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Popular Calculus Problems

limit as x approaches 3 of x(2/x+5)	\lim\:_{x\to\:3}(x(\frac{2}{x}+5))
integral from 1/7 to 5 of 12xln(7x)	\int\:_{\frac{1}{7}}^{5}12x\ln(7x)dx
derivative of y=e^{-4x}	derivative\:y=e^{-4x}
area x^3+8,x+8	area\:x^{3}+8,x+8
tangent of (6x)/((x^2+1))	tangent\:\frac{6x}{(x^{2}+1)}
(\partial)/(\partial y)((e^{xy})/(x+y))	\frac{\partial\:}{\partial\:y}(\frac{e^{xy}}{x+y})
integral of 1/(sqrt(y^2+y+1))	\int\:\frac{1}{\sqrt{y^{2}+y+1}}dy
derivative of e^{ln(cos(x^2)}sqrt(2x+1))	\frac{d}{dx}(e^{\ln(\cos(x^{2}))}\sqrt{2x+1})
(dy)/(dx)+2xy=5x	\frac{dy}{dx}+2xy=5x
slope ofintercept (-4,-6),(-2,0)	slopeintercept\:(-4,-6),(-2,0)
sum from n=1 to infinity of n^5(1+n^6)^6	\sum\:_{n=1}^{\infty\:}n^{5}(1+n^{6})^{6}
derivative of ({f}(x)/(x^5))	\frac{d}{dx}(\frac{{f}(x)}{x^{5}})
derivative of (5x+2)^4(2x-3)^8	derivative\:(5x+2)^{4}(2x-3)^{8}
3*(dy)/(dx)+12y=4	3\cdot\:\frac{dy}{dx}+12y=4
(\partial)/(\partial x)(x^3z)	\frac{\partial\:}{\partial\:x}(x^{3}z)
limit as x approaches 1.2 of 1/(x-2)	\lim\:_{x\to\:1.2}(\frac{1}{x-2})
integral of ((x^2-x+6))/(x^3+3x)	\int\:\frac{(x^{2}-x+6)}{x^{3}+3x}dx
integral of pi*cos(pix)	\int\:π\cdot\:\cos(πx)dx
derivative of sqrt(5+xsec(x))	\frac{d}{dx}(\sqrt{5+x\sec(x)})
limit as x approaches 2 of 5x-3	\lim\:_{x\to\:2}(5x-3)
derivative of 1/(x-2)	derivative\:\frac{1}{x-2}
derivative of e^{nx}	\frac{d}{dx}(e^{nx})
(dy)/(dx)=e^{4x-3y}	\frac{dy}{dx}=e^{4x-3y}
tangent of 2x^2-7x+5,\at x=2	tangent\:2x^{2}-7x+5,\at\:x=2
derivative of f(x)=x^2-3x+5	derivative\:f(x)=x^{2}-3x+5
limit as x approaches 0+of e^{-2/(x^3)}	\lim\:_{x\to\:0+}(e^{-\frac{2}{x^{3}}})
taylor sqrt(x),9	taylor\:\sqrt{x},9
tangent of f(x)= 5/(x-4),\at x=3	tangent\:f(x)=\frac{5}{x-4},\at\:x=3
integral of t^2-5t+4	\int\:t^{2}-5t+4dt
integral of (x^2)/(sqrt(x))	\int\:\frac{x^{2}}{\sqrt{x}}dx
tangent of f(x)=-5x^2-3x,\at x=-3	tangent\:f(x)=-5x^{2}-3x,\at\:x=-3
derivative of (3x+1/(x^{2/3)})	\frac{d}{dx}(\frac{3x+1}{x^{\frac{2}{3}}})
integral of e^{(-1)/x}	\int\:e^{\frac{-1}{x}}dx
derivative of 10*2^{-0.274x}	derivative\:10\cdot\:2^{-0.274x}
derivative of (2x)/(7-tan(x))	derivative\:\frac{2x}{7-\tan(x)}
area f(x)=4-x,x=-2,x=3,y=0	area\:f(x)=4-x,x=-2,x=3,y=0
area y=2x-x^2,y=-3	area\:y=2x-x^{2},y=-3
maclaurin 11e^{-x}	maclaurin\:11e^{-x}
integral from 2 to 3 of (34)/(sqrt(3-x))	\int\:_{2}^{3}\frac{34}{\sqrt{3-x}}dx
slope ofintercept (-7,0),(0,1)	slopeintercept\:(-7,0),(0,1)
integral from 0 to 3 of 6-2x	\int\:_{0}^{3}6-2xdx
integral of (3x+1)(2x-5)^2	\int\:(3x+1)(2x-5)^{2}dx
integral of 1/((x-1)(x+2))	\int\:\frac{1}{(x-1)(x+2)}dx
integral of 2xy+3x^2	\int\:2xy+3x^{2}dx
integral from 0 to 2 of (2x-1)	\int\:_{0}^{2}(2x-1)dx
integral of x/(\sqrt[3]{2-4x^2)}	\int\:\frac{x}{\sqrt[3]{2-4x^{2}}}dx
integral of arctan(ax)	\int\:\arctan(ax)dx
limit as x approaches 3 of 5^2	\lim\:_{x\to\:3}(5^{2})
area y=x^2+2,y=x+14	area\:y=x^{2}+2,y=x+14
integral of (x^2+sqrt(x))	\int\:(x^{2}+\sqrt{x})dx
limit as x approaches-2+of (x-1)/(x^2-4)	\lim\:_{x\to\:-2+}(\frac{x-1}{x^{2}-4})
derivative of f(x)=(7x^2-x+9)/(6-7x)	derivative\:f(x)=\frac{7x^{2}-x+9}{6-7x}
integral of x(1/(sqrt(1-x^2)))	\int\:x(\frac{1}{\sqrt{1-x^{2}}})dx
derivative of 2(3x^2ln(10x)+x^2)	derivative\:2(3x^{2}\ln(10x)+x^{2})
integral of (-x^3-8x+5)	\int\:(-x^{3}-8x+5)dx
integral from 0 to 2pi of 5x^2sin(1/4 x)	\int\:_{0}^{2π}5x^{2}\sin(\frac{1}{4}x)dx
derivative of 1/3 xsqrt(x^2+5)	\frac{d}{dx}(\frac{1}{3}x\sqrt{x^{2}+5})
integral of 1/(sqrt(-4t^2+12t+7))	\int\:\frac{1}{\sqrt{-4t^{2}+12t+7}}dt
integral from 0 to sqrt(pi of)sin(x^2)	\int\:_{0}^{\sqrt{π}}\sin(x^{2})dx
integral of cos(t)+sin^3(t)	\int\:\cos(t)+\sin^{3}(t)dt
y^'+6/(x^2)y=x^{10}e^{6/x}	y^{\prime\:}+\frac{6}{x^{2}}y=x^{10}e^{\frac{6}{x}}
integral of (x-4)(x+4)	\int\:(x-4)(x+4)dx
integral of ((arctan(x))^6)/(x^2+1)	\int\:\frac{(\arctan(x))^{6}}{x^{2}+1}dx
integral of 1/((81+x^2)^2)	\int\:\frac{1}{(81+x^{2})^{2}}dx
y^{''}-6y^'+9y=5t^{-1}e^{3t}	y^{\prime\:\prime\:}-6y^{\prime\:}+9y=5t^{-1}e^{3t}
integral of (x^2)/(5-x^3)	\int\:\frac{x^{2}}{5-x^{3}}dx
derivative of ((x^2+x(2x+1))/(4x))	\frac{d}{dx}(\frac{(x^{2}+x)(2x+1)}{4x})
integral of 4x-xe^x+e	\int\:4x-xe^{x}+edx
(\partial)/(\partial y)(2xye^{x^2})	\frac{\partial\:}{\partial\:y}(2xye^{x^{2}})
derivative of-x^4cos(x)	\frac{d}{dx}(-x^{4}\cos(x))
sum from n=1 to infinity of n^n	\sum\:_{n=1}^{\infty\:}n^{n}
integral of e^{4x}sin(6x)	\int\:e^{4x}\sin(6x)dx
inverse oflaplace 1/(s(s(s+4)+3))	inverselaplace\:\frac{1}{s(s(s+4)+3)}
derivative of 11x^2cot(x)	\frac{d}{dx}(11x^{2}\cot(x))
f(x)=4	f(x)=4
integral of cos(v)sin(v)	\int\:\cos(v)\sin(v)dv
(\partial)/(\partial x)(cos(6y-x))	\frac{\partial\:}{\partial\:x}(\cos(6y-x))
area 20+x-x^2,x^2-5x	area\:20+x-x^{2},x^{2}-5x
derivative of 7^x	derivative\:7^{x}
derivative of arccsc(2x^2+1)	\frac{d}{dx}(\arccsc(2x^{2}+1))
integral of 1/((x*sqrt((x^2)+4)))	\int\:\frac{1}{(x\cdot\:\sqrt{(x^{2})+4})}dx
(x+8y)y^'=2x-y	(x+8y)y^{\prime\:}=2x-y
derivative of xe^{xy}cos(2x)	\frac{d}{dx}(xe^{xy}\cos(2x))
derivative of sqrt(1-x^2-y^2)	\frac{d}{dx}(\sqrt{1-x^{2}-y^{2}})
integral from 0 to 8 of sqrt(y+1)	\int\:_{0}^{8}\sqrt{y+1}dy
limit as x approaches 0+of tan(4/x)	\lim\:_{x\to\:0+}(\tan(\frac{4}{x}))
derivative of f(x)=x^4-x^2	derivative\:f(x)=x^{4}-x^{2}
t((dx)/(dt))+3x=5t^2	t(\frac{dx}{dt})+3x=5t^{2}
integral of ((x+1)^2)/(x^2-1)	\int\:\frac{(x+1)^{2}}{x^{2}-1}dx
derivative of 12x^3+12x^2	\frac{d}{dx}(12x^{3}+12x^{2})
integral of (sqrt(x)-x^3e^x+x^2)/(x^3)	\int\:\frac{\sqrt{x}-x^{3}e^{x}+x^{2}}{x^{3}}dx
limit as x approaches 0 of xcos(11/2 x)	\lim\:_{x\to\:0}(x\cos(\frac{11}{2}x))
limit as n approaches infinity of 1/n	\lim\:_{n\to\:\infty\:}(\frac{1}{n})
derivative of ln(sqrt(9-2x^2))	\frac{d}{dx}(\ln(\sqrt{9-2x^{2}}))
integral of e^{5t}	\int\:e^{5t}dt
taylor arctan(4x)	taylor\:\arctan(4x)
integral of 2/(8-5x)	\int\:\frac{2}{8-5x}dx
tangent of f(x)=x^{1/2}(x^2-x+3),\at x=1	tangent\:f(x)=x^{\frac{1}{2}}(x^{2}-x+3),\at\:x=1
(27+x^2)y^'-2xy=0	(27+x^{2})y^{\prime\:}-2xy=0
integral of (x/(10))^n	\int\:(\frac{x}{10})^{n}dx

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