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Popular Calculus Problems

limit as x approaches 0 of 5x+4	\lim\:_{x\to\:0}(5x+4)
(\partial)/(\partial x)(ln(5x^2+4y^2+7))	\frac{\partial\:}{\partial\:x}(\ln(5x^{2}+4y^{2}+7))
(\partial)/(\partial x)(sqrt(2x^2+2y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{2x^{2}+2y^{2}})
integral of cos^5(x)sin(x)	\int\:\cos^{5}(x)\sin(x)dx
laplacetransform z	laplacetransform\:z
integral of (12)/(3x+xsqrt(x))	\int\:\frac{12}{3x+x\sqrt{x}}dx
(3+3x^2)(dy)/(dx)+2xy=2xy^4	(3+3x^{2})\frac{dy}{dx}+2xy=2xy^{4}
derivative of f(x)=ln(2)	derivative\:f(x)=\ln(2)
integral of 3e^4	\int\:3e^{4}dx
derivative of 2000(1+r/(12))^{60}	derivative\:2000(1+\frac{r}{12})^{60}
tangent of f(x)= 1/x ,(a, 1/a)	tangent\:f(x)=\frac{1}{x},(a,\frac{1}{a})
derivative of 3sqrt(x)(x^3-7sqrt(x)+4)	derivative\:3\sqrt{x}(x^{3}-7\sqrt{x}+4)
integral from 1 to 4 of 1/(x-2)	\int\:_{1}^{4}\frac{1}{x-2}dx
derivative of f(x)=10x^2tan(x)	\frac{d}{dx}f(x)=10x^{2}\tan(x)
integral of x/(3-x^2)	\int\:\frac{x}{3-x^{2}}dx
y^'+(2sin(x)cos(x))y=e^{-sin^2(x)}	y^{\prime\:}+(2\sin(x)\cos(x))y=e^{-\sin^{2}(x)}
limit as n approaches infinity of \sqrt[2n]{2^n+n^2}	\lim\:_{n\to\:\infty\:}(\sqrt[2n]{2^{n}+n^{2}})
integral of (x^3)/((x^2+2)^2)	\int\:\frac{x^{3}}{(x^{2}+2)^{2}}dx
integral of 2x(1-x^{-3})	\int\:2x(1-x^{-3})dx
area y= 4/x ,y=16x,y= 1/4 x	area\:y=\frac{4}{x},y=16x,y=\frac{1}{4}x
integral of 1/(2^x+1)	\int\:\frac{1}{2^{x}+1}dx
expand (x+19)e^{3x}+4	expand\:(x+19)e^{3x}+4
limit as m approaches-1 of m^3-1	\lim\:_{m\to\:-1}(m^{3}-1)
area f(x)=x^2-x^3,[-2,0]	area\:f(x)=x^{2}-x^{3},[-2,0]
derivative of sqrt(7x-3)	\frac{d}{dx}(\sqrt{7x-3})
integral of 9xe^{2x}	\int\:9xe^{2x}dx
derivative of h/x	\frac{d}{dx}(\frac{h}{x})
inverse oflaplace 1/(((s^2+3s+2)(s+1)))	inverselaplace\:\frac{1}{((s^{2}+3s+2)(s+1))}
derivative of 6e^{x^2}x	\frac{d}{dx}(6e^{x^{2}}x)
y^'=y^2sin(x)	y^{\prime\:}=y^{2}\sin(x)
integral from 1 to 4 of 1/(x+2sqrt(x))	\int\:_{1}^{4}\frac{1}{x+2\sqrt{x}}dx
derivative of (e^{-x}/2)	\frac{d}{dx}(\frac{e^{-x}}{2})
d/(dy)(x^2+y^2-5)	\frac{d}{dy}(x^{2}+y^{2}-5)
derivative of g(w)= 9/(8w^5)+9sqrt(w)	derivative\:g(w)=\frac{9}{8w^{5}}+9\sqrt{w}
integral from 0 to 1 of 2/5 x^2(x+2)	\int\:_{0}^{1}\frac{2}{5}x^{2}(x+2)dx
integral of 1/(e^{-4x)}	\int\:\frac{1}{e^{-4x}}dx
limit as x approaches 2 of (x-5)/(x-2)	\lim\:_{x\to\:2}(\frac{x-5}{x-2})
limit as x approaches 0 of (z^x-1)/x	\lim\:_{x\to\:0}(\frac{z^{x}-1}{x})
limit as x approaches 0 of x+4	\lim\:_{x\to\:0}(x+4)
derivative of (x^{-2}+x^{-3}(x^5-9x^2))	\frac{d}{dx}((x^{-2}+x^{-3})(x^{5}-9x^{2}))
derivative of arctan(1-3x^2)	\frac{d}{dx}(\arctan(1-3x^{2}))
integral of 3sin^3(3x)cos^3(3x)	\int\:3\sin^{3}(3x)\cos^{3}(3x)dx
maclaurin sin(5x)*sin(4x)	maclaurin\:\sin(5x)\cdot\:\sin(4x)
integral of (x^2+x)^{12}(2x+1)	\int\:(x^{2}+x)^{12}(2x+1)dx
integral of 1/2 sin(2x)-cos(x)+C	\int\:\frac{1}{2}\sin(2x)-\cos(x)+Cdx
limit as z approaches-2 of z^3+8	\lim\:_{z\to\:-2}(z^{3}+8)
derivative of 1000sqrt(x^2-0.1x)	\frac{d}{dx}(1000\sqrt{x^{2}-0.1x})
tangent of f(x)= 8/(sqrt(x)),\at x=25	tangent\:f(x)=\frac{8}{\sqrt{x}},\at\:x=25
limit as x approaches 0 of 1-sqrt(1+x)	\lim\:_{x\to\:0}(1-\sqrt{1+x})
integral from 1 to 3 of 5/(x^2+4x+4)	\int\:_{1}^{3}\frac{5}{x^{2}+4x+4}dx
derivative of 3x^2e^x+e^x(x^3+8)	\frac{d}{dx}(3x^{2}e^{x}+e^{x}(x^{3}+8))
d/(dy)((y^3)/3)	\frac{d}{dy}(\frac{y^{3}}{3})
limit as x approaches 1-of \|x\|	\lim\:_{x\to\:1-}(\left\|x\right\|)
y^'=0.0015y(2700-y)	y^{\prime\:}=0.0015y(2700-y)
derivative of (x/(1+x)^5)	\frac{d}{dx}((\frac{x}{1+x})^{5})
area f(x)=4-x,-2,6	area\:f(x)=4-x,-2,6
integral from 5 to 9 of 2/(x^3)	\int\:_{5}^{9}\frac{2}{x^{3}}dx
integral of e^{3x}sqrt(1+2e^{3x)}	\int\:e^{3x}\sqrt{1+2e^{3x}}dx
(\partial)/(\partial x)(1-2x^2-2y)	\frac{\partial\:}{\partial\:x}(1-2x^{2}-2y)
(1-t^2)y^{''}-2ty^'+2y=0	(1-t^{2})y^{\prime\:\prime\:}-2ty^{\prime\:}+2y=0
derivative of (x+ae^{2x})	\frac{d}{dx}((x+a)e^{2x})
integral from 0 to 4 of xe^{sqrt(x)}	\int\:_{0}^{4}xe^{\sqrt{x}}dx
d/(dt)((t^3)/6+(t^2)/4+1/2 t)	\frac{d}{dt}(\frac{t^{3}}{6}+\frac{t^{2}}{4}+\frac{1}{2}t)
integral of (sec(x)tan(x))/(sec(x)-7)	\int\:\frac{\sec(x)\tan(x)}{\sec(x)-7}dx
d/(dθ)(-2sin(θ))	\frac{d}{dθ}(-2\sin(θ))
laplacetransform e^tsin(t)	laplacetransform\:e^{t}\sin(t)
(\partial)/(\partial x)(4x^{-1/8})	\frac{\partial\:}{\partial\:x}(4x^{-\frac{1}{8}})
integral of 3x^2e^{-3x}	\int\:3x^{2}e^{-3x}dx
derivative of 6x^2(4x^5-3x+2)	\frac{d}{dx}(6x^{2}(4x^{5}-3x+2))
limit as x approaches 0+of x^3(ln(x))^2	\lim\:_{x\to\:0+}(x^{3}(\ln(x))^{2})
derivative of y=x(1+x^2)^{10}	derivative\:y=x(1+x^{2})^{10}
limit as x approaches 0-of x/x	\lim\:_{x\to\:0-}(\frac{x}{x})
integral of (3y-4y^3)^3	\int\:(3y-4y^{3})^{3}dy
tangent of y=ln(x/2),\at x=4	tangent\:y=\ln(\frac{x}{2}),\at\:x=4
integral of (t^2)/(t+1)	\int\:\frac{t^{2}}{t+1}dt
derivative of lx	\frac{d}{dx}(lx)
derivative of arccos(-3x)	\frac{d}{dx}(\arccos(-3x))
y^{''}+16=0	y^{\prime\:\prime\:}+16=0
derivative of ((e^{-x^2})/(x^3))	\frac{d}{dx}(\frac{(e^{-x^{2}})}{x^{3}})
integral of x/4	\int\:\frac{x}{4}dx
limit as x approaches 8 of (\|x-8\|)/(x-8)	\lim\:_{x\to\:8}(\frac{\left\|x-8\right\|}{x-8})
limit as x approaches 6+of (2+x)/(6-x)	\lim\:_{x\to\:6+}(\frac{2+x}{6-x})
derivative of f(x)=3x^{2x+3}+e^2	derivative\:f(x)=3x^{2x+3}+e^{2}
limit as x approaches 0 of e^xsin(x)	\lim\:_{x\to\:0}(e^{x}\sin(x))
integral of 2/(x(x^2+1))	\int\:\frac{2}{x(x^{2}+1)}dx
integral of yx^2	\int\:yx^{2}dy
(\partial)/(\partial x)(3x+2y)	\frac{\partial\:}{\partial\:x}(3x+2y)
integral of (x^2+x-5)/(2x^3+3x^2-2x)	\int\:\frac{x^{2}+x-5}{2x^{3}+3x^{2}-2x}dx
integral of cos(ln(2x))	\int\:\cos(\ln(2x))dx
integral of x/(x^2-2x+5)	\int\:\frac{x}{x^{2}-2x+5}dx
derivative of arccot(x/4)	\frac{d}{dx}(\arccot(\frac{x}{4}))
integral of (y^3)/((2+3y^4)^3)	\int\:\frac{y^{3}}{(2+3y^{4})^{3}}dy
derivative of sin(tan(3x))	derivative\:\sin(\tan(3x))
derivative of log_{4}(e^{2x}cos(3x))	derivative\:\log_{4}(e^{2x}\cos(3x))
tangent of (30x^2)/((-5x^3+4)^3)	tangent\:\frac{30x^{2}}{(-5x^{3}+4)^{3}}
slope of x^2+xy-y^2=-11,(1,4)	slope\:x^{2}+xy-y^{2}=-11,(1,4)
t^2y^{''}+3ty^'-3y= 1/t	t^{2}y^{\prime\:\prime\:}+3ty^{\prime\:}-3y=\frac{1}{t}
derivative of 2/(x-3)	derivative\:\frac{2}{x-3}
integral of cos(x)(7+8sin^2(x))	\int\:\cos(x)(7+8\sin^{2}(x))dx
6y^{''}+40y^'+54y=0	6y^{\prime\:\prime\:}+40y^{\prime\:}+54y=0

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