=5,y=0
derivative of (2x^2-1)/(xsqrt(1+x^2))	derivative\:\frac{2x^{2}-1}{x\sqrt{1+x^{2}}}
derivative of (sqrt(x-1))+(2x-2)	derivative\:(\sqrt{x-1})+(2x-2)
(\partial)/(\partial x)(xcos(x+2y)*2)	\frac{\partial\:}{\partial\:x}(x\cos(x+2y)\cdot\:2)
derivative of x*cos(y)	\frac{d}{dx}(x\cdot\:\cos(y))
limit as x approaches 0 of (cot(pix)sin(x))/(2sec(x))	\lim\:_{x\to\:0}(\frac{\cot(πx)\sin(x)}{2\sec(x)})
integral of cos(3t)	\int\:\cos(3t)dt
derivative of 2sqrt({f)(x})	\frac{d}{dx}(2\sqrt{{f}(x)})
integral of (e^{-x^2})^2	\int\:(e^{-x^{2}})^{2}dx
integral of (x^2)/3	\int\:\frac{x^{2}}{3}dx
integral of x/(3x^4+1)	\int\:\frac{x}{3x^{4}+1}dx
integral of (xln(2)+3/(2x))	\int\:(x\ln(2)+\frac{3}{2x})dx
derivative of f(x)=sqrt(x-6)	derivative\:f(x)=\sqrt{x-6}
derivative of f(x)=3e^{2x^2}	derivative\:f(x)=3e^{2x^{2}}
integral from-2 to 0 of (5x^2+5x)	\int\:_{-2}^{0}(5x^{2}+5x)dx
limit as x approaches infinity of 5x^3	\lim\:_{x\to\:\infty\:}(5x^{3})
derivative of (2x+1/(x-1))	\frac{d}{dx}(\frac{2x+1}{x-1})
derivative of sqrt(y/x)	\frac{d}{dx}(\sqrt{\frac{y}{x}})
derivative of arcsin((ax/4))	\frac{d}{dx}(\arcsin(\frac{ax}{4}))
(\partial)/(\partial y)(-5e^xcos(yz))	\frac{\partial\:}{\partial\:y}(-5e^{x}\cos(yz))
integral of a/2 x+a/2	\int\:\frac{a}{2}x+\frac{a}{2}dx
limit as x approaches 8 of 2x-7x^2	\lim\:_{x\to\:8}(2x-7x^{2})
derivative of (x+y/(x-y))	\frac{d}{dx}(\frac{x+y}{x-y})
tangent of f(x)=x^4-18x^2+81,\at x=1	tangent\:f(x)=x^{4}-18x^{2}+81,\at\:x=1
(\partial)/(\partial x)(2y^3x)	\frac{\partial\:}{\partial\:x}(2y^{3}x)
derivative of sin(x/y)	\frac{d}{dx}(\sin(\frac{x}{y}))
derivative of (17/(sqrt(x)))	\frac{d}{dx}(\frac{17}{\sqrt{x}})
integral of (sec^2(x))/(sec(x))	\int\:\frac{\sec^{2}(x)}{\sec(x)}dx
derivative of e^{yx}	\frac{d}{dx}(e^{yx})
tangent of f(x)= 3/x ,(9, 1/3)	tangent\:f(x)=\frac{3}{x},(9,\frac{1}{3})
integral of (8x^3(2x^4+4)^4)	\int\:(8x^{3}(2x^{4}+4)^{4})dx
derivative of (x^2/(9+8x))	\frac{d}{dx}(\frac{x^{2}}{9+8x})
limit as x approaches 0 of x^4sin(1/x)	\lim\:_{x\to\:0}(x^{4}\sin(\frac{1}{x}))
inverse oflaplace (s+2)/(s+3)	inverselaplace\:\frac{s+2}{s+3}
derivative of x^5+5x^4-10x^2+6	\frac{d}{dx}(x^{5}+5x^{4}-10x^{2}+6)
implicit (dy)/(dx),2x^4+9y=2x^2y+36	implicit\:\frac{dy}{dx},2x^{4}+9y=2x^{2}y+36
(\partial)/(\partial x)(x^2+xy+y^2-2x+2y)	\frac{\partial\:}{\partial\:x}(x^{2}+xy+y^{2}-2x+2y)
inverse oflaplace ((s))/(s^2+5s+6)	inverselaplace\:\frac{(s)}{s^{2}+5s+6}
derivative of ((-2x-3^7)/((4x+2)^4))	\frac{d}{dx}(\frac{(-2x-3)^{7}}{(4x+2)^{4}})
(dy)/(dx)+10y=8	\frac{dy}{dx}+10y=8
integral from 1 to 5 of x^3-5x^2-x+5	\int\:_{1}^{5}x^{3}-5x^{2}-x+5dx
d/(dy)(2sqrt(1-y^2-(x/4)^2))	\frac{d}{dy}(2\sqrt{1-y^{2}-(\frac{x}{4})^{2}})
derivative of f(x)=sqrt(17.198^2-x^2)	derivative\:f(x)=\sqrt{17.198^{2}-x^{2}}
derivative of e^{xe^y}	\frac{d}{dx}(e^{xe^{y}})
derivative of-cot(2x)	\frac{d}{dx}(-\cot(2x))
derivative of cos(x^2)	\frac{d}{dx}(\cos(x^{2}))
(dy)/(dx)= 6/5 (1-y/8)	\frac{dy}{dx}=\frac{6}{5}(1-\frac{y}{8})
2y^'=0	2y^{\prime\:}=0
area y=(x^5-8x)/(x^3),(1,4)	area\:y=\frac{x^{5}-8x}{x^{3}},(1,4)
sum from n=2 to infinity of 4/(n^2-1)	\sum\:_{n=2}^{\infty\:}\frac{4}{n^{2}-1}
derivative of f(x)=5.2x+2.3	derivative\:f(x)=5.2x+2.3
integral of ((e^{2x}))/(1+e^{2x)}	\int\:\frac{(e^{2x})}{1+e^{2x}}dx
(dy)/(dx)+y/x =3x^6y^2	\frac{dy}{dx}+\frac{y}{x}=3x^{6}y^{2}
limit as x approaches 1+of 7	\lim\:_{x\to\:1+}(7)
derivative of 7z^2e^z	derivative\:7z^{2}e^{z}
integral of (x+1)/(sqrt(x^2+2x+3))	\int\:\frac{x+1}{\sqrt{x^{2}+2x+3}}dx
(7x+5y)dx+(5x-8y3)dy=0	(7x+5y)dx+(5x-8y3)dy=0
tangent of f(x)=x^4,\at x=3	tangent\:f(x)=x^{4},\at\:x=3

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