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Popular Calculus Problems

(\partial)/(\partial y)(2xsin(x^2y))	\frac{\partial\:}{\partial\:y}(2x\sin(x^{2}y))
derivative of 5x^2+3x-2	\frac{d}{dx}(5x^{2}+3x-2)
slope of (-8,-14),(61,-32)	slope\:(-8,-14),(61,-32)
-(dy)/(dx)=4x^3y	-\frac{dy}{dx}=4x^{3}y
limit as h approaches 0 of 1/(2^h)	\lim\:_{h\to\:0}(\frac{1}{2^{h}})
d/(da)(a/(a^2+b^2))	\frac{d}{da}(\frac{a}{a^{2}+b^{2}})
derivative of sin(arctan(x))	\frac{d}{dx}(\sin(\arctan(x)))
integral of x2^{x^2}	\int\:x2^{x^{2}}dx
integral of+x/(x^4+7)	\int\:+\frac{x}{x^{4}+7}dx
derivative of 3/(sqrt(1-2x))	\frac{d}{dx}(\frac{3}{\sqrt{1-2x}})
integral from 0 to 1/2 of 8arccos(x)	\int\:_{0}^{\frac{1}{2}}8\arccos(x)dx
limit as x approaches 0 of-ln(x)	\lim\:_{x\to\:0}(-\ln(x))
integral of-6	\int\:-6dx
integral of q^2cos(2q)	\int\:q^{2}\cos(2q)dq
xdx+ydy=0	xdx+ydy=0
derivative of (4x^4-2x/(4x^4+2x))	\frac{d}{dx}(\frac{4x^{4}-2x}{4x^{4}+2x})
integral of ((x^2+4x-4)/(sqrt(x)))	\int\:(\frac{x^{2}+4x-4}{\sqrt{x}})dx
slope of 4x(x^2-4)	slope\:4x(x^{2}-4)
(\partial)/(\partial x)(7y-y^3-4x^2y)	\frac{\partial\:}{\partial\:x}(7y-y^{3}-4x^{2}y)
y^5y^'=-2cos(pix)	y^{5}y^{\prime\:}=-2\cos(πx)
integral of ln(3x)	\int\:\ln(3x)dx
laplacetransform \delta(t+1)	laplacetransform\:\delta(t+1)
integral of 1/(xsqrt(81x^2+1))	\int\:\frac{1}{x\sqrt{81x^{2}+1}}dx
derivative of 1/(sqrt(x^5))	derivative\:\frac{1}{\sqrt{x^{5}}}
integral of-sec^2(x)+cos(2x)	\int\:-\sec^{2}(x)+\cos(2x)dx
derivative of ((5x-2))/((x^2+1))	derivative\:\frac{(5x-2)}{(x^{2}+1)}
integral of (x-1)/(x^2+1)	\int\:\frac{x-1}{x^{2}+1}dx
derivative of (2u^2)/((u^2+u)^3)	derivative\:\frac{2u^{2}}{(u^{2}+u)^{3}}
derivative of x^2-1-((x+1/(x-1)))	\frac{d}{dx}(x^{2}-1-(\frac{x+1}{x-1}))
(5y^2-xy)dx+x^2dy=0	(5y^{2}-xy)dx+x^{2}dy=0
integral of-x/3	\int\:-\frac{x}{3}dx
derivative of-sin(2x2)	\frac{d}{dx}(-\sin(2x)2)
(x-1)y^'+(x-2)y=0	(x-1)y^{\prime\:}+(x-2)y=0
derivative of-2cos(sqrt(x))	\frac{d}{dx}(-2\cos(\sqrt{x}))
yln(x)ln(y)dx+dy=0	y\ln(x)\ln(y)dx+dy=0
integral of (2^x)/(3^x)	\int\:\frac{2^{x}}{3^{x}}dx
derivative of 6xcos(x^2)	\frac{d}{dx}(6x\cos(x^{2}))
integral from 1 to e of (x^2+1)/x	\int\:_{1}^{e}\frac{x^{2}+1}{x}dx
y^{''}=-25y	y^{\prime\:\prime\:}=-25y
integral from 0 to 1 of (x^2-sqrt(x))	\int\:_{0}^{1}(x^{2}-\sqrt{x})dx
integral of 1/(sqrt(6-x))	\int\:\frac{1}{\sqrt{6-x}}dx
integral of sqrt(1+x^4)	\int\:\sqrt{1+x^{4}}dx
derivative of ln\|sec(x\|)	\frac{d}{dx}(\ln\left\|\sec(x)\right\|)
integral of 1/(x^2-x+1)	\int\:\frac{1}{x^{2}-x+1}dx
(\partial)/(\partial x)(2(x^2+4)^{-1/2})	\frac{\partial\:}{\partial\:x}(2(x^{2}+4)^{-\frac{1}{2}})
laplacetransform 6e^{-3t}-t^2+2t-8	laplacetransform\:6e^{-3t}-t^{2}+2t-8
limit as x approaches 0+of xln(tan(6x))	\lim\:_{x\to\:0+}(x\ln(\tan(6x)))
integral of-3sin(2x)	\int\:-3\sin(2x)dx
integral from-5 to 0 of sqrt(25-x^2)	\int\:_{-5}^{0}\sqrt{25-x^{2}}dx
derivative of (4x^2+8x+8/(sqrt(x)))	\frac{d}{dx}(\frac{4x^{2}+8x+8}{\sqrt{x}})
derivative of arctan(x/b)	\frac{d}{dx}(\arctan(\frac{x}{b}))
integral of sec^2(x/2)	\int\:\sec^{2}(\frac{x}{2})dx
tangent of f(x)=-2x^3,\at x=-1	tangent\:f(x)=-2x^{3},\at\:x=-1
slope of (1,-1/2),(-2,-7/2)	slope\:(1,-\frac{1}{2}),(-2,-\frac{7}{2})
integral from 0 to pi/2 of x^3cos(2x)	\int\:_{0}^{\frac{π}{2}}x^{3}\cos(2x)dx
derivative of ((tan(3x^3+x^2)/(e^x))^3)	\frac{d}{dx}((\frac{\tan(3x^{3}+x^{2})}{e^{x}})^{3})
limit as x approaches 2 of-x^2+2x-6	\lim\:_{x\to\:2}(-x^{2}+2x-6)
integral of 1/(a-x^2)	\int\:\frac{1}{a-x^{2}}dx
derivative of x^3+12x^2+54x+14	derivative\:x^{3}+12x^{2}+54x+14
integral of sec^2(x)*tan^5(x)	\int\:\sec^{2}(x)\cdot\:\tan^{5}(x)dx
(d^2)/(dx^2)((5x^2+4x)cos(x))	\frac{d^{2}}{dx^{2}}((5x^{2}+4x)\cos(x))
integral from 4 to 5 of x^3	\int\:_{4}^{5}x^{3}dx
integral of t^{15}e^{-t^8}	\int\:t^{15}e^{-t^{8}}dt
derivative of (e^x-cos(x)/(ln(x)))	\frac{d}{dx}(\frac{e^{x}-\cos(x)}{\ln(x)})
integral from 0 to 1 of x+1	\int\:_{0}^{1}x+1dx
integral of (6x^3+5x^2-46x-39)/(x^2-9)	\int\:\frac{6x^{3}+5x^{2}-46x-39}{x^{2}-9}dx
3xdy-2ydx=0	3xdy-2ydx=0
integral of (x-1/x)^3	\int\:(x-\frac{1}{x})^{3}dx
integral of 1/((x-3)^2+3)	\int\:\frac{1}{(x-3)^{2}+3}dx
limit as x approaches-10 of 7	\lim\:_{x\to\:-10}(7)
integral of (ycos(xy))	\int\:(y\cos(xy))dx
limit as x approaches-7+of (x+8)/(x+7)	\lim\:_{x\to\:-7+}(\frac{x+8}{x+7})
derivative of 5ln(4x^2)	\frac{d}{dx}(5\ln(4x^{2}))
implicit x^8+y^7=9	implicit\:x^{8}+y^{7}=9
y^'+3xy^3=0	y^{\prime\:}+3xy^{3}=0
tangent of f(x)=(x+3)/(x-3)	tangent\:f(x)=\frac{x+3}{x-3}
integral from-1 to 2 of 3xsqrt(4x^2-2)	\int\:_{-1}^{2}3x\sqrt{4x^{2}-2}dx
limit as x approaches 0-of 1/(e^x-1)	\lim\:_{x\to\:0-}(\frac{1}{e^{x}-1})
integral of 0.815xe^{-0.3x}	\int\:0.815xe^{-0.3x}dx
derivative of x^2(x^2+5^2)	\frac{d}{dx}(x^{2}(x^{2}+5)^{2})
d/(dt)(e^{-st})	\frac{d}{dt}(e^{-st})
derivative of xcos(5x)	\frac{d}{dx}(x\cos(5x))
limit as x approaches 1 of 9-4x^2	\lim\:_{x\to\:1}(9-4x^{2})
area x=6y^2,x=4+5y^2	area\:x=6y^{2},x=4+5y^{2}
limit as x approaches-6+of x^2+6	\lim\:_{x\to\:-6+}(x^{2}+6)
xy^'-2y=-2x^2-x+1	xy^{\prime\:}-2y=-2x^{2}-x+1
derivative of (2x+7^2)	\frac{d}{dx}((2x+7)^{2})
derivative of y-y=3	\frac{d}{dx}y-y=3
area y= 3/x ,y=8x,y= 1/8 x	area\:y=\frac{3}{x},y=8x,y=\frac{1}{8}x
derivative of x^3+8x	\frac{d}{dx}(x^{3}+8x)
taylor 1/(sqrt(1-x^2)),0	taylor\:\frac{1}{\sqrt{1-x^{2}}},0
area y=2sqrt(x),y=sqrt(x),x=0,x=4	area\:y=2\sqrt{x},y=\sqrt{x},x=0,x=4
tangent of f(x)=5-2x^2,(1,3)	tangent\:f(x)=5-2x^{2},(1,3)
derivative of 7e^{-x}-8e^{-7x}	\frac{d}{dx}(7e^{-x}-8e^{-7x})
tangent of f(x)=((x+3))/(2x+1),\at x=-1	tangent\:f(x)=\frac{(x+3)}{2x+1},\at\:x=-1
limit as x approaches 2 of 1/(\|x-2\|)	\lim\:_{x\to\:2}(\frac{1}{\left\|x-2\right\|})
integral of (7x^3-1)/(x^2)	\int\:\frac{7x^{3}-1}{x^{2}}dx
(\partial)/(\partial x)(e^xsec^2(y))	\frac{\partial\:}{\partial\:x}(e^{x}\sec^{2}(y))
derivative of f(x)=(2x)/(sqrt(x^2+9))	derivative\:f(x)=\frac{2x}{\sqrt{x^{2}+9}}
integral of In^2x	\int\:In^{2}xdx

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