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Popular Calculus Problems
integral of 1/((x^2+6x+13))
\int\:\frac{1}{(x^{2}+6x+13)}dx
derivative of 2^{sqrt(x^2+3x+4)}
\frac{d}{dx}(2^{\sqrt{x^{2}+3x+4}})
derivative of x^3-3x
derivative\:x^{3}-3x
derivative of x9^x
\frac{d}{dx}(x9^{x})
derivative of ax^{a-1}ln(x+x^{a-1})
\frac{d}{dx}(ax^{a-1}\ln(x)+x^{a-1})
derivative of-(6e^{6/x})/(x^2)
derivative\:-\frac{6e^{\frac{6}{x}}}{x^{2}}
derivative of (5x^2/(2sqrt(b^2+x^2)))
\frac{d}{dx}(\frac{5x^{2}}{2\sqrt{b^{2}+x^{2}}})
(y^2+xy)dx+x^2dy=0
(y^{2}+xy)dx+x^{2}dy=0
20y^{''}+11y^'-3y=0
20y^{\prime\:\prime\:}+11y^{\prime\:}-3y=0
d/(d{y)}(({z})/(({x)^2+{y}^2+{z}^2)^{3/2}})
\frac{d}{d{y}}(\frac{{z}}{({x}^{2}+{y}^{2}+{z}^{2})^{\frac{3}{2}}})
limit as x approaches 1 of (x^2-3x+2)/(x^3-1)
\lim\:_{x\to\:1}(\frac{x^{2}-3x+2}{x^{3}-1})
integral of 3/(x^2sqrt(25-x^2))
\int\:\frac{3}{x^{2}\sqrt{25-x^{2}}}dx
(\partial)/(\partial y)((x^2+y)e^{y/2})
\frac{\partial\:}{\partial\:y}((x^{2}+y)e^{\frac{y}{2}})
integral of e^{-2x}sin(2x)
\int\:e^{-2x}\sin(2x)dx
integral of (x^4)/(x^2+1)
\int\:\frac{x^{4}}{x^{2}+1}dx
integral from 1 to 3 of (x-1)ln(x)
\int\:_{1}^{3}(x-1)\ln(x)dx
derivative of 4/3 {p}(xi{r}(x)(x)^3)
\frac{d}{dx}(\frac{4}{3}{p}(x)i{r}(x)(x)^{3})
(\partial)/(\partial x)(yln(x^4+y^3+2)-7)
\frac{\partial\:}{\partial\:x}(y\ln(x^{4}+y^{3}+2)-7)
derivative of (4/3)pix^3
derivative\:(\frac{4}{3})pix^{3}
derivative of (x^3+2x^4)
\frac{d}{dx}((x^{3}+2x)^{4})
f(x)=((x-1)^2)/((x+2))
f(x)=\frac{(x-1)^{2}}{(x+2)}
implicit xsin(y)+ysin(x)=6
implicit\:x\sin(y)+y\sin(x)=6
y^'+5xe^y=0
y^{\prime\:}+5xe^{y}=0
(\partial)/(\partial x)(2ycos(9y^2x))
\frac{\partial\:}{\partial\:x}(2y\cos(9y^{2}x))
limit as x approaches 0 of x^{1/2}
\lim\:_{x\to\:0}(x^{\frac{1}{2}})
integral of 2xtan(x)
\int\:2x\tan(x)dx
limit as x approaches 2-of sqrt(4-x^2)
\lim\:_{x\to\:2-}(\sqrt{4-x^{2}})
sum from n=0 to infinity of 6/(n^2-1)
\sum\:_{n=0}^{\infty\:}\frac{6}{n^{2}-1}
laplacetransform-5t^3
laplacetransform\:-5t^{3}
(y^')/(1+y^2)+t/(e^{t^2)}=0,y(0)=1
\frac{y^{\prime\:}}{1+y^{2}}+\frac{t}{e^{t^{2}}}=0,y(0)=1
derivative of (11/x)
\frac{d}{dx}(\frac{11}{x})
derivative of \sqrt[7]{x^2}+2sqrt(x^7)
derivative\:\sqrt[7]{x^{2}}+2\sqrt{x^{7}}
integral from 1/7 to 3 of 12xln(7x)
\int\:_{\frac{1}{7}}^{3}12x\ln(7x)dx
derivative of (sin(x)/(x^3))
\frac{d}{dx}(\frac{\sin(x)}{x^{3}})
(\partial)/(\partial x)(1/2 (x^2+10y^2))
\frac{\partial\:}{\partial\:x}(\frac{1}{2}(x^{2}+10y^{2}))
f(x)=x-cos(x)
f(x)=x-\cos(x)
integral from 0 to 6 of 2.3^tsin(t/2)
\int\:_{0}^{6}2.3^{t}\sin(\frac{t}{2})dt
integral of ((2x+4))/(x^2+4x+5)
\int\:\frac{(2x+4)}{x^{2}+4x+5}dx
integral of (x^2+2x+3)/(x^3+3x^2+9x+1)
\int\:\frac{x^{2}+2x+3}{x^{3}+3x^{2}+9x+1}dx
integral of 1/(2x^2+x)
\int\:\frac{1}{2x^{2}+x}dx
area sin(x),-sin(x),[0,4]
area\:\sin(x),-\sin(x),[0,4]
integral of (10x^3-5x^2+4x)/(x^2)
\int\:\frac{10x^{3}-5x^{2}+4x}{x^{2}}dx
derivative of tanh(2x-3)
\frac{d}{dx}(\tanh(2x-3))
tangent of f(x)=x^2+x,(1,2)
tangent\:f(x)=x^{2}+x,(1,2)
slope ofintercept (-1,-4),(0,2)
slopeintercept\:(-1,-4),(0,2)
area-x^2+3x+1,-x-1,[0,4]
area\:-x^{2}+3x+1,-x-1,[0,4]
integral of (-3)/x
\int\:\frac{-3}{x}dx
integral of (4t-3)/(t+1)
\int\:\frac{4t-3}{t+1}dt
tangent of f(x)=x^4+5x^2-x,(1,5)
tangent\:f(x)=x^{4}+5x^{2}-x,(1,5)
integral of (4x+3)/(x^2+4)
\int\:\frac{4x+3}{x^{2}+4}dx
derivative of ln(xsqrt(x^2+1))
derivative\:\ln(x\sqrt{x^{2}+1})
tangent of f(x)=6x-6x
tangent\:f(x)=6x-6x
integral from 1 to 2 of xe^{x^2}
\int\:_{1}^{2}xe^{x^{2}}dx
(dy)/(dx)=(4y)
\frac{dy}{dx}=(4y)
derivative of (3x^2+4(2x-3))
\frac{d}{dx}((3x^{2}+4)(2x-3))
integral of 5/x+e^x
\int\:\frac{5}{x}+e^{x}dx
tangent of y=5+5x^2-2x^3
tangent\:y=5+5x^{2}-2x^{3}
integral of (x-5)^2e^x
\int\:(x-5)^{2}e^{x}dx
limit as x approaches 8+of 1/((x-8)^2)
\lim\:_{x\to\:8+}(\frac{1}{(x-8)^{2}})
y^'+3y=3
y^{\prime\:}+3y=3
derivative of 5x+3sqrt(x)
derivative\:5x+3\sqrt{x}
inverse oflaplace (12s)/((132s+30s^2))
inverselaplace\:\frac{12s}{(132s+30s^{2})}
area y=2x,y=4x^2
area\:y=2x,y=4x^{2}
integral of x^2-x^4
\int\:x^{2}-x^{4}dx
derivative of sin^2(xcos^2(x))
\frac{d}{dx}(\sin^{2}(x)\cos^{2}(x))
derivative of (2x^2+4x-3/(x-5))
\frac{d}{dx}(\frac{2x^{2}+4x-3}{x-5})
derivative of e^{-9x}
derivative\:e^{-9x}
derivative of sec^2(6x)
\frac{d}{dx}(\sec^{2}(6x))
derivative of c_{1}e^x+c_{2}e^{2x}
\frac{d}{dx}(c_{1}e^{x}+c_{2}e^{2x})
(dx}{dt}=t^5-\frac{2x)/t
\frac{dx}{dt}=t^{5}-\frac{2x}{t}
integral from 0 to pi/6 of xsin(x+y)
\int\:_{0}^{\frac{π}{6}}x\sin(x+y)dx
derivative of ln(1+10x)
\frac{d}{dx}(\ln(1+10x))
integral of 1/(sqrt(x+1)+\sqrt[4]{x+1)}
\int\:\frac{1}{\sqrt{x+1}+\sqrt[4]{x+1}}dx
limit as x approaches 4+of 2x
\lim\:_{x\to\:4+}(2x)
limit as x approaches 0+of cot(x)
\lim\:_{x\to\:0+}(\cot(x))
integral from 0 to 2 of (2x+5)
\int\:_{0}^{2}(2x+5)dx
(0^2e^{0+3})^'
(0^{2}e^{0+3})^{\prime\:}
derivative of (x^5/(2-x^4))
\frac{d}{dx}(\frac{x^{5}}{2-x^{4}})
3y^{''}-30y^'+72y=6sin(4x)
3y^{\prime\:\prime\:}-30y^{\prime\:}+72y=6\sin(4x)
integral of (3x^2+6)/((x^2-2x+2)^2)
\int\:\frac{3x^{2}+6}{(x^{2}-2x+2)^{2}}dx
derivative of sin(x^3+3xy)
\frac{d}{dx}(\sin(x^{3})+3xy)
tangent of f(x)= x/(x+3),\at x=1
tangent\:f(x)=\frac{x}{x+3},\at\:x=1
derivative of ln(2+x^2)
\frac{d}{dx}(\ln(2+x^{2}))
integral of cos(5x)
\int\:\cos(5x)dx
integral of sqrt(9-x^2)
\int\:\sqrt{9-x^{2}}dx
laplacetransform g(t)=sin(2t)sin(t)
laplacetransform\:g(t)=\sin(2t)\sin(t)
derivative of x^3-1/(x^2)
\frac{d}{dx}(x^{3}-\frac{1}{x^{2}})
limit as x approaches-infinity of xe^x-1
\lim\:_{x\to\:-\infty\:}(xe^{x}-1)
derivative of (x^3)/(5-x^2)
derivative\:\frac{x^{3}}{5-x^{2}}
derivative of 1/3 x^3+7x^2+50x
\frac{d}{dx}(\frac{1}{3}x^{3}+7x^{2}+50x)
integral of (y^4)/(sqrt(y^2-9))
\int\:\frac{y^{4}}{\sqrt{y^{2}-9}}dy
integral of (1+sin(x))
\int\:(1+\sin(x))dx
(\partial)/(\partial x)(2x^2-3y^2-2x)
\frac{\partial\:}{\partial\:x}(2x^{2}-3y^{2}-2x)
integral of tan(x/(sqrt(2)))
\int\:\tan(\frac{x}{\sqrt{2}})dx
d/(dt)(tcos(6t))
\frac{d}{dt}(t\cos(6t))
(\partial)/(\partial x)(e^{2x^3-3y})
\frac{\partial\:}{\partial\:x}(e^{2x^{3}-3y})
integral of (x^2-8x-1)/((x-1)^2(x^2+1))
\int\:\frac{x^{2}-8x-1}{(x-1)^{2}(x^{2}+1)}dx
derivative of 2x+8
\frac{d}{dx}(2x+8)
derivative of [arctan(3x]^2)
\frac{d}{dx}([\arctan(3x)]^{2})
derivative of 1680(2x+5)^4
derivative\:1680(2x+5)^{4}
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