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Popular Calculus Problems
(\partial)/(\partial x)((xy^2+x^3)^4)
\frac{\partial\:}{\partial\:x}((xy^{2}+x^{3})^{4})
limit as x approaches 2 of x^3-3x+7
\lim\:_{x\to\:2}(x^{3}-3x+7)
derivative of x/(sqrt(5-x^2))
\frac{d}{dx}(\frac{x}{\sqrt{5-x^{2}}})
(\partial)/(\partial x)(Ae^x)
\frac{\partial\:}{\partial\:x}(Ae^{x})
limit as x approaches 4-of 1/(x^3-64)
\lim\:_{x\to\:4-}(\frac{1}{x^{3}-64})
derivative of 3x^3y-2x^2y^2+3y
\frac{d}{dx}(3x^{3}y-2x^{2}y^{2}+3y)
y^{''}=(t/(t-1))y^'
y^{\prime\:\prime\:}=(\frac{t}{t-1})y^{\prime\:}
d/(dy)((x^2)/((x-y)^2))
\frac{d}{dy}(\frac{x^{2}}{(x-y)^{2}})
limit as x approaches infinity of 1/x+3
\lim\:_{x\to\:\infty\:}(\frac{1}{x}+3)
limit as x approaches 2+of (x+6)/(x+2)
\lim\:_{x\to\:2+}(\frac{x+6}{x+2})
limit as x approaches 4+of f(x)
\lim\:_{x\to\:4+}(f(x))
integral of ([ln(x)]^3)/x
\int\:\frac{[\ln(x)]^{3}}{x}dx
integral of (x^8-25)^9x^7
\int\:(x^{8}-25)^{9}x^{7}dx
(dy)/(dx)=ye^{-x}
\frac{dy}{dx}=ye^{-x}
integral of x^{7/2}
\int\:x^{\frac{7}{2}}dx
derivative of (3+cos^3(3x)^{-1/3})
\frac{d}{dx}((3+\cos^{3}(3x))^{-\frac{1}{3}})
limit as x approaches 3 of 2x^2+6
\lim\:_{x\to\:3}(2x^{2}+6)
integral of t/((t^2+1)^{9/2)}
\int\:\frac{t}{(t^{2}+1)^{\frac{9}{2}}}dt
y^'=0.5-t+2y
y^{\prime\:}=0.5-t+2y
limit as x approaches-7-of x/(x+7)
\lim\:_{x\to\:-7-}(\frac{x}{x+7})
inverse oflaplace (1/2)/s
inverselaplace\:\frac{\frac{1}{2}}{s}
derivative of x/(sqrt(1-x))
derivative\:\frac{x}{\sqrt{1-x}}
(y+x+2)dx+dy=0
(y+x+2)dx+dy=0
integral from 0 to pi of 3sin^2(2x)
\int\:_{0}^{π}3\sin^{2}(2x)dx
x(dy)/(dx)-y=2x^2y
x\frac{dy}{dx}-y=2x^{2}y
integral from 0 to 1 of x^4e^{7x}
\int\:_{0}^{1}x^{4}e^{7x}dx
limit as x approaches-5-of (-3)/(x^2-25)
\lim\:_{x\to\:-5-}(\frac{-3}{x^{2}-25})
integral of sin^3(t)cos^2(t)
\int\:\sin^{3}(t)\cos^{2}(t)dt
limit as x approaches-2 of 3+x^2
\lim\:_{x\to\:-2}(3+x^{2})
limit as x approaches 0 of ln(4sin(x))
\lim\:_{x\to\:0}(\ln(4\sin(x)))
integral of (1-t)e^{-st}
\int\:(1-t)e^{-st}dt
limit as x approaches-2 of x^2-2
\lim\:_{x\to\:-2}(x^{2}-2)
derivative of x^{1/5}+4
\frac{d}{dx}(x^{\frac{1}{5}}+4)
(dy)/(dx)+y= 1/(e^{2x)-5e^x+4}
\frac{dy}{dx}+y=\frac{1}{e^{2x}-5e^{x}+4}
taylor (3x-2)^{3/2}
taylor\:(3x-2)^{\frac{3}{2}}
derivative of e^{3x}+3e^{3x}x
\frac{d}{dx}(e^{3x}+3e^{3x}x)
limit as x approaches 0 of-6x+9
\lim\:_{x\to\:0}(-6x+9)
integral from 1 to 4 of (x^2-4x+2)
\int\:_{1}^{4}(x^{2}-4x+2)dx
derivative of y=12xsin(x)
derivative\:y=12x\sin(x)
9x^2(dy)/(dx)=(dy)/(dx)+2xe^{-y}
9x^{2}\frac{dy}{dx}=\frac{dy}{dx}+2xe^{-y}
laplacetransform t^4
laplacetransform\:t^{4}
(\partial)/(\partial x)(ln(x/y+y/x))
\frac{\partial\:}{\partial\:x}(\ln(\frac{x}{y}+\frac{y}{x}))
derivative of ln(sin(7x))
\frac{d}{dx}(\ln(\sin(7x)))
derivative of-x^2-2x+3
\frac{d}{dx}(-x^{2}-2x+3)
(dy)/(dx)=(y+1)^{-1}
\frac{dy}{dx}=(y+1)^{-1}
derivative of 4e^x+8/(\sqrt[3]{x})
\frac{d}{dx}(4e^{x}+\frac{8}{\sqrt[3]{x}})
integral from 1 to 8 of x/(x^2+6x+13)
\int\:_{1}^{8}\frac{x}{x^{2}+6x+13}dx
limit as x approaches 0 of ln^4(x)x
\lim\:_{x\to\:0}(\ln^{4}(x)x)
taylor 1/(1-x),2
taylor\:\frac{1}{1-x},2
derivative of x^2e^{kx}
\frac{d}{dx}(x^{2}e^{kx})
(\partial)/(\partial x)(ln(4)e^x)
\frac{\partial\:}{\partial\:x}(\ln(4)e^{x})
4x^2*y^'=y^'+9x*e^{-y}
4x^{2}\cdot\:y^{\prime\:}=y^{\prime\:}+9x\cdot\:e^{-y}
(\partial)/(\partial x)(x^{13})
\frac{\partial\:}{\partial\:x}(x^{13})
tangent of x^2-5x+5
tangent\:x^{2}-5x+5
(\partial)/(\partial x)(ycos(x^2+y^2))
\frac{\partial\:}{\partial\:x}(y\cos(x^{2}+y^{2}))
derivative of (-1/(1-x))
\frac{d}{dx}(\frac{-1}{1-x})
derivative of x/(1+sqrt(1-x^2))
\frac{d}{dx}(\frac{x}{1+\sqrt{1-x^{2}}})
integral of (1100x)/(x^2+80)
\int\:\frac{1100x}{x^{2}+80}dx
tangent of f(x)=sqrt(x),(64,8)
tangent\:f(x)=\sqrt{x},(64,8)
(\partial)/(\partial x)(cos(x-y))
\frac{\partial\:}{\partial\:x}(\cos(x-y))
derivative of 21xe^{-2x}
\frac{d}{dx}(21xe^{-2x})
derivative of f(x)=sqrt(2x+4)
derivative\:f(x)=\sqrt{2x+4}
integral of 2x(x^2+9)^7
\int\:2x(x^{2}+9)^{7}dx
integral of 5/(sqrt(9x^2-16))
\int\:\frac{5}{\sqrt{9x^{2}-16}}dx
derivative of f(x)=6x^3+7
derivative\:f(x)=6x^{3}+7
integral of 6e^{6x}sin(e^{6x})
\int\:6e^{6x}\sin(e^{6x})dx
integral of 1/(4y^2)
\int\:\frac{1}{4y^{2}}dy
tangent of (sqrt(x)+1)/(sqrt(x)+3)
tangent\:\frac{\sqrt{x}+1}{\sqrt{x}+3}
derivative of y=(2x^2+3)(4x-3)
derivative\:y=(2x^{2}+3)(4x-3)
derivative of (sqrt(x))/(6+x)
derivative\:\frac{\sqrt{x}}{6+x}
tangent of 9x-2x^2
tangent\:9x-2x^{2}
derivative of 2tan(x+2tan^3(x))
\frac{d}{dx}(2\tan(x)+2\tan^{3}(x))
inverse oflaplace (4s-1)/(s^2(s+1)^3)
inverselaplace\:\frac{4s-1}{s^{2}(s+1)^{3}}
limit as x approaches+5 of (x+1)/(x-5)
\lim\:_{x\to\:+5}(\frac{x+1}{x-5})
derivative of (sqrt(x)^{3x})
\frac{d}{dx}((\sqrt{x})^{3x})
integral of 1/((4x+1)^3)
\int\:\frac{1}{(4x+1)^{3}}dx
y*(dy)/(dx)-x=5y^2
y\cdot\:\frac{dy}{dx}-x=5y^{2}
derivative of ln((x^2-1^3))
\frac{d}{dx}(\ln((x^{2}-1)^{3}))
(\partial)/(\partial x)(-xsin(y))
\frac{\partial\:}{\partial\:x}(-x\sin(y))
inverse oflaplace 1/(s(s^2+0.2s+1))
inverselaplace\:\frac{1}{s(s^{2}+0.2s+1)}
derivative of (25-x^2^{1/2})
\frac{d}{dx}((25-x^{2})^{\frac{1}{2}})
f(x)= 1/(2x^6)
f(x)=\frac{1}{2x^{6}}
sum from n=1 to infinity of cos^2(n)
\sum\:_{n=1}^{\infty\:}\cos^{2}(n)
derivative of sqrt(y)-xln(y+x)
\frac{d}{dx}(\sqrt{y}-x\ln(y+x))
integral of 3/(x^2+2)-x^2
\int\:\frac{3}{x^{2}+2}-x^{2}dx
(\partial)/(\partial x)(3x-sqrt(2y^2+z^2))
\frac{\partial\:}{\partial\:x}(3x-\sqrt{2y^{2}+z^{2}})
derivative of 2-(x^2/2)
\frac{d}{dx}(2-\frac{x^{2}}{2})
integral of (e^x)/(sqrt(e^x+1+1))
\int\:\frac{e^{x}}{\sqrt{e^{x}+1+1}}dx
(\partial)/(\partial y)(x^4-2y^3)
\frac{\partial\:}{\partial\:y}(x^{4}-2y^{3})
derivative of x-2arctan(x)
\frac{d}{dx}(x-2\arctan(x))
derivative of sqrt(4x^2+1)
\frac{d}{dx}(\sqrt{4x^{2}+1})
derivative of sin(4x+1)
\frac{d}{dx}(\sin(4x+1))
normal of cos(t)+tsin(t),\at t=0
normal\:\cos(t)+t\sin(t),\at\:t=0
(dy)/(dx)=(x^2+y^2-xy)/(x^2)
\frac{dy}{dx}=\frac{x^{2}+y^{2}-xy}{x^{2}}
integral of ln(ax)
\int\:\ln(ax)dx
integral of (18)/((81x^2+1)^2)
\int\:\frac{18}{(81x^{2}+1)^{2}}dx
derivative of h(t)=sqrt(t)(1-t^2)
derivative\:h(t)=\sqrt{t}(1-t^{2})
laplacetransform x*e^{(-4x)}
laplacetransform\:x\cdot\:e^{(-4x)}
slope ofintercept (-7.2)(9.6)
slopeintercept\:(-7.2)(9.6)
integral from 1 to 2 of 4/(x^3+4x)
\int\:_{1}^{2}\frac{4}{x^{3}+4x}dx
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