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Popular Calculus Problems

(\partial)/(\partial x)(y*log_{e}(x))	\frac{\partial\:}{\partial\:x}(y\cdot\:\log_{e}(x))
derivative of ln(7x^2+9y^2)	\frac{d}{dx}(\ln(7x^{2}+9y^{2}))
limit as x approaches 1 of 1/(x+3)	\lim\:_{x\to\:1}(\frac{1}{x+3})
integral of (2v)/(1-v^2)	\int\:\frac{2v}{1-v^{2}}dv
integral from 0 to 100 of e^{-0.01x}	\int\:_{0}^{100}e^{-0.01x}dx
(xy^')/(e^x+1)=2	\frac{xy^{\prime\:}}{e^{x}+1}=2
derivative of f(x)=3x^2-24x+45	derivative\:f(x)=3x^{2}-24x+45
implicit x^2-6xy+y^2=6	implicit\:x^{2}-6xy+y^{2}=6
f(x)=2cos(2x)	f(x)=2\cos(2x)
laplacetransform 1+5e^{3t}	laplacetransform\:1+5e^{3t}
derivative of ln(x^5+8ln(x))	\frac{d}{dx}(\ln(x^{5})+8\ln(x))
tangent of f(x)=x^2+6x-16,\at x=2	tangent\:f(x)=x^{2}+6x-16,\at\:x=2
limit as x approaches 0 of (h(x))/(g(x))	\lim\:_{x\to\:0}(\frac{h(x)}{g(x)})
derivative of (8x-x^2)^3	derivative\:(8x-x^{2})^{3}
laplacetransform e^tcos(t)+je^t*sin(t)	laplacetransform\:e^{t}\cdot\:\cos(t)+j\cdot\:e^{t}\cdot\:\sin(t)
e^xdx=2ydy	e^{x}dx=2ydy
d/(dy)(x+3y^{1/3})	\frac{d}{dy}(x+3y^{\frac{1}{3}})
(\partial)/(\partial y)(2xy^4)	\frac{\partial\:}{\partial\:y}(2xy^{4})
derivative of f(x)=(x)^{(3)}e^{(3x)}	derivative\:f(x)=(x)^{(3)}e^{(3x)}
limit as x approaches 2+of e^{(1+x)/(2-x)}	\lim\:_{x\to\:2+}(e^{\frac{1+x}{2-x}})
y^'+6y=2t+3,y(0)=1	y^{\prime\:}+6y=2t+3,y(0)=1
integral of (5x+1)/(x^2-1)	\int\:\frac{5x+1}{x^{2}-1}dx
limit as x approaches 5-of x/(x-5)	\lim\:_{x\to\:5-}(\frac{x}{x-5})
y^{''}-2y^'=6	y^{\prime\:\prime\:}-2y^{\prime\:}=6
limit as h approaches 2 of \|h-2\|	\lim\:_{h\to\:2}(\left\|h-2\right\|)
limit as x approaches 0+of (tan(x))^x	\lim\:_{x\to\:0+}((\tan(x))^{x})
derivative of 2t^4	derivative\:2t^{4}
integral of 1/(xsqrt(x^2+4))	\int\:\frac{1}{x\sqrt{x^{2}+4}}dx
derivative of f(x)= x/(9-sqrt(x))	derivative\:f(x)=\frac{x}{9-\sqrt{x}}
integral of 9xsqrt(1-x^4)	\int\:9x\sqrt{1-x^{4}}dx
(\partial)/(\partial x)(ln(x^2+y^2+8))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}+y^{2}+8))
derivative of 3/(x^6)	\frac{d}{dx}(\frac{3}{x^{6}})
2cos(x)dy=(ysin(x)-y^3)dx	2\cos(x)dy=(y\sin(x)-y^{3})dx
integral of 3t^2+2t	\int\:3t^{2}+2tdt
limit as x approaches 8 of 3/(x-8)	\lim\:_{x\to\:8}(\frac{3}{x-8})
integral of (ln(x))/((1+ln(x))^2)	\int\:\frac{\ln(x)}{(1+\ln(x))^{2}}dx
limit as x approaches 0-of (\|2x\|)/x	\lim\:_{x\to\:0-}(\frac{\left\|2x\right\|}{x})
(\partial)/(\partial y)(x/(x^2+y^2+1))	\frac{\partial\:}{\partial\:y}(\frac{x}{x^{2}+y^{2}+1})
limit as x approaches 7 of x^2-49	\lim\:_{x\to\:7}(x^{2}-49)
integral of (200)/(1+x)	\int\:\frac{200}{1+x}dx
inverse oflaplace (1+5s^2)/(s^2(s-9))	inverselaplace\:\frac{1+5s^{2}}{s^{2}(s-9)}
inverse oflaplace 3/(2s)	inverselaplace\:\frac{3}{2s}
integral of x^2-x+1	\int\:x^{2}-x+1dx
integral of 8e^{5x}	\int\:8e^{5x}dx
area-x^2+6x,x^2-4x	area\:-x^{2}+6x,x^{2}-4x
derivative of f(x)=27sin(3x)	derivative\:f(x)=27\sin(3x)
(\partial)/(\partial y)(y^{y/x}sin(y/x))	\frac{\partial\:}{\partial\:y}(y^{\frac{y}{x}}\sin(\frac{y}{x}))
integral of e^{2x}(2xy+2x^2y+2/3 y^3)	\int\:e^{2x}(2xy+2x^{2}y+\frac{2}{3}y^{3})dx
limit as x approaches infinity of 10+15e^{-2x}	\lim\:_{x\to\:\infty\:}(10+15e^{-2x})
(2x+ye^{y/x})dx-xe^{y/x}dy=0,y(1)=4	(2x+ye^{\frac{y}{x}})dx-xe^{\frac{y}{x}}dy=0,y(1)=4
limit as x approaches infinity of 1/(5^{1/x)}	\lim\:_{x\to\:\infty\:}(\frac{1}{5^{\frac{1}{x}}})
join 1/2 sin^2(x)	join\:\frac{1}{2}\sin^{2}(x)
tangent of y=x^2-5x+5	tangent\:y=x^{2}-5x+5
derivative of x^2+c/(x^2)	\frac{d}{dx}(x^{2}+\frac{c}{x^{2}})
(\partial)/(\partial x)(x^2+y^2-4)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}-4)
integral of (x^2)/(sqrt(361-x^2))	\int\:\frac{x^{2}}{\sqrt{361-x^{2}}}dx
y^{''}-6y^'+9y=t^{-9}e^{3t}	y^{\prime\:\prime\:}-6y^{\prime\:}+9y=t^{-9}e^{3t}
integral of (4x+2)/(x^2+x+5)	\int\:\frac{4x+2}{x^{2}+x+5}dx
tangent of 5x-x^2(1.4)	tangent\:5x-x^{2}(1.4)
(\partial)/(\partial x)(x^2-4y^2)	\frac{\partial\:}{\partial\:x}(x^{2}-4y^{2})
limit as x approaches+1 of x^3-1	\lim\:_{x\to\:+1}(x^{3}-1)
(d^2y)/(dx^2)-by=0	\frac{d^{2}y}{dx^{2}}-by=0
100x-(dy)/(dx)=xy	100x-\frac{dy}{dx}=xy
derivative of cot(x)	derivative\:\cot(x)
tangent of f(x)=(7x)/(2^x),\at x=2	tangent\:f(x)=\frac{7x}{2^{x}},\at\:x=2
derivative of (x-1ln(x))	\frac{d}{dx}((x-1)\ln(x))
limit as x approaches 2 of x^3-4	\lim\:_{x\to\:2}(x^{3}-4)
asin(((pi*x))/b)	a\sin(\frac{(π\cdot\:x)}{b})
derivative of (64/(x^2+16))	\frac{d}{dx}(\frac{64}{x^{2}+16})
integral of (sqrt(x^2-a^2))/(x^2)	\int\:\frac{\sqrt{x^{2}-a^{2}}}{x^{2}}dx
integral of 1/2 cos(x)	\int\:\frac{1}{2}\cos(x)dx
limit as y approaches 2 of (y^3-6y^2+12y-8)/(y^4-4y^3+16y-16)	\lim\:_{y\to\:2}(\frac{y^{3}-6y^{2}+12y-8}{y^{4}-4y^{3}+16y-16})
(dy)/(dx)=x-xy	\frac{dy}{dx}=x-xy
limit as x approaches 4+of sqrt(x^2-16)	\lim\:_{x\to\:4+}(\sqrt{x^{2}-16})
limit as x approaches 0 of (1^{2x}-1)/x	\lim\:_{x\to\:0}(\frac{1^{2x}-1}{x})
derivative of ln(c)	derivative\:\ln(c)
integral of z/(z^2+z-1)	\int\:\frac{z}{z^{2}+z-1}dz
f(x)=sec(3x)	f(x)=\sec(3x)
(\partial)/(\partial y)(y/((x^2+y^2)^{3/2)})	\frac{\partial\:}{\partial\:y}(\frac{y}{(x^{2}+y^{2})^{\frac{3}{2}}})
integral of (t^2sqrt(t))	\int\:(t^{2}\sqrt{t})dt
area x=45-5y^2,x=5y^2-45	area\:x=45-5y^{2},x=5y^{2}-45
derivative of 2sqrt(x)+3	\frac{d}{dx}(2\sqrt{x}+3)
derivative of f(x)=(3x)	derivative\:f(x)=(3x)
integral of (x^2+3x-4)/(x^3-4x^2+4x)	\int\:\frac{x^{2}+3x-4}{x^{3}-4x^{2}+4x}dx
integral of x^5cos(x^3)	\int\:x^{5}\cos(x^{3})dx
derivative of 2x^2+y^3	\frac{d}{dx}(2x^{2}+y^{3})
integral of sin(2x)cos(7x)	\int\:\sin(2x)\cos(7x)dx
integral of 5tan^5(x)sec^4(x)	\int\:5\tan^{5}(x)\sec^{4}(x)dx
integral from 6 to 8 of (12)/((x-6)^3)	\int\:_{6}^{8}\frac{12}{(x-6)^{3}}dx
area y=6x^2-2x,y=x^3-6x+2	area\:y=6x^{2}-2x,y=x^{3}-6x+2
limit as n approaches+(-infinity)+of e^n	\lim\:_{n\to\:+(-\infty\:)+}(e^{n})
limit as x approaches 0 of (tan^2(3x))/(x^2cos(2x))	\lim\:_{x\to\:0}(\frac{\tan^{2}(3x)}{x^{2}\cos(2x)})
integral from 1 to 2 of x^2e^x	\int\:_{1}^{2}x^{2}e^{x}dx
integral from 6 to 8 of (34)/((x-6)^3)	\int\:_{6}^{8}\frac{34}{(x-6)^{3}}dx
(\partial)/(\partial x)(xy(((2-xy))/(x+y)))	\frac{\partial\:}{\partial\:x}(xy(\frac{(2-xy)}{x+y}))
(\partial ^2)/(\partial y\partial x)((xy)/(x-y))	\frac{\partial\:^{2}}{\partial\:y\partial\:x}(\frac{xy}{x-y})
integral of (sqrt(x^2-36))/(x^2)	\int\:\frac{\sqrt{x^{2}-36}}{x^{2}}dx
integral of 1/(16+x^2)	\int\:\frac{1}{16+x^{2}}dx
limit as x approaches 0+of-(3ln(x))/x	\lim\:_{x\to\:0+}(-\frac{3\ln(x)}{x})
tangent of y=4sec(x)-8cos(x)	tangent\:y=4\sec(x)-8\cos(x)

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