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Popular Calculus Problems

(\partial)/(\partial x)(e^{2z})	\frac{\partial\:}{\partial\:x}(e^{2z})
tangent of f(x)=3x^2-4,\at x=2	tangent\:f(x)=3x^{2}-4,\at\:x=2
y^{''}-y=e^{-t},y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}-y=e^{-t},y(0)=1,y^{\prime\:}(0)=0
integral of 8+7^x	\int\:8+7^{x}dx
tangent of f(x)=e^{5x}cos(pix),\at x=1	tangent\:f(x)=e^{5x}\cos(πx),\at\:x=1
integral of-2e^x	\int\:-2e^{x}dx
derivative of-6sin(2x+3cos(3x))	\frac{d}{dx}(-6\sin(2x)+3\cos(3x))
derivative of x(55-0.5x-110)	\frac{d}{dx}(x(55-0.5x)-110)
d/(dt)(e^{3it})	\frac{d}{dt}(e^{3it})
integral of (x^3)/(x^2-100)	\int\:\frac{x^{3}}{x^{2}-100}dx
sum from n=1 to infinity of 2/(n^2+4n+2)	\sum\:_{n=1}^{\infty\:}\frac{2}{n^{2}+4n+2}
derivative of (sin(5x)/(cos(6x)))	\frac{d}{dx}(\frac{\sin(5x)}{\cos(6x)})
derivative of (x^2-4^2(x-1))	\frac{d}{dx}((x^{2}-4)^{2}(x-1))
derivative of ((1-5t))/(2+t)	derivative\:\frac{(1-5t)}{2+t}
(\partial)/(\partial x)(1/(sqrt(2pit))e^{-((x-y)^2)/(2t)})	\frac{\partial\:}{\partial\:x}(\frac{1}{\sqrt{2πt}}e^{-\frac{(x-y)^{2}}{2t}})
limit as x approaches 1-of 2x-1	\lim\:_{x\to\:1-}(2x-1)
derivative of f(x)=(4x)/(x^2+4)	derivative\:f(x)=\frac{4x}{x^{2}+4}
integral of (28)/(1-cos(4x))	\int\:\frac{28}{1-\cos(4x)}dx
y^'=y+x,y(0)=1	y^{\prime\:}=y+x,y(0)=1
(dy)/(dx)=(y^2-1)/(x^2-1),y(2)=2	\frac{dy}{dx}=\frac{y^{2}-1}{x^{2}-1},y(2)=2
integral of sin(t)e^{-2/3 t}	\int\:\sin(t)e^{-\frac{2}{3}t}dt
integral from 1 to 2 of x^2e^{x^3-1}	\int\:_{1}^{2}x^{2}e^{x^{3}-1}dx
sum from n=1 to infinity of 1/(\sqrt[n]{2)}	\sum\:_{n=1}^{\infty\:}\frac{1}{\sqrt[n]{2}}
y^{''}+9y=(sec(3t))^2	y^{\prime\:\prime\:}+9y=(\sec(3t))^{2}
(dy}{dx}+(2y)/x =\frac{sin(x))/(x^2)	\frac{dy}{dx}+\frac{2y}{x}=\frac{\sin(x)}{x^{2}}
laplacetransform te^{-t}	laplacetransform\:te^{-t}
derivative of e^{-2x}-3y	\frac{d}{dx}(e^{-2x}-3y)
derivative of (2x-1/(x+2))	\frac{d}{dx}(\frac{2x-1}{x+2})
integral of ((\sqrt[3]{x}+sqrt(x^5))/x)	\int\:(\frac{\sqrt[3]{x}+\sqrt{x^{5}}}{x})dx
y^'=e^{8x}-6x	y^{\prime\:}=e^{8x}-6x
derivative of f(x)=(40t)/(t+2)	derivative\:f(x)=\frac{40t}{t+2}
limit as h approaches 0 of (2x+h)-2x	\lim\:_{h\to\:0}((2x+h)-2x)
derivative of cos((1-e^{4x})/(1+e^{4x)})	derivative\:\cos(\frac{1-e^{4x}}{1+e^{4x}})
integral of sin(x^2-5)x	\int\:\sin(x^{2}-5)xdx
y^'=x^{2/3}	y^{\prime\:}=x^{\frac{2}{3}}
integral from 1 to e^4 of (ln(x))/(x^2)	\int\:_{1}^{e^{4}}\frac{\ln(x)}{x^{2}}dx
limit as x approaches infinito of 10	\lim\:_{x\to\:infinito}(10)
(\partial)/(\partial x)(5(y^2-x^2)ln(x+y))	\frac{\partial\:}{\partial\:x}(5(y^{2}-x^{2})\ln(x+y))
t^2y^{''}-2y=0	t^{2}y^{\prime\:\prime\:}-2y=0
derivative of sin(xcos(3-x^2))	\frac{d}{dx}(\sin(x)\cos(3-x^{2}))
derivative of e^{ax}a	\frac{d}{dx}(e^{ax}a)
(dy)/(dx)=x^3	\frac{dy}{dx}=x^{3}
(x+y-2)dx+(x-y+4)dy=0	(x+y-2)dx+(x-y+4)dy=0
(\partial)/(\partial x)(e^x+cos(xy))	\frac{\partial\:}{\partial\:x}(e^{x}+\cos(xy))
derivative of-x^2-2	\frac{d}{dx}(-x^{2}-2)
integral of (2x)/(sqrt(9-x^4))	\int\:\frac{2x}{\sqrt{9-x^{4}}}dx
slope of (-3,1),(-7,-2)	slope\:(-3,1),(-7,-2)
derivative of (sec(x))^3	derivative\:(\sec(x))^{3}
integral of (e^x)/((e^x-8)(e^{2x)+1)}	\int\:\frac{e^{x}}{(e^{x}-8)(e^{2x}+1)}dx
limit as x approaches infinity of 3+5/x	\lim\:_{x\to\:\infty\:}(3+\frac{5}{x})
(\partial)/(\partial x)(d/t)	\frac{\partial\:}{\partial\:x}(\frac{d}{t})
integral from 0 to 5 of \|5x-10\|	\int\:_{0}^{5}\left\|5x-10\right\|dx
y^'=3x(y-1)^{1/3}	y^{\prime\:}=3x(y-1)^{\frac{1}{3}}
area 10x-5x^2,x=\sqrt[3]{4},x=2	area\:10x-5x^{2},x=\sqrt[3]{4},x=2
(\partial)/(\partial x)(3x*e^{2x+y^2})	\frac{\partial\:}{\partial\:x}(3x\cdot\:e^{2x+y^{2}})
derivative of xsqrt(3-2x^2)	\frac{d}{dx}(x\sqrt{3-2x^{2}})
integral of u/(sqrt(u^2-1))	\int\:\frac{u}{\sqrt{u^{2}-1}}du
(dN)/(dt)=(te^t)/(N^2)	\frac{dN}{dt}=\frac{te^{t}}{N^{2}}
sum from n=0 to infinity of 1/(n^5)	\sum\:_{n=0}^{\infty\:}\frac{1}{n^{5}}
sum from n=8 to infinity of (1/4)^n	\sum\:_{n=8}^{\infty\:}(\frac{1}{4})^{n}
integral of csc^2(kx)	\int\:\csc^{2}(kx)dx
derivative of (7x^2)/(sqrt(x))	derivative\:\frac{7x^{2}}{\sqrt{x}}
derivative of (x^2/4+2x+3)	\frac{d}{dx}(\frac{x^{2}}{4}+2x+3)
integral of 1/(x^2-7x+10)	\int\:\frac{1}{x^{2}-7x+10}dx
d/(dy)(x^2-3y^2)	\frac{d}{dy}(x^{2}-3y^{2})
integral of 4x^2ln(x)	\int\:4x^{2}\ln(x)dx
integral of x/((x^2+2x+2)^2)	\int\:\frac{x}{(x^{2}+2x+2)^{2}}dx
derivative of (1+7x^2)(x-x^2)	derivative\:(1+7x^{2})(x-x^{2})
integral of (e^x)/(sqrt(1-16e^{2x))}	\int\:\frac{e^{x}}{\sqrt{1-16e^{2x}}}dx
integral from 9 to 10 of 1/((x-9)^{4/3)}	\int\:_{9}^{10}\frac{1}{(x-9)^{\frac{4}{3}}}dx
integral from 0 to 6.25 of-x^2+5x	\int\:_{0}^{6.25}-x^{2}+5xdx
integral of 15x^{1/4}	\int\:15x^{\frac{1}{4}}dx
derivative of arctan(x^5)	\frac{d}{dx}(\arctan(x^{5}))
area \sqrt[3]{x}, 1/x ,x=27	area\:\sqrt[3]{x},\frac{1}{x},x=27
(\partial)/(\partial y)(y^{2x})	\frac{\partial\:}{\partial\:y}(y^{2x})
limit as x approaches-2 of 4x^3+4x-2	\lim\:_{x\to\:-2}(4x^{3}+4x-2)
area 8-x^2,x^2,(-3,3)	area\:8-x^{2},x^{2},(-3,3)
derivative of 1/(x+1)	derivative\:\frac{1}{x+1}
y^{''}+4y^'+5y=10x+5e^{-x}	y^{\prime\:\prime\:}+4y^{\prime\:}+5y=10x+5e^{-x}
area 3x^2,-3x+6	area\:3x^{2},-3x+6
integral of (sec^2(x)e^{tan(x)})	\int\:(\sec^{2}(x)e^{\tan(x)})dx
tangent of (sqrt(x))/(x+4)	tangent\:\frac{\sqrt{x}}{x+4}
derivative of log_{8}(2x^3+3x^2+1)	derivative\:\log_{8}(2x^{3}+3x^{2}+1)
integral of (sqrt(4x^2-9))/(x^3)	\int\:\frac{\sqrt{4x^{2}-9}}{x^{3}}dx
limit as x approaches 0 of sqrt(x)	\lim\:_{x\to\:0}(\sqrt{x})
limit as x approaches 1 of 1/(\|x-1\|)	\lim\:_{x\to\:1}(\frac{1}{\left\|x-1\right\|})
(\partial)/(\partial y)(tan(3+2x^2y^3z^2))	\frac{\partial\:}{\partial\:y}(\tan(3+2x^{2}y^{3}z^{2}))
integral of 1/(x^2sqrt(x-1))	\int\:\frac{1}{x^{2}\sqrt{x-1}}dx
integral of (4^x-1/(3x))	\int\:(4^{x}-\frac{1}{3x})dx
derivative of f(x)=x^{7x}	derivative\:f(x)=x^{7x}
maclaurin 1/(1+x+x^2)	maclaurin\:\frac{1}{1+x+x^{2}}
factor 12x^5-8x^4+20x^3	factor\:12x^{5}-8x^{4}+20x^{3}
slope of (-1,8),(3,-4)	slope\:(-1,8),(3,-4)
f(x)=(3x^3-4)(-4x-3)	f(x)=(3x^{3}-4)(-4x-3)
area y=cos(x),y=0.5	area\:y=\cos(x),y=0.5
integral from-10 to 10 of xe^{-x^8}	\int\:_{-10}^{10}xe^{-x^{8}}dx
derivative of sin(x/2)	derivative\:\sin(\frac{x}{2})
derivative of ((x+3))/(x^2-4)	derivative\:\frac{(x+3)}{x^{2}-4}
(9x^2+y-1)dx-(4y-x)dy=0	(9x^{2}+y-1)dx-(4y-x)dy=0
(\partial)/(\partial x)(1+ln(x)+y/x)	\frac{\partial\:}{\partial\:x}(1+\ln(x)+\frac{y}{x})

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