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Popular Calculus Problems
limit as x approaches-2 of x^2-3
\lim\:_{x\to\:-2}(x^{2}-3)
derivative of [x+(x+sin^2(x)^7]^3)
\frac{d}{dx}([x+(x+\sin^{2}(x))^{7}]^{3})
limit as x approaches 0 of 2^{-1/x}
\lim\:_{x\to\:0}(2^{-\frac{1}{x}})
(\partial)/(\partial y)(y+xcos(t))
\frac{\partial\:}{\partial\:y}(y+x\cos(t))
derivative of 1/(x^2+y^2+xe^{-y})
\frac{d}{dx}(\frac{1}{x^{2}+y^{2}}+xe^{-y})
derivative of 5x^3-4x^2-11
derivative\:5x^{3}-4x^{2}-11
limit as x approaches-3-of 1/(x+3)
\lim\:_{x\to\:-3-}(\frac{1}{x+3})
derivative of sin(x^3cos^3(x))
\frac{d}{dx}(\sin(x^{3})\cos^{3}(x))
integral of 4/(sqrt(-4x^2-20x-9))
\int\:\frac{4}{\sqrt{-4x^{2}-20x-9}}dx
tangent of f(x)= 1/x ,(-1,-1)
tangent\:f(x)=\frac{1}{x},(-1,-1)
y^'-2y=x^2+5
y^{\prime\:}-2y=x^{2}+5
integral of 1/(x(x^7+1)^2)
\int\:\frac{1}{x(x^{7}+1)^{2}}dx
derivative of y=2*x^5-3*x*e^{-x}-10
derivative\:y=2\cdot\:x^{5}-3\cdot\:x\cdot\:e^{-x}-10
limit as x approaches 2 of (x-4)/(x^2-6)
\lim\:_{x\to\:2}(\frac{x-4}{x^{2}-6})
derivative of arctan(e^{x^2}+x^2)
\frac{d}{dx}(\arctan(e^{x^{2}}+x^{2}))
(\partial)/(\partial x)(1/(x-y))
\frac{\partial\:}{\partial\:x}(\frac{1}{x-y})
integral of 1/(ax+b)
\int\:\frac{1}{ax+b}dx
integral of sqrt(2x)og(2-x)x
\int\:\sqrt{2x}og(2-x)x
integral of 1/(sqrt(4x-3-x^2))
\int\:\frac{1}{\sqrt{4x-3-x^{2}}}dx
integral of sin(z+pi/2)
\int\:\sin(z+\frac{π}{2})dz
(\partial)/(\partial x)(8xz)
\frac{\partial\:}{\partial\:x}(8xz)
slope of (7-4)(70)
slope\:(7-4)(70)
integral of (x+5)*cos(x)
\int\:(x+5)\cdot\:\cos(x)dx
integral of sec^3(x)sin(x)
\int\:\sec^{3}(x)\sin(x)dx
y^{''}-4y^'=x-2
y^{\prime\:\prime\:}-4y^{\prime\:}=x-2
integral of (-3x^4+x^3+5-5e^x)
\int\:(-3x^{4}+x^{3}+5-5e^{x})dx
(\partial)/(\partial x)(sin(6x-3y))
\frac{\partial\:}{\partial\:x}(\sin(6x-3y))
derivative of y=5x^{-7}-8/x
derivative\:y=5x^{-7}-\frac{8}{x}
derivative of sin^2(4x)
derivative\:\sin^{2}(4x)
sum from n=1 to infinity of 4^nx^nn!
\sum\:_{n=1}^{\infty\:}4^{n}x^{n}n!
sum from n=1 to infinity of (ln(n))/n
\sum\:_{n=1}^{\infty\:}\frac{\ln(n)}{n}
integral of ((9x+14))/((x-2)(x^2+4))
\int\:\frac{(9x+14)}{(x-2)(x^{2}+4)}dx
integral of (2x+7)^3
\int\:(2x+7)^{3}dx
derivative of 200+7/x+(x^2/7)
\frac{d}{dx}(200+\frac{7}{x}+\frac{x^{2}}{7})
limit as x approaches-1 of (|x-1|)/(x-1)
\lim\:_{x\to\:-1}(\frac{\left|x-1\right|}{x-1})
sum from n=1 to infinity of 4/n-4/(n+1)
\sum\:_{n=1}^{\infty\:}\frac{4}{n}-\frac{4}{n+1}
integral of x^{1/12}
\int\:x^{\frac{1}{12}}dx
(\partial)/(\partial x)((2x)/(x^2-y^2))
\frac{\partial\:}{\partial\:x}(\frac{2x}{x^{2}-y^{2}})
integral from 4 to 7 of 1/(sqrt(x-4))
\int\:_{4}^{7}\frac{1}{\sqrt{x-4}}dx
f(x)=2x^2+3
f(x)=2x^{2}+3
derivative of y=e^{7/x}
derivative\:y=e^{\frac{7}{x}}
limit as x approaches 0 of x/(ln(1+x))
\lim\:_{x\to\:0}(\frac{x}{\ln(1+x)})
derivative of (cos(x)/(sin(x)+1))
\frac{d}{dx}(\frac{\cos(x)}{\sin(x)+1})
d/(dt)(t-1/3 t^3)
\frac{d}{dt}(t-\frac{1}{3}t^{3})
derivative of (sech(2x)^{sin(3x)})
\frac{d}{dx}((\sech(2x))^{\sin(3x)})
derivative of sqrt(x)*(x-1)
\frac{d}{dx}(\sqrt{x}\cdot\:(x-1))
integral of xln(x+1)
\int\:x\ln(x+1)dx
derivative of ln((e^x-1/(e^x+1)))
\frac{d}{dx}(\ln(\frac{e^{x}-1}{e^{x}+1}))
limit as x approaches 7 of 1/(x-7)
\lim\:_{x\to\:7}(\frac{1}{x-7})
integral from-infinity to-1 of x^{-14/5}
\int\:_{-\infty\:}^{-1}x^{-\frac{14}{5}}dx
integral of (x+3)/(x^2+6x+1)
\int\:\frac{x+3}{x^{2}+6x+1}dx
integral of sqrt(y)(2y^2-3)
\int\:\sqrt{y}(2y^{2}-3)dy
derivative of 4^{-2x}
\frac{d}{dx}(4^{-2x})
(d^2)/(dx^2)y+81y=0
\frac{d^{2}}{dx^{2}}y+81y=0
derivative of (1-cosh(x)/(1+cosh(x)))
\frac{d}{dx}(\frac{1-\cosh(x)}{1+\cosh(x)})
integral from 0 to 1 of x^2(x^3+1)^3
\int\:_{0}^{1}x^{2}(x^{3}+1)^{3}dx
derivative of (e^x^x)
\frac{d}{dx}((e^{x})^{x})
inverse oflaplace 1000*1/(s^2+1000s)
inverselaplace\:1000\cdot\:\frac{1}{s^{2}+1000s}
integral of (x^4)/4-(x^3)/3-(x^2)/2+x+C
\int\:\frac{x^{4}}{4}-\frac{x^{3}}{3}-\frac{x^{2}}{2}+x+Cdx
integral of sqrt(2)x^3
\int\:\sqrt{2}x^{3}dx
derivative of 3/(ln(x))
derivative\:\frac{3}{\ln(x)}
x^2y^{''}-xy^'-3y=0
x^{2}y^{\prime\:\prime\:}-xy^{\prime\:}-3y=0
(xdy)/(dx)= 1/(y^3)
\frac{xdy}{dx}=\frac{1}{y^{3}}
(dy)/(dx)=(4+3x)^4
\frac{dy}{dx}=(4+3x)^{4}
integral of e^{tx}*1/θ e^{-x/θ}
\int\:e^{tx}\cdot\:\frac{1}{θ}e^{-\frac{x}{θ}}dx
x^2y^{''}+2xy^'-6y=0
x^{2}y^{\prime\:\prime\:}+2xy^{\prime\:}-6y=0
limit as x approaches-2-of 1/((x+2)^5)
\lim\:_{x\to\:-2-}(\frac{1}{(x+2)^{5}})
derivative of 3x^6e^x
\frac{d}{dx}(3x^{6}e^{x})
area x+4y=25,x+7=y^2
area\:x+4y=25,x+7=y^{2}
integral of 1/(x^2)sqrt(4+1/x)
\int\:\frac{1}{x^{2}}\sqrt{4+\frac{1}{x}}dx
derivative of-2x^3(x^2+1)^{-2}
derivative\:-2x^{3}(x^{2}+1)^{-2}
derivative of x^2y-1
\frac{d}{dx}(x^{2}y-1)
tangent of y=3x^2+4x,(-2,4)
tangent\:y=3x^{2}+4x,(-2,4)
(\partial)/(\partial x)(2xy^7+x^8y^7)
\frac{\partial\:}{\partial\:x}(2xy^{7}+x^{8}y^{7})
derivative of f(x)=sqrt(x^2+9)
derivative\:f(x)=\sqrt{x^{2}+9}
derivative of y=(((x-2))/((x-3)))^2
derivative\:y=(\frac{(x-2)}{(x-3)})^{2}
derivative of f(x)=5x+3/x
derivative\:f(x)=5x+\frac{3}{x}
derivative of (4z+e^{-z^2})^5
derivative\:(4z+e^{-z^{2}})^{5}
limit as x approaches a of 2x
\lim\:_{x\to\:a}(2x)
integral from-infinity to 0 of xe^{2x}
\int\:_{-\infty\:}^{0}xe^{2x}dx
y^{''}-y^'-6y=18cos(3x)
y^{\prime\:\prime\:}-y^{\prime\:}-6y=18\cos(3x)
derivative of f(x)=(3x)/((1-x)^2)
derivative\:f(x)=\frac{3x}{(1-x)^{2}}
integral of-3tan(x/3)
\int\:-3\tan(\frac{x}{3})dx
integral from 3 to 7 of (x-6)sqrt(x-3)
\int\:_{3}^{7}(x-6)\sqrt{x-3}dx
integral from 1 to e of 1
\int\:_{1}^{e}1
integral of (x^3)/(1+x^2)
\int\:\frac{x^{3}}{1+x^{2}}dx
derivative of x^{-1/4}+x^{1/4}
derivative\:x^{-\frac{1}{4}}+x^{\frac{1}{4}}
tangent of f(x)=x^2-7,\at x=3
tangent\:f(x)=x^{2}-7,\at\:x=3
area 2/x , 2/(x^2),4
area\:\frac{2}{x},\frac{2}{x^{2}},4
derivative of 4arctan(sqrt(x))
\frac{d}{dx}(4\arctan(\sqrt{x}))
(y-x)e^x+(1+e^x)y^'=0,y(1)=1
(y-x)e^{x}+(1+e^{x})y^{\prime\:}=0,y(1)=1
implicit (dy)/(dx),50x^{1/3}y^{2/3}=600
implicit\:\frac{dy}{dx},50x^{\frac{1}{3}}y^{\frac{2}{3}}=600
f(x)=(4x)^{ln(4x)}
f(x)=(4x)^{\ln(4x)}
integral from 1 to 2 of (13)/(x^3+3x)
\int\:_{1}^{2}\frac{13}{x^{3}+3x}dx
limit as x approaches infinity of 2x^2-8
\lim\:_{x\to\:\infty\:}(2x^{2}-8)
limit as x approaches-1 of (\sqrt[3]{-1.1}+1)/(-1.1+1)
\lim\:_{x\to\:-1}(\frac{\sqrt[3]{-1.1}+1}{-1.1+1})
integral of ((ln(t))^2)/t
\int\:\frac{(\ln(t))^{2}}{t}dt
derivative of 6/((x+5^2)-3)
\frac{d}{dx}(\frac{6}{(x+5)^{2}}-3)
sum from n=5 to infinity of 3/(n^2-n)
\sum\:_{n=5}^{\infty\:}\frac{3}{n^{2}-n}
(\partial)/(\partial x)(I(x,c,t)n(3x+3ct))
\frac{\partial\:}{\partial\:x}(I(x,c,t)n(3x+3ct))
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