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Popular Calculus Problems

derivative of e^xsin(8x)	\frac{d}{dx}(e^{x}\sin(8x))
laplacetransform 1-2e^{-4t}	laplacetransform\:1-2e^{-4t}
integral of 1/(x-x^2+2)	\int\:\frac{1}{x-x^{2}+2}dx
integral of (2+x)/x	\int\:\frac{2+x}{x}dx
derivative of e^{aarccos(x})	\frac{d}{dx}(e^{a\arccos(x)})
area 2cos(9x),2-2cos(9x),[0, pi/9 ]	area\:2\cos(9x),2-2\cos(9x),[0,\frac{π}{9}]
integral of 6arctan(sqrt(x))	\int\:6\arctan(\sqrt{x})dx
limit as x approaches 8+of 1/(\|8-x\|)	\lim\:_{x\to\:8+}(\frac{1}{\left\|8-x\right\|})
taylor sin(8x)	taylor\:\sin(8x)
(dy)/(dx)=b-ay	\frac{dy}{dx}=b-ay
y^'=x(1+y^2)	y^{\prime\:}=x(1+y^{2})
tangent of y=t^3-36t+4,(6,4)	tangent\:y=t^{3}-36t+4,(6,4)
limit as x approaches 0-of e^{4/(x^5)}	\lim\:_{x\to\:0-}(e^{\frac{4}{x^{5}}})
integral of (x^2-6)/((x+2)(2x-1))	\int\:\frac{x^{2}-6}{(x+2)(2x-1)}dx
area y=x^2,y=sqrt(6+x)	area\:y=x^{2},y=\sqrt{6+x}
derivative of log_{e}(4x)	\frac{d}{dx}(\log_{e}(4x))
derivative of (8(4x^4+5)^3)	\frac{d}{dx}((8(4x)^{4}+5)^{3})
(\partial)/(\partial y)(arctan(x)y)	\frac{\partial\:}{\partial\:y}(\arctan(x)y)
tangent of 4-ln(x)	tangent\:4-\ln(x)
y^{''}+4y^'+40y=40cos(8t)	y^{\prime\:\prime\:}+4y^{\prime\:}+40y=40\cos(8t)
(\partial)/(\partial x)(1/(3x))	\frac{\partial\:}{\partial\:x}(\frac{1}{3x})
integral of 1+4x	\int\:1+4xdx
derivative of sec^2(9x)	\frac{d}{dx}(\sec^{2}(9x))
(\partial)/(\partial x)(1/(2x)arctan(y/x))	\frac{\partial\:}{\partial\:x}(\frac{1}{2x}\arctan(\frac{y}{x}))
integral of 1/(\sqrt[3]{x)-x}	\int\:\frac{1}{\sqrt[3]{x}-x}dx
tangent of (8x^2+4x+4)/(sqrt(4))	tangent\:\frac{8x^{2}+4x+4}{\sqrt{4}}
integral of (e^x+5)	\int\:(e^{x}+5)dx
limit as x approaches 3 of 9-x^2	\lim\:_{x\to\:3}(9-x^{2})
limit as x approaches 0 of (ln(x))^2	\lim\:_{x\to\:0}((\ln(x))^{2})
limit as x approaches-1+of 1/(x^2+1)	\lim\:_{x\to\:-1+}(\frac{1}{x^{2}+1})
integral of (6x^2-5x-1)	\int\:(6x^{2}-5x-1)dx
limit as x approaches infinity of i/n	\lim\:_{x\to\:\infty\:}(\frac{i}{n})
(dy}{dx}-y-\frac{y^2)/4 =0	\frac{dy}{dx}-y-\frac{y^{2}}{4}=0
integral of (2x+8x^2)	\int\:(2x+8x^{2})dx
derivative of y/(x^2)	\frac{d}{dx}(\frac{y}{x^{2}})
area y=x^2-4,y=0	area\:y=x^{2}-4,y=0
y^{''}-6y^'-8y=0	y^{\prime\:\prime\:}-6y^{\prime\:}-8y=0
derivative of sqrt(x)+1/(sqrt(x))	derivative\:\sqrt{x}+\frac{1}{\sqrt{x}}
(\partial)/(\partial x)(5x^4+2xy^2+1)	\frac{\partial\:}{\partial\:x}(5x^{4}+2xy^{2}+1)
d/(dy)((1/(y^2)-5/(y^4))(y+7y^3))	\frac{d}{dy}((\frac{1}{y^{2}}-\frac{5}{y^{4}})(y+7y^{3}))
area x^2-3x,2x+6	area\:x^{2}-3x,2x+6
(\partial)/(\partial z)(x^2y-3xz+5y+7z)	\frac{\partial\:}{\partial\:z}(x^{2}y-3xz+5y+7z)
derivative of 20sin(x)	\frac{d}{dx}(20\sin(x))
integral of-(10)/(x^{11)}	\int\:-\frac{10}{x^{11}}dx
(\partial)/(\partial x)((y+x)/(y+z))	\frac{\partial\:}{\partial\:x}(\frac{y+x}{y+z})
(\partial)/(\partial x)(ln(x)-2)	\frac{\partial\:}{\partial\:x}(\ln(x)-2)
limit as x approaches 1 of (2x)/(x^2+x)	\lim\:_{x\to\:1}(\frac{2x}{x^{2}+x})
(\partial)/(\partial y)(-xy)	\frac{\partial\:}{\partial\:y}(-xy)
derivative of (2x^2+1^4)	\frac{d}{dx}((2x^{2}+1)^{4})
(d^2)/(dx^2)(e^{-x})	\frac{d^{2}}{dx^{2}}(e^{-x})
y^'=e^{2x-1}*y^2	y^{\prime\:}=e^{2x-1}\cdot\:y^{2}
integral from 0 to 2 of 2x^2	\int\:_{0}^{2}2x^{2}dx
derivative of sqrt(1-2x^2)	\frac{d}{dx}(\sqrt{1-2x^{2}})
derivative of (sqrt(x)/(x^3+1))	\frac{d}{dx}(\frac{\sqrt{x}}{x^{3}+1})
limit as x approaches 2+of 2sqrt(x-2)	\lim\:_{x\to\:2+}(2\sqrt{x-2})
tangent of y=sin(sin(x)),(pi,0)	tangent\:y=\sin(\sin(x)),(π,0)
derivative of sin(x^2-4)	\frac{d}{dx}(\sin(x^{2}-4))
(\partial)/(\partial u)((u^2v-v^3)^5)	\frac{\partial\:}{\partial\:u}((u^{2}v-v^{3})^{5})
integral of xysin(z)	\int\:xy\sin(z)dz
tangent of y=x^{-1/7},(1,1)	tangent\:y=x^{-\frac{1}{7}},(1,1)
(\partial)/(\partial x)(x^2+2xy+2y^2-6x+6y)	\frac{\partial\:}{\partial\:x}(x^{2}+2xy+2y^{2}-6x+6y)
derivative of (x^2+3(x^2-3)x^2)	\frac{d}{dx}((x^{2}+3)(x^{2}-3)x^{2})
derivative of-2x^{-3}	\frac{d}{dx}(-2x^{-3})
g'(x)	g\prime\:(x)
integral of-6/x	\int\:-\frac{6}{x}dx
limit as x approaches 0-of arctan(1/x)	\lim\:_{x\to\:0-}(\arctan(\frac{1}{x}))
(\partial)/(\partial x)(x^2+4y)	\frac{\partial\:}{\partial\:x}(x^{2}+4y)
integral from 0 to P of 1/(M-P)	\int\:_{0}^{P}\frac{1}{M-P}dP
slope ofintercept (1)(0.3)	slopeintercept\:(1)(0.3)
integral from-1 to 1 of x^3(1+x^4)^3	\int\:_{-1}^{1}x^{3}(1+x^{4})^{3}dx
tangent of f(x)=8+5x^2-2x^3,(1,11)	tangent\:f(x)=8+5x^{2}-2x^{3},(1,11)
tangent of f(x)= 4/x ,(4,1)	tangent\:f(x)=\frac{4}{x},(4,1)
integral from 0 to ln(3) of 2(3-xe^x)	\int\:_{0}^{\ln(3)}2(3-xe^{x})dx
derivative of x^4+x^3+x^2+x+1	\frac{d}{dx}(x^{4}+x^{3}+x^{2}+x+1)
integral of x3^{x^2}	\int\:x3^{x^{2}}dx
slope of f(x)=2-4/x	slope\:f(x)=2-\frac{4}{x}
integral of 4sin^2(2x)	\int\:4\sin^{2}(2x)dx
derivative of ((x^2-2x)/(x+1))	\frac{d}{dx}(\frac{(x^{2}-2x)}{x+1})
(dy)/(dx)=e^ycos(2x)	\frac{dy}{dx}=e^{y}\cos(2x)
f(t)=2cos(t)	f(t)=2\cos(t)
area x=-2,x=1,y=3x,y=x^2-4	area\:x=-2,x=1,y=3x,y=x^{2}-4
y^{''}+y=5csc^2(t)	y^{\prime\:\prime\:}+y=5\csc^{2}(t)
derivative of f(x)=sqrt(8x^{10)+6x^6}	derivative\:f(x)=\sqrt{8x^{10}+6x^{6}}
integral of 1/(x^2)e^{1/x}	\int\:\frac{1}{x^{2}}e^{\frac{1}{x}}dx
y^'+y=-x^4	y^{\prime\:}+y=-x^{4}
(\partial)/(\partial y)(x+y/z)	\frac{\partial\:}{\partial\:y}(x+\frac{y}{z})
integral of 7xe^{6x}	\int\:7xe^{6x}dx
tangent of y=2x^2+1,(3,19)	tangent\:y=2x^{2}+1,(3,19)
tangent of f(x)=(1+2x)^2,\at x=4	tangent\:f(x)=(1+2x)^{2},\at\:x=4
derivative of (x^3)/(2-x^2)	derivative\:\frac{x^{3}}{2-x^{2}}
(sin^4(x))^'	(\sin^{4}(x))^{\prime\:}
inverse oflaplace 2/((s+1)^3)	inverselaplace\:\frac{2}{(s+1)^{3}}
derivative of xe^{y/x}	\frac{d}{dx}(xe^{\frac{y}{x}})
limit as x approaches 1 of (1-x)^2+2	\lim\:_{x\to\:1}((1-x)^{2}+2)
derivative of (2160/(x^2))	\frac{d}{dx}(\frac{2160}{x^{2}})
limit as x approaches infinity of 4/0	\lim\:_{x\to\:\infty\:}(\frac{4}{0})
integral from 0 to 4 of x^2(0.5-0.125x)	\int\:_{0}^{4}x^{2}(0.5-0.125x)dx
derivative of tan(6x^2+3)	\frac{d}{dx}(\tan(6x^{2}+3))
integral of e^{3x}cos(x/3)	\int\:e^{3x}\cos(\frac{x}{3})dx
derivative of 4tan(θ)	derivative\:4\tan(θ)

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