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Popular Calculus Problems
derivative of e^{-x}arctan(2e^x)
derivative\:e^{-x}\arctan(2e^{x})
integral of (3x^2+4x+1)
\int\:(3x^{2}+4x+1)dx
sum from n=0 to infinity of (-x^2-8)^n
\sum\:_{n=0}^{\infty\:}(-x^{2}-8)^{n}
integral of 1/2 e^{x^2}
\int\:\frac{1}{2}e^{x^{2}}dx
(x^2-4)*(dy)/(dx)+4y=(x+2)^2
(x^{2}-4)\cdot\:\frac{dy}{dx}+4y=(x+2)^{2}
integral of 12xy
\int\:12xydx
x^2y^{''}-xy^'+2y=0
x^{2}y^{\prime\:\prime\:}-xy^{\prime\:}+2y=0
derivative of (2y/x)
\frac{d}{dx}(\frac{2y}{x})
integral of 9sin^4(x)cos^2(x)
\int\:9\sin^{4}(x)\cos^{2}(x)dx
derivative of y=x^2e^{-3x}
derivative\:y=x^{2}e^{-3x}
integral of s/(sqrt(3s^2+1))
\int\:\frac{s}{\sqrt{3s^{2}+1}}ds
derivative of (e^{2x+1}/(2x+5))
\frac{d}{dx}(\frac{e^{2x+1}}{2x+5})
sum from n=1 to infinity of (ln(n))/(2n)
\sum\:_{n=1}^{\infty\:}\frac{\ln(n)}{2n}
area y= 3/x ,y=12x
area\:y=\frac{3}{x},y=12x
(\partial)/(\partial x)(y^{z/x})
\frac{\partial\:}{\partial\:x}(y^{\frac{z}{x}})
integral of ((8x-3))/((4x^2+(-3)x))
\int\:\frac{(8x-3)}{(4x^{2}+(-3)x)}dx
integral of x/((2+x^2))
\int\:\frac{x}{(2+x^{2})}dx
limit as x approaches 1 of (1+8/(-1))^{-x}
\lim\:_{x\to\:1}((1+\frac{8}{-1})^{-x})
dx=xsqrt(x^2-16dy)
dx=x\sqrt{x^{2}-16dy}
derivative of 6/(5x+2)
derivative\:\frac{6}{5x+2}
integral of \sqrt[3]{y}
\int\:\sqrt[3]{y}dy
(\partial)/(\partial y)(9-x^2-y^2)
\frac{\partial\:}{\partial\:y}(9-x^{2}-y^{2})
limit as x approaches infinity of (10+9e^{(2x)})/(11-8e^{(3x))}
\lim\:_{x\to\:\infty\:}(\frac{10+9e^{(2x)}}{11-8e^{(3x)}})
derivative of a{r}(xcos(x))
\frac{d}{dx}(a{r}(x)\cos(x))
integral from 0 to 5 of x
\int\:_{0}^{5}xdx
derivative of ln(9sin^2(x))
derivative\:\ln(9\sin^{2}(x))
d/(du)((5u)/(4u^2+1))
\frac{d}{du}(\frac{5u}{4u^{2}+1})
tangent of y= 1/x ,\at x=2
tangent\:y=\frac{1}{x},\at\:x=2
(\partial)/(\partial x)(x/(x^2+8y^2))
\frac{\partial\:}{\partial\:x}(\frac{x}{x^{2}+8y^{2}})
integral of 1/(ln(x+1))
\int\:\frac{1}{\ln(x+1)}dx
integral of 1/(x^2sqrt(10x+1))
\int\:\frac{1}{x^{2}\sqrt{10x+1}}dx
integral of e^θsin(θ)
\int\:e^{θ}\sin(θ)dθ
limit as x approaches-2 of (-x-2)/(x+2)
\lim\:_{x\to\:-2}(\frac{-x-2}{x+2})
sum from n=1 to infinity}(((-3)^{n-1 of))/(5^n)
\sum\:_{n=1}^{\infty\:}\frac{((-3)^{n-1})}{5^{n}}
derivative of f(x)=4(x-4)^2(x-1)
derivative\:f(x)=4(x-4)^{2}(x-1)
(\partial)/(\partial y)(xye^{xz})
\frac{\partial\:}{\partial\:y}(xye^{xz})
integral of 2sin^3(x)
\int\:2\sin^{3}(x)dx
limit as x approaches infinity of xa
\lim\:_{x\to\:\infty\:}(xa)
integral of x/((x+2)(x+3))
\int\:\frac{x}{(x+2)(x+3)}dx
inverse oflaplace 1/(s^2)-(48)/(s^5)
inverselaplace\:\frac{1}{s^{2}}-\frac{48}{s^{5}}
derivative of (x^3-6/(x^2))
\frac{d}{dx}(\frac{x^{3}-6}{x^{2}})
area x=((y-2)^2)/3 ,y=8-x
area\:x=\frac{(y-2)^{2}}{3},y=8-x
integral of 1/(x^{1/2)+x^{1/3}}
\int\:\frac{1}{x^{\frac{1}{2}}+x^{\frac{1}{3}}}dx
integral of 4x^2-x+1
\int\:4x^{2}-x+1dx
derivative of arctan(sin(ln(x^3)))
\frac{d}{dx}(\arctan(\sin(\ln(x^{3}))))
(dy}{dx}=\frac{x^6-6y)/x
\frac{dy}{dx}=\frac{x^{6}-6y}{x}
integral of ((2x^2-x+3))/(sqrt(x))
\int\:\frac{(2x^{2}-x+3)}{\sqrt{x}}dx
integral from 0 to 1 of x(x^2+1)^5
\int\:_{0}^{1}x(x^{2}+1)^{5}dx
derivative of ((x^2+2/3)^2)
\frac{d}{dx}((\frac{x^{2}+2}{3})^{2})
slope of y=2x^3-x^2+3
slope\:y=2x^{3}-x^{2}+3
(d^2)/(dx^2)(sqrt(x^2+4))
\frac{d^{2}}{dx^{2}}(\sqrt{x^{2}+4})
(dy)/(dx)=4xy
\frac{dy}{dx}=4xy
derivative of (sqrt(x)/(5+x))
\frac{d}{dx}(\frac{\sqrt{x}}{5+x})
integral from 0 to 3 of 1/(3x+1)
\int\:_{0}^{3}\frac{1}{3x+1}dx
integral of 1/(1+5x^2)
\int\:\frac{1}{1+5x^{2}}dx
derivative of sqrt(3-5x)
derivative\:\sqrt{3-5x}
derivative of x^2+5x+1
derivative\:x^{2}+5x+1
integral of cot(11t)sqrt(1-sin^2(11t))
\int\:\cot(11t)\sqrt{1-\sin^{2}(11t)}dt
derivative of f(x)=ax^2+bx
derivative\:f(x)=ax^{2}+bx
integral of 2/(x^{0.85)}
\int\:\frac{2}{x^{0.85}}dx
(\partial)/(\partial x)(2xy+xf(x,y)(y/x))
\frac{\partial\:}{\partial\:x}(2xy+xf(x,y)(\frac{y}{x}))
(\partial)/(\partial y)(3+2xy)
\frac{\partial\:}{\partial\:y}(3+2xy)
area 5x,3x^2
area\:5x,3x^{2}
(\partial)/(\partial x)(2cos(x^2+y^2))
\frac{\partial\:}{\partial\:x}(2\cos(x^{2}+y^{2}))
(\partial)/(\partial u)(tan(u/v))
\frac{\partial\:}{\partial\:u}(\tan(\frac{u}{v}))
integral of (5x-2)/(x^2-x)
\int\:\frac{5x-2}{x^{2}-x}dx
area y=x^2,y=12-x
area\:y=x^{2},y=12-x
derivative of sqrt(x+13)
\frac{d}{dx}(\sqrt{x+13})
limit as x approaches infinity of ln|x|
\lim\:_{x\to\:\infty\:}(\ln\left|x\right|)
y^{''}+81y=0,y(0)=4,y^'(0)=7
y^{\prime\:\prime\:}+81y=0,y(0)=4,y^{\prime\:}(0)=7
tangent of y=(e^{2x}-2)^2,(0,1)
tangent\:y=(e^{2x}-2)^{2},(0,1)
implicit (dy)/(dx), y/x =0
implicit\:\frac{dy}{dx},\frac{y}{x}=0
(\partial)/(\partial x)(sin(h)(x^2+y))
\frac{\partial\:}{\partial\:x}(\sin(h)(x^{2}+y))
derivative of sqrt(-ln(x^2+y))
\frac{d}{dx}(\sqrt{-\ln(x^{2}+y)})
limit as x approaches 7 of x
\lim\:_{x\to\:7}(x)
inverse oflaplace 1/(s^2+s+1)
inverselaplace\:\frac{1}{s^{2}+s+1}
integral of cos(x)(sec(x)tan(x))
\int\:\cos(x)(\sec(x)\tan(x))dx
limit as x approaches-2 of (x+2)/(|x+2|)
\lim\:_{x\to\:-2}(\frac{x+2}{\left|x+2\right|})
limit as x approaches 0 of ln(x)sin(x)
\lim\:_{x\to\:0}(\ln(x)\sin(x))
derivative of ln(sqrt(x-1))
\frac{d}{dx}(\ln(\sqrt{x-1}))
integral from-2 to 7 of ()((t-7)(1-t))
\int\:_{-2}^{7}\frac{d}{dt}((t-7)(1-t))dt
integral from 0 to 0.6 of 500x
\int\:_{0}^{0.6}500xdx
derivative of (8x^3-5x+2)^pi
derivative\:(8x^{3}-5x+2)^{π}
(dx)/(dt)+x= 1/(t+1)
\frac{dx}{dt}+x=\frac{1}{t+1}
(\partial)/(\partial x)(cos(2x+5y+9z))
\frac{\partial\:}{\partial\:x}(\cos(2x+5y+9z))
tangent of f(x)=-sin(x),\at x=0
tangent\:f(x)=-\sin(x),\at\:x=0
e^{x+y}y^'=x
e^{x+y}y^{\prime\:}=x
limit as x approaches 5+of ln(sin(x))
\lim\:_{x\to\:5+}(\ln(\sin(x)))
y^'=((xy+2y))/(x+3)
y^{\prime\:}=\frac{(xy+2y)}{x+3}
expand (2x+x^2)/((1+x)^2)
expand\:\frac{2x+x^{2}}{(1+x)^{2}}
(\partial)/(\partial x)(ln(1+3x^2y^3))
\frac{\partial\:}{\partial\:x}(\ln(1+3x^{2}y^{3}))
limit as x approaches 3 of (x^2-9)/(x+3)
\lim\:_{x\to\:3}(\frac{x^{2}-9}{x+3})
integral of 8xcos^2(x)
\int\:8x\cos^{2}(x)dx
y^'+sin(t)y=-sin(t)
y^{\prime\:}+\sin(t)y=-\sin(t)
(\partial)/(\partial x)(arcsin(10xyz))
\frac{\partial\:}{\partial\:x}(\arcsin(10xyz))
tangent of y=(1+x)/(1+e^x),(0, 1/2)
tangent\:y=\frac{1+x}{1+e^{x}},(0,\frac{1}{2})
limit as x approaches 0+of 3xln(x)
\lim\:_{x\to\:0+}(3x\ln(x))
derivative of sqrt(3x)ln(15x)
derivative\:\sqrt{3x}\ln(15x)
1=-sin(x-y) derivative of x-y
1=-\sin(x-y)\frac{d}{dx}(x-y)
limit as x approaches 6 of (2x+7)/(x+3)
\lim\:_{x\to\:6}(\frac{2x+7}{x+3})
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