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Popular Calculus Problems

derivative of 6/(x^2+3)	\frac{d}{dx}(\frac{6}{x^{2}+3})
limit as x approaches-2 of x+4	\lim\:_{x\to\:-2}(x+4)
derivative of (x^2+1)^2	derivative\:(x^{2}+1)^{2}
derivative of 3/(2sqrt(x))	\frac{d}{dx}(\frac{3}{2\sqrt{x}})
derivative of f(x)=8	derivative\:f(x)=8
inverse oflaplace ((s+1))/(s^2+s-1)	inverselaplace\:\frac{(s+1)}{s^{2}+s-1}
integral from 3 to 7 of t/(sqrt(7+t^2))	\int\:_{3}^{7}\frac{t}{\sqrt{7+t^{2}}}dt
integral of (3-x)/(2x^2+x-1)	\int\:\frac{3-x}{2x^{2}+x-1}dx
xv'+v=(2v)/(1-v^2)	xv\prime\:+v=\frac{2v}{1-v^{2}}
tangent of f(x)=sqrt(2x+77),\at x=2	tangent\:f(x)=\sqrt{2x+77},\at\:x=2
limit as x approaches 0-of ((6x))/(x^4)	\lim\:_{x\to\:0-}(\frac{(6x)}{x^{4}})
y^{''}-8y^'+7y=0	y^{\prime\:\prime\:}-8y^{\prime\:}+7y=0
integral from 0 to 5 of (140x^2+9800)	\int\:_{0}^{5}(140x^{2}+9800)dx
derivative of y=acos(t)+t^2sin(t)	derivative\:y=a\cos(t)+t^{2}\sin(t)
(\partial)/(\partial x)((x+y)e^{x+y})	\frac{\partial\:}{\partial\:x}((x+y)e^{x+y})
limit as x approaches 7 of 4	\lim\:_{x\to\:7}(4)
sum from n=0 to infinity of 1/(1^n)	\sum\:_{n=0}^{\infty\:}\frac{1}{1^{n}}
tangent of 6x-x^2	tangent\:6x-x^{2}
integral of (14)/(x^8)	\int\:\frac{14}{x^{8}}dx
(dy)/(dx)=7e^{x-y}	\frac{dy}{dx}=7e^{x-y}
laplacetransform e^{(-5t)}	laplacetransform\:e^{(-5t)}
limit as x approaches 0 of (\|x-0\|)/(0-x)	\lim\:_{x\to\:0}(\frac{\left\|x-0\right\|}{0-x})
derivative of f(x)=(2/3 x)^3	derivative\:f(x)=(\frac{2}{3}x)^{3}
integral of (sqrt(t^4+7t))(4t^3+7)	\int\:(\sqrt{t^{4}+7t})(4t^{3}+7)dt
limit as x approaches-9 of (x^2-1)/(9-x)	\lim\:_{x\to\:-9}(\frac{x^{2}-1}{9-x})
(\partial)/(\partial x)(yln(xy^2p^3))	\frac{\partial\:}{\partial\:x}(y\ln(xy^{2}p^{3}))
limit as x approaches 0+of 3(x)^{x/2}	\lim\:_{x\to\:0+}(3(x)^{\frac{x}{2}})
integral from 0 to 7 of 1/(sqrt(49-x^2))	\int\:_{0}^{7}\frac{1}{\sqrt{49-x^{2}}}dx
derivative of cos(sin(3x))	derivative\:\cos(\sin(3x))
integral of 3t^2+6t	\int\:3t^{2}+6tdt
(dy)/(dx)=8xsqrt(y+1)	\frac{dy}{dx}=8x\sqrt{y+1}
integral of sin(x+pi)	\int\:\sin(x+π)dx
derivative of 5arctan(x^2)	\frac{d}{dx}(5\arctan(x^{2}))
derivative of (1-5x/x)	\frac{d}{dx}(\frac{1-5x}{x})
derivative of xy^2-x^2y+xy	\frac{d}{dx}(xy^{2}-x^{2}y+xy)
derivative of 2x^2+1/(x^2)	derivative\:2x^{2}+\frac{1}{x^{2}}
integral of (x^3)/((x^2-256)^{3/2)}	\int\:\frac{x^{3}}{(x^{2}-256)^{\frac{3}{2}}}dx
slope of (0,-10),(6,10)	slope\:(0,-10),(6,10)
derivative of 2/(5x^3)	derivative\:\frac{2}{5x^{3}}
tangent of f(x)=1-x-2x^2,\at x=2	tangent\:f(x)=1-x-2x^{2},\at\:x=2
limit as x approaches 0 of 8000sqrt(x)	\lim\:_{x\to\:0}(8000\sqrt{x})
taylor 1/x ,\at 1	taylor\:\frac{1}{x},\at\:1
limit as x approaches 0 of 10	\lim\:_{x\to\:0}(10)
f(x)=cos(pix)	f(x)=\cos(πx)
derivative of (x^3-8/(x-2))	\frac{d}{dx}(\frac{x^{3}-8}{x-2})
y^{'''}-11y^{''}+24y^'=14e^x	y^{\prime\:\prime\:\prime\:}-11y^{\prime\:\prime\:}+24y^{\prime\:}=14e^{x}
limit as x approaches 1-of ln(1-x)	\lim\:_{x\to\:1-}(\ln(1-x))
derivative of 1/((1+2x^2))	\frac{d}{dx}(\frac{1}{(1+2x)^{2}})
(\partial)/(\partial z)(4xy^3(z^2+1)^3)	\frac{\partial\:}{\partial\:z}(4xy^{3}(z^{2}+1)^{3})
derivative of y=e^{x+4}+6	derivative\:y=e^{x+4}+6
integral of e^{ipiz}	\int\:e^{iπz}dz
limit as x approaches infinity of-4+3/x	\lim\:_{x\to\:\infty\:}(-4+\frac{3}{x})
derivative of sqrt(x)(x-4)	derivative\:\sqrt{x}(x-4)
sum from n=6 to infinity of e^{5-6n}	\sum\:_{n=6}^{\infty\:}e^{5-6n}
derivative of ln((sqrt(4+x^2)/x))	\frac{d}{dx}(\ln(\frac{\sqrt{4+x^{2}}}{x}))
derivative of f(t)=sqrt(t)-1/(sqrt(t))	derivative\:f(t)=\sqrt{t}-\frac{1}{\sqrt{t}}
integral of (24)/((1-x^2)^{3/2)}	\int\:\frac{24}{(1-x^{2})^{\frac{3}{2}}}dx
y^{''}-y^'=x^2-3x	y^{\prime\:\prime\:}-y^{\prime\:}=x^{2}-3x
integral from 1 to infinity of e^{-4x}	\int\:_{1}^{\infty\:}e^{-4x}dx
integral of (sec(x)tan(x))/(sec(x)-2)	\int\:\frac{\sec(x)\tan(x)}{\sec(x)-2}dx
(dy)/(dt)-5y=-9e^{2t}	\frac{dy}{dt}-5y=-9e^{2t}
derivative of (2x^3)/3+(x^2)/2+6x+6	derivative\:\frac{2x^{3}}{3}+\frac{x^{2}}{2}+6x+6
limit as x approaches 2 of ln(x)	\lim\:_{x\to\:2}(\ln(x))
integral of 1/(x^2sqrt(16-x))	\int\:\frac{1}{x^{2}\sqrt{16-x}}dx
slope of-5/(x^3),\at x=9	slope\:-\frac{5}{x^{3}},\at\:x=9
limit as x approaches 58 of (sqrt(x+6)-8)/(x-58)	\lim\:_{x\to\:58}(\frac{\sqrt{x+6}-8}{x-58})
derivative of f(t)=(25)/(t^2)-5/t	derivative\:f(t)=\frac{25}{t^{2}}-\frac{5}{t}
inverse oflaplace-2/(s(s-1)+2)	inverselaplace\:-\frac{2}{s(s-1)+2}
derivative of y=2xe^{-kx}	derivative\:y=2xe^{-kx}
taylor (-3x+14)^{4/3}	taylor\:(-3x+14)^{\frac{4}{3}}
integral of (x^2y-ln(cos(x)))	\int\:(x^{2}y-\ln(\cos(x)))dy
integral of 1/(xsqrt(2x-1))	\int\:\frac{1}{x\sqrt{2x-1}}dx
derivative of y=x(x-10)	derivative\:y=x(x-10)
tangent of y=x^4+2e^x(0.2)	tangent\:y=x^{4}+2e^{x}(0.2)
integral from 0 to 1 of sqrt(1-x^2)	\int\:_{0}^{1}\sqrt{1-x^{2}}dx
derivative of cot^2(7x)	\frac{d}{dx}(\cot^{2}(7x))
integral of k/(k-x)	\int\:\frac{k}{k-x}dx
(dy)/(dx)=(x-4)/(y+6)	\frac{dy}{dx}=\frac{x-4}{y+6}
derivative of 2x+((x^2-x)/((x^3+x+1)))	\frac{d}{dx}(2x+\frac{(x^{2}-x)}{(x^{3}+x+1)})
derivative of-x+5	\frac{d}{dx}(-x+5)
integral of cos(4x)sin(4x)	\int\:\cos(4x)\sin(4x)dx
integral of e^{(5x)/6}	\int\:e^{\frac{5x}{6}}dx
integral of 20xe^{-5x}	\int\:20xe^{-5x}dx
area y=x^2-2x,y=2x+5	area\:y=x^{2}-2x,y=2x+5
(\partial)/(\partial x)(cos(-(2y^2+4x)))	\frac{\partial\:}{\partial\:x}(\cos(-(2y^{2}+4x)))
(ln(1+x))^'	(\ln(1+x))^{\prime\:}
integral of cos(x)+sec(x)tan(x)	\int\:\cos(x)+\sec(x)\tan(x)dx
derivative of x^5f(x)	derivative\:x^{5}f(x)
integral of (2e^x+4)/(2e^x-4)	\int\:\frac{2e^{x}+4}{2e^{x}-4}dx
integral of (x^3+3x^2)	\int\:(x^{3}+3x^{2})dx
area sec^2(x),8cos(x),-pi/3 , pi/3	area\:\sec^{2}(x),8\cos(x),-\frac{π}{3},\frac{π}{3}
(\partial)/(\partial x)((3z+2)^5e^{(-x-5)}ln(4y-1))	\frac{\partial\:}{\partial\:x}((3z+2)^{5}e^{(-x-5)}\ln(4y-1))
derivative of (1-log_{e}(x))/(x^2)	derivative\:\frac{1-\log_{e}(x)}{x^{2}}
integral of sec^2(θ)	\int\:\sec^{2}(θ)dθ
tangent of f(x)=7x^4+4x^2sqrt(x)3+1	tangent\:f(x)=7x^{4}+4x^{2}\sqrt{x}3+1
integral of (1+sqrt(x))	\int\:(1+\sqrt{x})dx
integral of 1/(ln(n))	\int\:\frac{1}{\ln(n)}
integral from 0 to 1 of x*ln(x)	\int\:_{0}^{1}x\cdot\:\ln(x)dx
integral of (4x+8)/(sqrt(x^2+4x))	\int\:\frac{4x+8}{\sqrt{x^{2}+4x}}dx
y^'=(2x^6e^{y/x}+x^4y^2)/(x^5y)	y^{\prime\:}=\frac{2x^{6}e^{\frac{y}{x}}+x^{4}y^{2}}{x^{5}y}

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