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Popular Calculus Problems

tangent of f(x)=sec(x),(pi/3 ,2)	tangent\:f(x)=\sec(x),(\frac{π}{3},2)
(\partial)/(\partial y)(sinh(2x+3y))	\frac{\partial\:}{\partial\:y}(\sinh(2x+3y))
derivative of (55.9)/(t^2-0.31t+11.2)	derivative\:\frac{55.9}{t^{2}-0.31t+11.2}
(\partial)/(\partial x)(sqrt(-3x^2+28))	\frac{\partial\:}{\partial\:x}(\sqrt{-3x^{2}+28})
(dP)/(dt)=P(5-P)-4	\frac{dP}{dt}=P(5-P)-4
limit as x approaches 2 of x^3*2x^2	\lim\:_{x\to\:2}(x^{3}\cdot\:2x^{2})
(\partial)/(\partial x)(xy+x^2y+xy^2)	\frac{\partial\:}{\partial\:x}(xy+x^{2}y+xy^{2})
(\partial)/(\partial x)(e^{-2x^2})	\frac{\partial\:}{\partial\:x}(e^{-2x^{2}})
(\partial)/(\partial s)(4s^3t^2+2st)	\frac{\partial\:}{\partial\:s}(4s^{3}t^{2}+2st)
8y^{''}-32y=0	8y^{\prime\:\prime\:}-32y=0
derivative of cos(pi/4)	derivative\:\cos(\frac{π}{4})
(\partial)/(\partial x)(ln(t^2+x^2))	\frac{\partial\:}{\partial\:x}(\ln(t^{2}+x^{2}))
derivative of f(x)=18sqrt(x)	derivative\:f(x)=18\sqrt{x}
integral of (11)/(x^3-125)	\int\:\frac{11}{x^{3}-125}dx
derivative of y=ln(6-7x)	derivative\:y=\ln(6-7x)
derivative of cos^2(7x)	\frac{d}{dx}(\cos^{2}(7x))
(y+4)y^'=y(2x+4)	(y+4)y^{\prime\:}=y(2x+4)
sum from n=0 to infinity of 1/(2!)	\sum\:_{n=0}^{\infty\:}\frac{1}{2!}
slope ofintercept (6,-3),(8,4)	slopeintercept\:(6,-3),(8,4)
longdivision (3x-1)/(2x+1)	longdivision\:\frac{3x-1}{2x+1}
tangent of sqrt(x)(1.1)	tangent\:\sqrt{x}(1.1)
(\partial)/(\partial x)(2x-3y)	\frac{\partial\:}{\partial\:x}(2x-3y)
derivative of 1+3^{2x}	\frac{d}{dx}(1+3^{2x})
integral of 4/(6+4x)	\int\:\frac{4}{6+4x}dx
integral from-r to r of (sqrt(r^2-x^2))	\int\:_{-r}^{r}(\sqrt{r^{2}-x^{2}})dx
y^'=0.21-y/(1700)	y^{\prime\:}=0.21-\frac{y}{1700}
integral from-5 to 0 of xsqrt(4-x)	\int\:_{-5}^{0}x\sqrt{4-x}dx
f(x)=sin(2x)cos(x)	f(x)=\sin(2x)\cos(x)
y^'+(xy)/(x^2-1)+1/(x^2-1)=0	y^{\prime\:}+\frac{xy}{x^{2}-1}+\frac{1}{x^{2}-1}=0
(d^2)/(dx^2)(ln(sqrt(x^2+y^2)))	\frac{d^{2}}{dx^{2}}(\ln(\sqrt{x^{2}+y^{2}}))
integral of (5x^3)/((x-2)(x+3))	\int\:\frac{5x^{3}}{(x-2)(x+3)}dx
(\partial)/(\partial x)(ln(x+z)-yz)	\frac{\partial\:}{\partial\:x}(\ln(x+z)-yz)
d/(dt)((dx)/(dt))+d/(dt)(6x)+10x=0	\frac{d}{dt}(\frac{dx}{dt})+\frac{d}{dt}(6x)+10x=0
y+4y^3=(y^4+2x)y^'	y+4y^{3}=(y^{4}+2x)y^{\prime\:}
integral of x^2cos(kx)	\int\:x^{2}\cos(kx)dx
y^'-2xy=x,y(0)=0	y^{\prime\:}-2xy=x,y(0)=0
integral of 2^{2x+1}	\int\:2^{2x+1}dx
tangent of f(x)=2-3x^2,\at x=1	tangent\:f(x)=2-3x^{2},\at\:x=1
derivative of (x^3^2)	\frac{d}{dx}((x^{3})^{2})
integral of 1/(ax+bx^2)	\int\:\frac{1}{ax+bx^{2}}dx
limit as x approaches-1 of (x^2-1)/(x+1)	\lim\:_{x\to\:-1}(\frac{x^{2}-1}{x+1})
y^{''}+3y^'+2y= 1/(1+e^x)	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=\frac{1}{1+e^{x}}
(\partial}{\partial z}(xcos(\frac{7y)/z))	\frac{\partial\:}{\partial\:z}(x\cos(\frac{7y}{z}))
(\partial)/(\partial x)(1-(x/a)^2-(y/b)^2)	\frac{\partial\:}{\partial\:x}(1-(\frac{x}{a})^{2}-(\frac{y}{b})^{2})
(d^5)/(dx^5)(1/(x^2))	\frac{d^{5}}{dx^{5}}(\frac{1}{x^{2}})
integral of 1/(s^3-1)	\int\:\frac{1}{s^{3}-1}ds
derivative of xarctan(2x-1/4 ln(1+4x^2))	\frac{d}{dx}(x\arctan(2x)-\frac{1}{4}\ln(1+4x^{2}))
tangent of 9x^{3/5}-2x^{6/7},\at x=3	tangent\:9x^{\frac{3}{5}}-2x^{\frac{6}{7}},\at\:x=3
limit as x approaches-4 of-(x^2+10x+8)	\lim\:_{x\to\:-4}(-(x^{2}+10x+8))
derivative of f(x)= 3/((2x)^2)	derivative\:f(x)=\frac{3}{(2x)^{2}}
tangent of f(x)=tan(x),((3pi)/4 ,-1)	tangent\:f(x)=\tan(x),(\frac{3π}{4},-1)
limit as x approaches 2pi of csc(x)	\lim\:_{x\to\:2π}(\csc(x))
derivative of sqrt(9-x^2)	derivative\:\sqrt{9-x^{2}}
integral of sin^3(xco)s^8x	\int\:\sin^{3}(xco)s^{8}xdx
integral of 3θsec^2(θ)	\int\:3θ\sec^{2}(θ)dθ
sum from n=1 to infinity of (n^3)/(5^n)	\sum\:_{n=1}^{\infty\:}\frac{n^{3}}{5^{n}}
integral of (7t-4)/(t+1)	\int\:\frac{7t-4}{t+1}dt
(dy)/(dx)=sqrt(9y)*e^{x+9}	\frac{dy}{dx}=\sqrt{9y}\cdot\:e^{x+9}
sum from n=1 to infinity of n/(n^3+n^2)	\sum\:_{n=1}^{\infty\:}\frac{n}{n^{3}+n^{2}}
y^{''}+2y^'=x^2+e^{-2x}	y^{\prime\:\prime\:}+2y^{\prime\:}=x^{2}+e^{-2x}
tangent of f(x)=sqrt(x),\at x=64.2	tangent\:f(x)=\sqrt{x},\at\:x=64.2
limit as x approaches 3 of sqrt(6x^2+2)	\lim\:_{x\to\:3}(\sqrt{6x^{2}+2})
integral of ((x+1))/(sqrt(x^2+2x-4))	\int\:\frac{(x+1)}{\sqrt{x^{2}+2x-4}}dx
integral from 1 to 100 of (25)/(x^3)	\int\:_{1}^{100}\frac{25}{x^{3}}dx
integral from 0 to 1 of 3^{2x}	\int\:_{0}^{1}3^{2x}dx
integral from 0 to x^3 of ye^{-y/x}	\int\:_{0}^{x^{3}}ye^{-\frac{y}{x}}dy
integral from 0 to 1 of 11 1/(x^p)	\int\:_{0}^{1}11\frac{1}{x^{p}}dx
derivative of y=sin(tan(9x))	derivative\:y=\sin(\tan(9x))
tangent of f(x)=-3x^3+4,\at x=-1	tangent\:f(x)=-3x^{3}+4,\at\:x=-1
(\partial)/(\partial x)(mx^b)	\frac{\partial\:}{\partial\:x}(mx^{b})
integral from 0 to 3 of xsqrt(10-x^2)	\int\:_{0}^{3}x\sqrt{10-x^{2}}dx
derivative of (8x)/(7-tan(x))	derivative\:\frac{8x}{7-\tan(x)}
limit as x approaches infinity of (-1)/2	\lim\:_{x\to\:\infty\:}(\frac{-1}{2})
derivative of f(x)=sqrt(x+1)(1-5x^2)^8	derivative\:f(x)=\sqrt{x+1}(1-5x^{2})^{8}
integral of 1/(sqrt(49-x^2))	\int\:\frac{1}{\sqrt{49-x^{2}}}dx
y^'=-ysin(2x)	y^{\prime\:}=-y\sin(2x)
tangent of y=4e^xcos(x),4,\at x=0	tangent\:y=4e^{x}\cos(x),4,\at\:x=0
(dy)/(dx)y=sqrt(4x^2+2)	\frac{dy}{dx}y=\sqrt{4x^{2}+2}
inverse oflaplace 5/s	inverselaplace\:\frac{5}{s}
integral from 1 to 6 of x/2+1/(2x)	\int\:_{1}^{6}\frac{x}{2}+\frac{1}{2x}dx
integral of e^{-1/(2x)}	\int\:e^{-\frac{1}{2x}}dx
m(x)=x^3-x^2+1	m(x)=x^{3}-x^{2}+1
limit as x approaches 10.6 of ln(x^2-9)	\lim\:_{x\to\:10.6}(\ln(x^{2}-9))
integral of x^{-3}+x^{1/4}	\int\:x^{-3}+x^{\frac{1}{4}}dx
integral of sin^{1/2}(x)	\int\:\sin^{\frac{1}{2}}(x)dx
derivative of e^x(2sqrt(x)+2x)	\frac{d}{dx}(e^{x}(2\sqrt{x}+2x))
integral of arctan(v)	\int\:\arctan(v)dv
integral of sqrt(x)+\sqrt[3]{x}	\int\:\sqrt{x}+\sqrt[3]{x}dx
integral of 2/(1-x)	\int\:\frac{2}{1-x}dx
y^'-y=x+1	y^{\prime\:}-y=x+1
inverse oflaplace (2s)/(s^2-8s+6)	inverselaplace\:\frac{2s}{s^{2}-8s+6}
derivative of x^{(ln(2)/((1+ln(x)))})	\frac{d}{dx}(x^{\frac{\ln(2)}{(1+\ln(x))}})
tangent of f(x)=12(x-(1/x))^4,\at x=2	tangent\:f(x)=12(x-(\frac{1}{x}))^{4},\at\:x=2
derivative of 5\sqrt[5]{x^3}	\frac{d}{dx}(5\sqrt[5]{x^{3}})
(dr)/(ds)=0.05r	\frac{dr}{ds}=0.05r
limit as x approaches 0 of sin(1/x)*x	\lim\:_{x\to\:0}(\sin(\frac{1}{x})\cdot\:x)
integral of (cot(b)θ+tan(b)θ)^2	\int\:(\cot(b)θ+\tan(b)θ)^{2}dθ
sum from n=0 to infinity of (9n!)/(n^n)	\sum\:_{n=0}^{\infty\:}\frac{9n!}{n^{n}}
d/(dy)(1/(y^3+4y^2))	\frac{d}{dy}(\frac{1}{y^{3}+4y^{2}})
sum from n=0 to infinity of 2^{-n}	\sum\:_{n=0}^{\infty\:}2^{-n}

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