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Popular Calculus Problems

(\partial)/(\partial y)(x^2+y^2+z^2-1)	\frac{\partial\:}{\partial\:y}(x^{2}+y^{2}+z^{2}-1)
(dy)/(dx)=cos(x)(1+3y)	\frac{dy}{dx}=\cos(x)(1+3y)
integral from 2 to 4 of x/6 (2x-3)	\int\:_{2}^{4}\frac{x}{6}(2x-3)dx
(\partial)/(\partial z)(x^y)	\frac{\partial\:}{\partial\:z}(x^{y})
(x^2+1)(dy)/(dx)+3x(y-1)=0	(x^{2}+1)\frac{dy}{dx}+3x(y-1)=0
integral from 1 to 10 of 1/(4x^3)	\int\:_{1}^{10}\frac{1}{4x^{3}}dx
derivative of 10x+1	\frac{d}{dx}(10x+1)
derivative of 7x^2e^{-x}	\frac{d}{dx}(7x^{2}e^{-x})
limit as x approaches-0 of e^{-1/x}	\lim\:_{x\to\:-0}(e^{-\frac{1}{x}})
integral from 0 to 1 of 1/(x+1)	\int\:_{0}^{1}\frac{1}{x+1}dx
integral of xsqrt(x-1)	\int\:x\sqrt{x-1}dx
tangent of x^2-5	tangent\:x^{2}-5
limit as x approaches 5 of 500	\lim\:_{x\to\:5}(500)
derivative of 10^6x^2e^{-x}	\frac{d}{dx}(10^{6}x^{2}e^{-x})
derivative of log_{10}(x^2+x+1)	\frac{d}{dx}(\log_{10}(x^{2}+x+1))
tangent of f(x)=(2x+3)/(3x-2)	tangent\:f(x)=\frac{2x+3}{3x-2}
area 3ln(x),xln(x),1,2	area\:3\ln(x),x\ln(x),1,2
integral of sec^2(3x)tan^3(3x)	\int\:\sec^{2}(3x)\tan^{3}(3x)dx
integral from 0 to l of sin^2((npix)/l)	\int\:_{0}^{l}\sin^{2}(\frac{nπx}{l})dx
derivative of sin(x/4)	\frac{d}{dx}(\sin(\frac{x}{4}))
limit as x approaches x/2 of sin(x)	\lim\:_{x\to\:\frac{x}{2}}(\sin(x))
integral of-sin(x)*cos(x)	\int\:-\sin(x)\cdot\:\cos(x)dx
derivative of 2/((x^2-3x^2))	\frac{d}{dx}(\frac{2}{(x^{2}-3x)^{2}})
derivative of (x^2+a^2^5)	\frac{d}{dx}((x^{2}+a^{2})^{5})
(\partial)/(\partial x)(2x-5y+3)	\frac{\partial\:}{\partial\:x}(2x-5y+3)
slope of (4,-1),(-9,-10)	slope\:(4,-1),(-9,-10)
derivative of sin^3(x^2)	derivative\:\sin^{3}(x^{2})
derivative of 1/(2(x+1^{1/2)})	\frac{d}{dx}(\frac{1}{2(x+1)^{\frac{1}{2}}})
limit as x approaches 49 of x^{3/2}	\lim\:_{x\to\:49}(x^{\frac{3}{2}})
integral of (x^4)/4-(x^3)/3+5x	\int\:\frac{x^{4}}{4}-\frac{x^{3}}{3}+5xdx
inverse oflaplace (4s)/(4s^2+1)	inverselaplace\:\frac{4s}{4s^{2}+1}
derivative of sin((pix/6))	\frac{d}{dx}(\sin(\frac{πx}{6}))
derivative of y=x^2e^x	derivative\:y=x^{2}e^{x}
integral of (y^4+2y^2-1)/(sqrt(y))	\int\:\frac{y^{4}+2y^{2}-1}{\sqrt{y}}dy
integral of te^{3t}-e^t	\int\:te^{3t}-e^{t}dt
integral of 1/(sqrt(x^2-12))	\int\:\frac{1}{\sqrt{x^{2}-12}}dx
derivative of 1/4 x	derivative\:\frac{1}{4}x
(\partial)/(\partial y)(y^2-x)	\frac{\partial\:}{\partial\:y}(y^{2}-x)
integral of x^2((x^3)/(12)+4)^3	\int\:x^{2}(\frac{x^{3}}{12}+4)^{3}dx
derivative of csc(3x+2)	\frac{d}{dx}(\csc(3x+2))
integral of cot(35x)	\int\:\cot(35x)dx
derivative of f(x)= 4/(1-2x^2)	derivative\:f(x)=\frac{4}{1-2x^{2}}
dy-(y/x+x/y)dx=0	dy-(\frac{y}{x}+\frac{x}{y})dx=0
integral of (sin(ln(2x)))/x	\int\:\frac{\sin(\ln(2x))}{x}dx
integral of x^{-2}	\int\:x^{-2}dx
derivative of f(x)=6e^x+4/(\sqrt[3]{x)}	derivative\:f(x)=6e^{x}+\frac{4}{\sqrt[3]{x}}
integral of-1/(1+u^2)	\int\:-\frac{1}{1+u^{2}}du
inverse oflaplace 3e^{-3s}	inverselaplace\:3e^{-3s}
x^2y^'+2xy=19cos^2(x)	x^{2}y^{\prime\:}+2xy=19\cos^{2}(x)
y^{''}+8y^'-9y=0,y(1)=1,y^'(1)=0	y^{\prime\:\prime\:}+8y^{\prime\:}-9y=0,y(1)=1,y^{\prime\:}(1)=0
integral from 0 to 2 of (3x^2+2)	\int\:_{0}^{2}(3x^{2}+2)dx
integral of ((x+2))/(x^2-1)	\int\:\frac{(x+2)}{x^{2}-1}dx
integral of (1-cos(x))^3	\int\:(1-\cos(x))^{3}dx
integral of e^{2x}arctan(e^x)	\int\:e^{2x}\arctan(e^{x})dx
derivative of arccos(5x)	derivative\:\arccos(5x)
y^{''}-4y^'+3y=7x^3e^{(2x)}cos(2x)	y^{\prime\:\prime\:}-4y^{\prime\:}+3y=7x^{3}e^{(2x)}\cos(2x)
derivative of (2x-3/(3x+4))	\frac{d}{dx}(\frac{2x-3}{3x+4})
derivative of x^2+64	derivative\:x^{2}+64
area x=y^2-10,x=3y	area\:x=y^{2}-10,x=3y
derivative of cy^{-2}	derivative\:cy^{-2}
derivative of 1/(sqrt(25-x^2))	\frac{d}{dx}(\frac{1}{\sqrt{25-x^{2}}})
integral of x^2e^{kx}	\int\:x^{2}e^{kx}dx
derivative of g(x)=3(4-9x)^4	derivative\:g(x)=3(4-9x)^{4}
limit as x approaches-3+of 1/(x+3)	\lim\:_{x\to\:-3+}(\frac{1}{x+3})
area y=x^{15/14},y=13x^{1/14}	area\:y=x^{\frac{15}{14}},y=13x^{\frac{1}{14}}
derivative of x^3+3x	\frac{d}{dx}(x^{3}+3x)
derivative of (1/(x^2-9/(x^4))(x+3x^3))	\frac{d}{dx}((\frac{1}{x^{2}}-\frac{9}{x^{4}})(x+3x^{3}))
integral from-2 to 2 of 4-x^2	\int\:_{-2}^{2}4-x^{2}dx
integral from 0 to 3 of 4-x	\int\:_{0}^{3}4-xdx
y^{''}+2y^'+14y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+2y^{\prime\:}+14y=0,y(0)=1,y^{\prime\:}(0)=0
f(x)=sin(3x+2)	f(x)=\sin(3x+2)
integral of 1/(4+x)	\int\:\frac{1}{4+x}dx
derivative of (x+1)/(2x^2+1)	derivative\:\frac{x+1}{2x^{2}+1}
(\partial)/(\partial x)(arcsec(x+yz))	\frac{\partial\:}{\partial\:x}(\arcsec(x+yz))
integral of (tan^5(x))	\int\:(\tan^{5}(x))dx
derivative of e^{6t}	derivative\:e^{6t}
y^'=y-x	y^{\prime\:}=y-x
(dy)/(dx)=((e^x))/(ysqrt(1+y^2))	\frac{dy}{dx}=\frac{(e^{x})}{y\sqrt{1+y^{2}}}
integral of sin^3(3x)cos^2(3x)	\int\:\sin^{3}(3x)\cos^{2}(3x)dx
tangent of f(x)=(6x)/(x+3),(-1,-3)	tangent\:f(x)=\frac{6x}{x+3},(-1,-3)
integral of e^xsin(3x)	\int\:e^{x}\sin(3x)dx
(\partial}{\partial x}(sin(\frac{2x)/y))	\frac{\partial\:}{\partial\:x}(\sin(\frac{2x}{y}))
limit as x approaches 1 of x/(x-1)	\lim\:_{x\to\:1}(\frac{x}{x-1})
derivative of sin^2(y)	derivative\:\sin^{2}(y)
integral of (sin^3(x))/(1-cos(x))	\int\:\frac{\sin^{3}(x)}{1-\cos(x)}dx
integral of (e^{2x}cos(e^{2x}))	\int\:(e^{2x}\cos(e^{2x}))dx
derivative of f(t)=(t^2-4)/(t-2)	derivative\:f(t)=\frac{t^{2}-4}{t-2}
inverse oflaplace ((s+3))/(s^2+s+3)	inverselaplace\:\frac{(s+3)}{s^{2}+s+3}
derivative of dy/(dx)-a^2y+b=0	\frac{d}{dx}\frac{dy}{dx}-a^{2}y+b=0
limit as x approaches infinity of (45)/x	\lim\:_{x\to\:\infty\:}(\frac{45}{x})
area y=x+1,y=0,x=0,x=2	area\:y=x+1,y=0,x=0,x=2
d/(dθ)(cos(2θ))	\frac{d}{dθ}(\cos(2θ))
derivative of 1/3*x^3	\frac{d}{dx}(\frac{1}{3}\cdot\:x^{3})
limit as t approaches 0 of 1/2 e^{-2t}	\lim\:_{t\to\:0}(\frac{1}{2}e^{-2t})
derivative of 2/(2-cos(pix))	\frac{d}{dx}(\frac{2}{2-\cos(πx)})
(\partial)/(\partial x)(-xln(x)+xln(y)+y)	\frac{\partial\:}{\partial\:x}(-x\ln(x)+x\ln(y)+y)
limit as x approaches 2-of x^2-x+2	\lim\:_{x\to\:2-}(x^{2}-x+2)
sum from n=1 to infinity of ((2^n))/(n!)	\sum\:_{n=1}^{\infty\:}\frac{(2^{n})}{n!}
area 3x,4-x^2	area\:3x,4-x^{2}
4y^{''}+26y=0	4y^{\prime\:\prime\:}+26y=0

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