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Popular Calculus Problems

integral of 250(e^{-0.2x}-1)	\int\:250(e^{-0.2x}-1)dx
derivative of x/((x^2+y^2))	\frac{d}{dx}(\frac{x}{(x^{2}+y^{2})})
derivative of (x+2)^{1/2}	derivative\:(x+2)^{\frac{1}{2}}
(x^2+49)(dy)/(dx)=7	(x^{2}+49)\frac{dy}{dx}=7
derivative of ((x^3-3x^2-3))/((x+2))	derivative\:\frac{(x^{3}-3x^{2}-3)}{(x+2)}
integral of (x^8)/(x^3+2)	\int\:\frac{x^{8}}{x^{3}+2}dx
taylor 4x^4+3x^3+2x^2+x+1,1	taylor\:4x^{4}+3x^{3}+2x^{2}+x+1,1
(\partial)/(\partial x)(-5ye^x)	\frac{\partial\:}{\partial\:x}(-5ye^{x})
inverse oflaplace ((s+2))/(s(s^2+9))	inverselaplace\:\frac{(s+2)}{s(s^{2}+9)}
derivative of 12^x	\frac{d}{dx}(12^{x})
derivative of x^2-4x+5	\frac{d}{dx}(x^{2}-4x+5)
derivative of pi/4	\frac{d}{dx}(\frac{π}{4})
integral from 0 to 1 of arcsin(w)	\int\:_{0}^{1}\arcsin(w)dw
(dy)/(dx)=8+4sin(x/4)-y/(100)	\frac{dy}{dx}=8+4\sin(\frac{x}{4})-\frac{y}{100}
integral from 2 to 3 of x	\int\:_{2}^{3}xdx
integral of 1/(x-10)	\int\:\frac{1}{x-10}dx
integral of 2/(2x-1)	\int\:\frac{2}{2x-1}dx
derivative of-(14)/(s^6)	derivative\:-\frac{14}{s^{6}}
integral of 0.5sin(2x)	\int\:0.5\sin(2x)dx
integral of sqrt(9x^4+4x^2)	\int\:\sqrt{9x^{4}+4x^{2}}dx
(\partial)/(\partial x)(2sqrt(x^2+2y^2))	\frac{\partial\:}{\partial\:x}(2\sqrt{x^{2}+2y^{2}})
(dy)/(dx)=(y^2-1)/(x^2-1),y(9)=9	\frac{dy}{dx}=\frac{y^{2}-1}{x^{2}-1},y(9)=9
derivative of (x^2/((3+x)))	\frac{d}{dx}(\frac{x^{2}}{(3+x)})
(\partial)/(\partial x)(x^7)	\frac{\partial\:}{\partial\:x}(x^{7})
d/(dy)((1/(y^2)-3/(y^4))(y+9y^3))	\frac{d}{dy}((\frac{1}{y^{2}}-\frac{3}{y^{4}})(y+9y^{3}))
derivative of 2csc(1-3x)	derivative\:2\csc(1-3x)
tangent of f(x)=(2x+3)^5,\at x=-1	tangent\:f(x)=(2x+3)^{5},\at\:x=-1
derivative of \sqrt[4]{x}-4/x	\frac{d}{dx}(\sqrt[4]{x}-\frac{4}{x})
(dy)/(dx)-2y=0	\frac{dy}{dx}-2y=0
y^{''}+4y^'+3y=3x+7	y^{\prime\:\prime\:}+4y^{\prime\:}+3y=3x+7
integral of sin^3(xco)s^7x	\int\:\sin^{3}(xco)s^{7}xdx
(cos(6x))y^'+6(tan(6x))y=-sec(6x)	(\cos(6x))y^{\prime\:}+6(\tan(6x))y=-\sec(6x)
(\partial)/(\partial x)((2x)/((x-y)^2))	\frac{\partial\:}{\partial\:x}(\frac{2x}{(x-y)^{2}})
integral of sqrt(4x^2+x^4)	\int\:\sqrt{4x^{2}+x^{4}}dx
tdt+ye^{-t}dy=0	tdt+ye^{-t}dy=0
derivative of 5x+2	\frac{d}{dx}(5x+2)
integral of (3x^2+1)/(x^2*sqrt(4-x^2))	\int\:\frac{3x^{2}+1}{x^{2}\cdot\:\sqrt{4-x^{2}}}dx
(\partial)/(\partial x)(sin(xye^{x^2}))	\frac{\partial\:}{\partial\:x}(\sin(x\cdot\:y\cdot\:e^{x^{2}}))
f^'(x)=2^{4x}+4x^2	f^{\prime\:}(x)=2^{4x}+4x^{2}
(\partial)/(\partial x)(sqrt(x^4+y^4))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{4}+y^{4}})
limit as x approaches+0 of-x^2+5x+a	\lim\:_{x\to\:+0}(-x^{2}+5x+a)
limit as h approaches 0 of ((x+h)-x)/h	\lim\:_{h\to\:0}(\frac{(x+h)-x}{h})
(x^2+1)((dy)/(dx))=xy	(x^{2}+1)(\frac{dy}{dx})=xy
integral of (1-2x)^9	\int\:(1-2x)^{9}dx
derivative of e^t*cos(2t)	derivative\:e^{t}\cdot\:\cos(2t)
integral from 0 to 2 of t^3(3+t^4)^3	\int\:_{0}^{2}t^{3}(3+t^{4})^{3}dt
integral of ((2x)/(1+x^2))	\int\:(\frac{2x}{1+x^{2}})dx
derivative of f(x)=sqrt(2)-sqrt(x)	derivative\:f(x)=\sqrt{2}-\sqrt{x}
integral of ((x+1))/(x^2(x-1))	\int\:\frac{(x+1)}{x^{2}(x-1)}dx
integral from 300 to 360 of (2400)/(x^2)	\int\:_{300}^{360}\frac{2400}{x^{2}}dx
x(dy)/(dx)+y=y^{-2}	x\frac{dy}{dx}+y=y^{-2}
integral of 1/((4t^2+9)^2)	\int\:\frac{1}{(4t^{2}+9)^{2}}dt
integral from-infinity to 0 of xe^{(3x)}	\int\:_{-\infty\:}^{0}xe^{(3x)}dx
derivative of 4sin^2(x+9cos^3(x))	\frac{d}{dx}(4\sin^{2}(x)+9\cos^{3}(x))
sum from n=0 to infinity of 1/(n(n+3))	\sum\:_{n=0}^{\infty\:}\frac{1}{n(n+3)}
integral of (x^3)/(x^2-25)	\int\:\frac{x^{3}}{x^{2}-25}dx
(\partial)/(\partial x)(sqrt(x^2-2x+3))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}-2x+3})
derivative of (4x/3)	\frac{d}{dx}(\frac{4x}{3})
area 8/(1+x^4),4x^2	area\:\frac{8}{1+x^{4}},4x^{2}
y^'+y/t =3cos(2t)	y^{\prime\:}+\frac{y}{t}=3\cos(2t)
(dy)/(dx)=(y+x)/(y-x)	\frac{dy}{dx}=\frac{y+x}{y-x}
(dx)/(dt)=5x	\frac{dx}{dt}=5x
derivative of bsin(x)	\frac{d}{dx}(b\sin(x))
limit as x approaches 4 of-2x^2	\lim\:_{x\to\:4}(-2x^{2})
limit as x approaches-infinity of-2x^5	\lim\:_{x\to\:-\infty\:}(-2x^{5})
tangent of f(x)=x^3-9x^2+10x,\at x=1	tangent\:f(x)=x^{3}-9x^{2}+10x,\at\:x=1
tangent of x^2-5x,\at x=4	tangent\:x^{2}-5x,\at\:x=4
derivative of arctan(x^3)	\frac{d}{dx}(\arctan(x^{3}))
derivative of e^{-st}dt	derivative\:e^{-st}dt
integral of 7sin^3(xco)s^7x	\int\:7\sin^{3}(xco)s^{7}xdx
integral of (z+1)e^{6z}	\int\:(z+1)e^{6z}dz
derivative of (x^2-2x+2/(x-1))	\frac{d}{dx}(\frac{x^{2}-2x+2}{x-1})
integral of sqrt(1+4y^2)	\int\:\sqrt{1+4y^{2}}dy
derivative of (ln(x))/(x^3)	derivative\:\frac{\ln(x)}{x^{3}}
derivative of y=(5x^2+3)/(x^2+1)	derivative\:y=\frac{5x^{2}+3}{x^{2}+1}
(\partial)/(\partial x)(cos(x/2))	\frac{\partial\:}{\partial\:x}(\cos(\frac{x}{2}))
limit as x approaches 7 of 2x^{-1}	\lim\:_{x\to\:7}(2x^{-1})
derivative of f(x)=(x^{12})/(x^2)	derivative\:f(x)=\frac{x^{12}}{x^{2}}
derivative of (8x)/(x^2+1)	derivative\:\frac{8x}{x^{2}+1}
derivative of 2(x^2+y^2^2)	\frac{d}{dx}(2(x^{2}+y^{2})^{2})
integral of cos(3x)cos(9x)	\int\:\cos(3x)\cos(9x)dx
integral of (2x-2)/(x^2-2x)	\int\:\frac{2x-2}{x^{2}-2x}dx
inverse oflaplace 1/s 1/(s^2+20s+100)	inverselaplace\:\frac{1}{s}\frac{1}{s^{2}+20s+100}
integral from 0 to 3 of-2x^2	\int\:_{0}^{3}-2x^{2}dx
(\partial)/(\partial y)(3y^2x^4)	\frac{\partial\:}{\partial\:y}(3y^{2}x^{4})
derivative of cos(tan(3x))	\frac{d}{dx}(\cos(\tan(3x)))
y^{''}-y^'-12y=-5e^{3t},y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-y^{\prime\:}-12y=-5e^{3t},y(0)=0,y^{\prime\:}(0)=0
derivative of sqrt(-2x+4)	\frac{d}{dx}(\sqrt{-2x+4})
limit as x approaches 3-of x	\lim\:_{x\to\:3-}(x)
derivative of (-x^2-2x-2^3)	\frac{d}{dx}((-x^{2}-2x-2)^{3})
derivative of sec^2(2t)	derivative\:\sec^{2}(2t)
integral of 1/(sqrt(n+1))	\int\:\frac{1}{\sqrt{n+1}}
derivative of (6x^3+2x+9)(x^2+6)	derivative\:(6x^{3}+2x+9)(x^{2}+6)
derivative of e^{-x}+e^{-2x}	\frac{d}{dx}(e^{-x}+e^{-2x})
(\partial)/(\partial x)(2e^x)	\frac{\partial\:}{\partial\:x}(2e^{x})
xy^'+y=2xy^2	xy^{\prime\:}+y=2xy^{2}
derivative of 2^{2x+2}	\frac{d}{dx}(2^{2x+2})
integral of (x(3-5x))/((3x-1)(x-1)^2)	\int\:\frac{x(3-5x)}{(3x-1)(x-1)^{2}}dx
limit as x approaches 3-of 1/((x-3)^3)	\lim\:_{x\to\:3-}(\frac{1}{(x-3)^{3}})
area 7x+y^2=15,x=2y	area\:7x+y^{2}=15,x=2y

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