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Popular Calculus Problems

(\partial)/(\partial x)(ln(2+x^2+y^2))	\frac{\partial\:}{\partial\:x}(\ln(2+x^{2}+y^{2}))
(\partial)/(\partial y)(ln(y-3x))	\frac{\partial\:}{\partial\:y}(\ln(y-3x))
integral of-24te^{-3t}	\int\:-24te^{-3t}dt
(d^2)/(dx^2)(\sqrt[4]{x})	\frac{d^{2}}{dx^{2}}(\sqrt[4]{x})
integral of (x^2-x+2)/(x^4+4x^2+3)	\int\:\frac{x^{2}-x+2}{x^{4}+4x^{2}+3}dx
integral of in^2x	\int\:in^{2}xdx
tangent of y=sqrt(x^2-x+10),\at x=3	tangent\:y=\sqrt{x^{2}-x+10},\at\:x=3
derivative of cos(xln(cos(x))+xsin(x))	\frac{d}{dx}(\cos(x)\ln(\cos(x))+x\sin(x))
derivative of (ln(4x)/(4x))	\frac{d}{dx}(\frac{\ln(4x)}{4x})
area y=4-x^2,y=x+2	area\:y=4-x^{2},y=x+2
(\partial)/(\partial y)(1/(sqrt(xy)))	\frac{\partial\:}{\partial\:y}(\frac{1}{\sqrt{xy}})
integral of x/(sqrt(1+x^2))	\int\:\frac{x}{\sqrt{1+x^{2}}}dx
integral of 3/(x^2)-2/(x^3)	\int\:\frac{3}{x^{2}}-\frac{2}{x^{3}}dx
tangent of x^3	tangent\:x^{3}
derivative of ln(xe^x)	\frac{d}{dx}(\ln(x)e^{x})
derivative of (5x-4^2)	\frac{d}{dx}((5x-4)^{2})
derivative of f(x)=ln(1/x)	derivative\:f(x)=\ln(\frac{1}{x})
(dy)/(dt)=y-2t	\frac{dy}{dt}=y-2t
integral of x/(sqrt(x+8))	\int\:\frac{x}{\sqrt{x+8}}dx
limit as x approaches 2 of 1/(2-5x)	\lim\:_{x\to\:2}(\frac{1}{2-5x})
derivative of \sqrt[3]{(x+1/(x-1)})	\frac{d}{dx}(\sqrt[3]{\frac{x+1}{x-1}})
d/(dt)(e^{4t})	\frac{d}{dt}(e^{4t})
0.125y^{''}+4y^'+28y=0	0.125y^{\prime\:\prime\:}+4y^{\prime\:}+28y=0
derivative of 6x^3cos(x)	\frac{d}{dx}(6x^{3}\cos(x))
4xy^'+2y=10x^6	4xy^{\prime\:}+2y=10x^{6}
integral of (x^3+x^2)/(x^5)	\int\:\frac{x^{3}+x^{2}}{x^{5}}dx
derivative of (x^4-3x)^2	derivative\:(x^{4}-3x)^{2}
derivative of 13x	derivative\:13x
integral of (2x)/(e^{8x)}	\int\:\frac{2x}{e^{8x}}dx
slope of y=-3x^2-x	slope\:y=-3x^{2}-x
(d^2)/(dx^2)(1/(ln(x)))	\frac{d^{2}}{dx^{2}}(\frac{1}{\ln(x)})
d/(dy)(y^2)	\frac{d}{dy}(y^{2})
limit as x approaches infinity of 1/((2+x^2)^{1/x)}	\lim\:_{x\to\:\infty\:}(\frac{1}{(2+x^{2})^{\frac{1}{x}}})
f(x)=arctan(2x)	f(x)=\arctan(2x)
derivative of arccos(4x^3)	\frac{d}{dx}(\arccos(4x^{3}))
(d^2)/(dx^2)(x^2sin(sqrt(x)))	\frac{d^{2}}{dx^{2}}(x^{2}\sin(\sqrt{x}))
integral of 1/((x+y)^2)	\int\:\frac{1}{(x+y)^{2}}dx
sum from n=1 to infinity of (-1)^{n+1}	\sum\:_{n=1}^{\infty\:}(-1)^{n+1}
derivative of (t^4+t^5-1)/(t^6)	derivative\:\frac{t^{4}+t^{5}-1}{t^{6}}
integral of (4x+1)^6	\int\:(4x+1)^{6}dx
y^3-(18x+8)+3xy^2y^'=0	y^{3}-(18x+8)+3xy^{2}y^{\prime\:}=0
integral of 1/(y^3sqrt(y^2-9))	\int\:\frac{1}{y^{3}\sqrt{y^{2}-9}}dy
d/(dθ)(sin(4θ))	\frac{d}{dθ}(\sin(4θ))
integral of x(x^2-2)	\int\:x(x^{2}-2)dx
(f(t)\circ g(t))\prime	(f(t)\circ\:g(t))\prime
integral from 2 to 3 of (x+1)/(x^2-x)	\int\:_{2}^{3}\frac{x+1}{x^{2}-x}dx
limit as x approaches 1 of (3x+2)/(4x-5)	\lim\:_{x\to\:1}(\frac{3x+2}{4x-5})
(\partial)/(\partial x)(10-(3x^2+3y^2))	\frac{\partial\:}{\partial\:x}(10-(3x^{2}+3y^{2}))
derivative of 3x^2-4x+1	\frac{d}{dx}(3x^{2}-4x+1)
integral of 3/(e^{t/2)}	\int\:\frac{3}{e^{\frac{t}{2}}}dt
integral of e^{x^6}	\int\:e^{x^{6}}dx
integral of 6x^2sin(x^3)	\int\:6x^{2}\sin(x^{3})dx
integral of (12)/(x^2sqrt(x^2+16))	\int\:\frac{12}{x^{2}\sqrt{x^{2}+16}}dx
integral of 1/(9x^4)	\int\:\frac{1}{9x^{4}}dx
limit as x approaches 2-of 3	\lim\:_{x\to\:2-}(3)
integral of (z^2)/(1+z^3)	\int\:\frac{z^{2}}{1+z^{3}}dz
integral of x^2sqrt(x^2+4)	\int\:x^{2}\sqrt{x^{2}+4}dx
integral of (x^4)/(sqrt(1-x^{10))}	\int\:\frac{x^{4}}{\sqrt{1-x^{10}}}dx
limit as x approaches infinity of ex	\lim\:_{x\to\:\infty\:}(ex)
(\partial)/(\partial y)(x^2*y^2)	\frac{\partial\:}{\partial\:y}(x^{2}\cdot\:y^{2})
y^{''}-7y^'-18y=0	y^{\prime\:\prime\:}-7y^{\prime\:}-18y=0
(\partial)/(\partial y)(y^2cos(x))	\frac{\partial\:}{\partial\:y}(y^{2}\cos(x))
(\partial)/(\partial x)(6tan(xy))	\frac{\partial\:}{\partial\:x}(6\tan(xy))
sum from n=1 to infinity of sin(1/(2^n))	\sum\:_{n=1}^{\infty\:}\sin(\frac{1}{2^{n}})
laplacetransform 2*cos(5t)	laplacetransform\:2\cdot\:\cos(5t)
(\partial)/(\partial y)(e^{5x}sin(5y))	\frac{\partial\:}{\partial\:y}(e^{5x}\sin(5y))
integral of-4tan(x)	\int\:-4\tan(x)dx
integral of 35sec^{-2}(xta)n^3x	\int\:35\sec^{-2}(xta)n^{3}xdx
limit as x approaches 1 of (1-x)/(x^2-1)	\lim\:_{x\to\:1}(\frac{1-x}{x^{2}-1})
(-1/x)^'	(-\frac{1}{x})^{\prime\:}
y^{''}+2y^'=2x+9-e^{-2x}	y^{\prime\:\prime\:}+2y^{\prime\:}=2x+9-e^{-2x}
inverse oflaplace (6s+4)/(s^2+4s+20)	inverselaplace\:\frac{6s+4}{s^{2}+4s+20}
y^'+5y=e^{-3x}	y^{\prime\:}+5y=e^{-3x}
integral of sin^6(x)cos^5(x)	\int\:\sin^{6}(x)\cos^{5}(x)dx
integral of e^x+x^e+e+x	\int\:e^{x}+x^{e}+e+xdx
derivative of f(x)=sin(4x)-cos(3x)	derivative\:f(x)=\sin(4x)-\cos(3x)
(dy)/(dx)=x^3+x^2-5x+11	\frac{dy}{dx}=x^{3}+x^{2}-5x+11
integral from 1 to 1000 of (21)/(x^3)	\int\:_{1}^{1000}\frac{21}{x^{3}}dx
y^{''}-2y^'+5y=e^tcos(2t)	y^{\prime\:\prime\:}-2y^{\prime\:}+5y=e^{t}\cos(2t)
laplacetransform (sin(6t)-7)^2	laplacetransform\:(\sin(6t)-7)^{2}
integral of (cos^2(θ))/(sin(θ))	\int\:\frac{\cos^{2}(θ)}{\sin(θ)}dθ
derivative of f(x)=2^{90}	derivative\:f(x)=2^{90}
limit as x approaches 5+of x^3-cx	\lim\:_{x\to\:5+}(x^{3}-cx)
2y^{''}-4y^'+3y=9t^2+10	2y^{\prime\:\prime\:}-4y^{\prime\:}+3y=9t^{2}+10
derivative of 3^{3x+1}	\frac{d}{dx}(3^{3x+1})
integral of x^6y^2	\int\:x^{6}y^{2}
derivative of x^2+7x-4	derivative\:x^{2}+7x-4
limit as x approaches-infinity of 6x^4	\lim\:_{x\to\:-\infty\:}(6x^{4})
limit as x approaches infinity of-5/4	\lim\:_{x\to\:\infty\:}(-\frac{5}{4})
derivative of (\sqrt[3]{t})/(t-6)	derivative\:\frac{\sqrt[3]{t}}{t-6}
taylor (1-x)^{1/4}	taylor\:(1-x)^{\frac{1}{4}}
sum from n=1 to infinity of (1/8)^{n-1}	\sum\:_{n=1}^{\infty\:}(\frac{1}{8})^{n-1}
derivative of (ce^x/(1+ce^x))	\frac{d}{dx}(\frac{ce^{x}}{1+ce^{x}})
tangent of y=x^2+7,(3,16)	tangent\:y=x^{2}+7,(3,16)
derivative of x^3+2x+1	\frac{d}{dx}(x^{3}+2x+1)
integral of sin(3x+2)	\int\:\sin(3x+2)dx
tangent of y=4xcos(x),\at x=pi	tangent\:y=4x\cos(x),\at\:x=π
integral of 1/(csc^2(x))	\int\:\frac{1}{\csc^{2}(x)}dx
slope ofintercept (2.1)(8.7)	slopeintercept\:(2.1)(8.7)
(\partial)/(\partial x)(sin(3x-2y))	\frac{\partial\:}{\partial\:x}(\sin(3x-2y))

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