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Popular Calculus Problems
tangent of f(x)=3x^{2/3}-3,\at x=27
tangent\:f(x)=3x^{\frac{2}{3}}-3,\at\:x=27
derivative of 12x^{1/2}
\frac{d}{dx}(12x^{\frac{1}{2}})
integral of sin(9)
\int\:\sin(9)
integral of 1/(5-3x^2)
\int\:\frac{1}{5-3x^{2}}dx
integral of (e^y)/(e^y+1)
\int\:\frac{e^{y}}{e^{y}+1}dy
integral of 1/(5x^3-7x^2)
\int\:\frac{1}{5x^{3}-7x^{2}}dx
area x^2,x^k0,1
area\:x^{2},x^{k}0,1
integral from-infinity to 0 of 1/(7-3x)
\int\:_{-\infty\:}^{0}\frac{1}{7-3x}dx
integral of (20)/((100x^2+1)^2)
\int\:\frac{20}{(100x^{2}+1)^{2}}dx
d/(dt)(sin(t)-tcos(t))
\frac{d}{dt}(\sin(t)-t\cos(t))
9x^2y^2+x^{3/2}(dy)/(dx)=y^2
9x^{2}y^{2}+x^{\frac{3}{2}}\frac{dy}{dx}=y^{2}
derivative of x/(x^{-1)+7}
derivative\:\frac{x}{x^{-1}+7}
integral of (w^3)/(w+1)
\int\:\frac{w^{3}}{w+1}dw
derivative of 19arctan(sqrt(x))
\frac{d}{dx}(19\arctan(\sqrt{x}))
derivative of ln((6x^2+5)/(x^{4/5)})
derivative\:\ln(\frac{6x^{2}+5}{x^{\frac{4}{5}}})
inverse oflaplace (s+4)/(s^2+2s-3)
inverselaplace\:\frac{s+4}{s^{2}+2s-3}
derivative of 5x^2+2x+6
derivative\:5x^{2}+2x+6
(\partial}{\partial x}(\frac{x^2+y^2)/2)
\frac{\partial\:}{\partial\:x}(\frac{x^{2}+y^{2}}{2})
y^{''}-2/x y^'-(10)/(x^2)y=0
y^{\prime\:\prime\:}-\frac{2}{x}y^{\prime\:}-\frac{10}{x^{2}}y=0
derivative of cos(4x)
derivative\:\cos(4x)
tangent of sqrt(3x+4),\at x=4
tangent\:\sqrt{3x+4},\at\:x=4
derivative of (5x/((x^2+2)^2))
\frac{d}{dx}(\frac{5x}{(x^{2}+2)^{2}})
f(x)=e^xx+2e^x
f(x)=e^{x}x+2e^{x}
integral of 1/(xsqrt(x^2-12))
\int\:\frac{1}{x\sqrt{x^{2}-12}}dx
derivative of cos(xsec^2(x))
\frac{d}{dx}(\cos(x)\sec^{2}(x))
integral of (2-x^2)/((x^3-6x+1)^5)
\int\:\frac{2-x^{2}}{(x^{3}-6x+1)^{5}}dx
integral of (3x-1)^4
\int\:(3x-1)^{4}dx
integral from 0 to 1 of (37)/(x^p)
\int\:_{0}^{1}\frac{37}{x^{p}}dx
derivative of e^{3x^2}*6x
\frac{d}{dx}(e^{3x^{2}}\cdot\:6x)
tangent of y=2x^3+3x^2-12x+6
tangent\:y=2x^{3}+3x^{2}-12x+6
(d^2y)/(dt^2)+3(dy)/(dt)+y=1
\frac{d^{2}y}{dt^{2}}+3\frac{dy}{dt}+y=1
limit as x approaches 2 of-10x+(10)
\lim\:_{x\to\:2}(-10x+(10))
derivative of f(x)=28x-0.01x^2
derivative\:f(x)=28x-0.01x^{2}
implicit 3x^2-5y^2=4
implicit\:3x^{2}-5y^{2}=4
derivative of 2x^3-12x^2-30x+9
derivative\:2x^{3}-12x^{2}-30x+9
integral from ln(9) to ln(25) of e^{x/2}
\int\:_{\ln(9)}^{\ln(25)}e^{\frac{x}{2}}dx
derivative of 144
\frac{d}{dx}(144)
area 5-x^2,sin(x),-2,2
area\:5-x^{2},\sin(x),-2,2
integral of (sqrt((16-9x^2)))/x
\int\:\frac{\sqrt{(16-9x^{2})}}{x}dx
integral from 1 to 3 of (2.25)/(x^3)
\int\:_{1}^{3}\frac{2.25}{x^{3}}dx
derivative of (-3x^6-x^5+3x^4)/(x^2)
derivative\:\frac{-3x^{6}-x^{5}+3x^{4}}{x^{2}}
sum from n=1 to infinity of (-1/2)^{n-1}
\sum\:_{n=1}^{\infty\:}(-\frac{1}{2})^{n-1}
derivative of-5/2 x^9
\frac{d}{dx}(-\frac{5}{2}x^{9})
integral from 0 to x of ln(x)
\int\:_{0}^{x}\ln(x)dx
(d^2)/(dx^2)(x^3+3x^2-2x+8)
\frac{d^{2}}{dx^{2}}(x^{3}+3x^{2}-2x+8)
(dy)/(dx)= x/y ,y(1)=2
\frac{dy}{dx}=\frac{x}{y},y(1)=2
derivative of (24)/(x^5)
derivative\:\frac{24}{x^{5}}
derivative of 10x+5/(x+1)
\frac{d}{dx}(10x+\frac{5}{x+1})
derivative of x/2-1
derivative\:\frac{x}{2}-1
(\partial)/(\partial x)(4-|x|-|y|)
\frac{\partial\:}{\partial\:x}(4-\left|x\right|-\left|y\right|)
derivative of 4xe^{-x}
derivative\:4xe^{-x}
integral of (x^3-3x+1)/(y+sqrt(y))
\int\:\frac{x^{3}-3x+1}{y+\sqrt{y}}dx
integral of (4e^{-0.8x})
\int\:(4e^{-0.8x})dx
(dx)/(dt)=e^{-kt}
\frac{dx}{dt}=e^{-kt}
area x^2,x^3
area\:x^{2},x^{3}
(\partial)/(\partial y)((x^2+y^2)^{3/2})
\frac{\partial\:}{\partial\:y}((x^{2}+y^{2})^{\frac{3}{2}})
(\partial)/(\partial x)(arctan(y/(x+a)))
\frac{\partial\:}{\partial\:x}(\arctan(\frac{y}{x+a}))
tangent of f(x)=8x^2-x^3,\at x=1
tangent\:f(x)=8x^{2}-x^{3},\at\:x=1
integral of-x^2+5x-4
\int\:-x^{2}+5x-4dx
x*(dy)/(dx)+y= 1/(y^2)
x\cdot\:\frac{dy}{dx}+y=\frac{1}{y^{2}}
integral from 0 to e of x^2ln(x)
\int\:_{0}^{e}x^{2}\ln(x)dx
derivative of ln(x+e^x)
\frac{d}{dx}(\ln(x+e^{x}))
y^'=((1-y)^5)/4
y^{\prime\:}=\frac{(1-y)^{5}}{4}
derivative of y=2xe^{-x}+2e^{x^5}
derivative\:y=2xe^{-x}+2e^{x^{5}}
integral of x^5-sec(x)+1/(2sqrt(x))
\int\:x^{5}-\sec(x)+\frac{1}{2\sqrt{x}}dx
integral of xIn^2x
\int\:xIn^{2}xdx
inverse oflaplace ((s+3))/((s+1)(s+2))
inverselaplace\:\frac{(s+3)}{(s+1)(s+2)}
integral of e^x-sin(x)
\int\:e^{x}-\sin(x)dx
taylor e^{0.42x}
taylor\:e^{0.42x}
integral of (-2x)/(1-x^2)
\int\:\frac{-2x}{1-x^{2}}dx
limit as x approaches-2 of (2x^2)/(x+2)
\lim\:_{x\to\:-2}(\frac{2x^{2}}{x+2})
integral of 3z
\int\:3zdz
integral of 7/(x-3)
\int\:\frac{7}{x-3}dx
y^'=(2xsec(y/x)+y)/x
y^{\prime\:}=\frac{2x\sec(\frac{y}{x})+y}{x}
derivative of (x-4/3)
\frac{d}{dx}(\frac{x-4}{3})
derivative of y=4x^3e^{-x}
derivative\:y=4x^{3}e^{-x}
integral of (-(x^3)/3-x^2+4/3)
\int\:(-\frac{x^{3}}{3}-x^{2}+\frac{4}{3})dx
taylor f(x)=e^x,x=0
taylor\:f(x)=e^{x},x=0
derivative of Ae^{3x}
\frac{d}{dx}(Ae^{3x})
tangent of f(x)=5x^3,-10,15,\at x=0
tangent\:f(x)=5x^{3},-10,15,\at\:x=0
(\partial)/(\partial x)(sqrt(1-x^2-y^2))
\frac{\partial\:}{\partial\:x}(\sqrt{1-x^{2}-y^{2}})
integral from-2 to 0 of y/2+sqrt(y+3)
\int\:_{-2}^{0}\frac{y}{2}+\sqrt{y+3}dy
derivative of (x^2+x^4)
\frac{d}{dx}((x^{2}+x)^{4})
derivative of y=4x^3-10x^2
derivative\:y=4x^{3}-10x^{2}
y^{''}+4y=te^t
y^{\prime\:\prime\:}+4y=te^{t}
limit as x approaches 2-of (4x+1)/(x-2)
\lim\:_{x\to\:2-}(\frac{4x+1}{x-2})
integral of x^2arccos(x)
\int\:x^{2}\arccos(x)dx
integral of 6sin^6(x)cos^3(x)
\int\:6\sin^{6}(x)\cos^{3}(x)dx
limit as x approaches 4 of 4/(x-4)
\lim\:_{x\to\:4}(\frac{4}{x-4})
integral of sin^2(x^2)
\int\:\sin^{2}(x^{2})dx
limit as x approaches-4-of (2-x)/(4-x)
\lim\:_{x\to\:-4-}(\frac{2-x}{4-x})
derivative of x+4/x
derivative\:x+\frac{4}{x}
integral of-3cos(4x)
\int\:-3\cos(4x)dx
integral from 1 to sqrt(2 of)xe^{8x^2}
\int\:_{1}^{\sqrt{2}}xe^{8x^{2}}dx
xy^'+2y=-e^x
xy^{\prime\:}+2y=-e^{x}
y^'=-0.5y
y^{\prime\:}=-0.5y
derivative of f(x)=x^2(-3x^2-2)
derivative\:f(x)=x^{2}(-3x^{2}-2)
integral of 1/(x(x+3))
\int\:\frac{1}{x(x+3)}dx
derivative of 8e^{-x}
derivative\:8e^{-x}
derivative of ((tan(x-1))/(sec(x)))
\frac{d}{dx}(\frac{(\tan(x)-1)}{\sec(x)})
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