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Popular Calculus Problems
10xy^'-7y=2x^4
10xy^{\prime\:}-7y=2x^{4}
(\partial)/(\partial y)(z^2x+y^3)
\frac{\partial\:}{\partial\:y}(z^{2}x+y^{3})
derivative of f(x)=x-3x^{1/3}
derivative\:f(x)=x-3x^{\frac{1}{3}}
derivative of Ansqrt(n-b)
derivative\:An\sqrt{n-b}
integral from 0 to 1 of x^2cos(x^3)
\int\:_{0}^{1}x^{2}\cos(x^{3})dx
derivative of 6x^7-2x^5+2
\frac{d}{dx}(6x^{7}-2x^{5}+2)
simplify 6/(\sqrt[3]{x)}
simplify\:\frac{6}{\sqrt[3]{x}}
sum from n=0 to infinity of ne^{-n}
\sum\:_{n=0}^{\infty\:}ne^{-n}
derivative of-1cos(t)
derivative\:-1\cos(t)
integral from 0 to 1 of x(x^2+1)
\int\:_{0}^{1}x(x^{2}+1)dx
integral of-tsqrt(t-1)
\int\:-t\sqrt{t-1}dt
integral of (6e^u-u^3(sqrt(u)+1))
\int\:(6e^{u}-u^{3}(\sqrt{u}+1))du
(\partial)/(\partial x)(x/(x^2+1))
\frac{\partial\:}{\partial\:x}(\frac{x}{x^{2}+1})
derivative of (3x+2/(x-3))
\frac{d}{dx}(\frac{3x+2}{x-3})
integral of 1/(2x^2-16)
\int\:\frac{1}{2x^{2}-16}dx
integral of (sqrt(4-x^2))/x
\int\:\frac{\sqrt{4-x^{2}}}{x}dx
limit as x approaches-2 of x/((x+2)^2)
\lim\:_{x\to\:-2}(\frac{x}{(x+2)^{2}})
limit as x approaches-4 of (x)^2
\lim\:_{x\to\:-4}((x)^{2})
integral of 1/(sqrt(x^2+3))
\int\:\frac{1}{\sqrt{x^{2}+3}}dx
limit as θ approaches 0 of θcos(3/θ)
\lim\:_{θ\to\:0}(θ\cos(\frac{3}{θ}))
integral of ((x-3)^3)/x
\int\:\frac{(x-3)^{3}}{x}dx
integral of \sqrt[8]{x}
\int\:\sqrt[8]{x}dx
integral of 9/(3+9x)
\int\:\frac{9}{3+9x}dx
integral of 1/(1-4y)
\int\:\frac{1}{1-4y}dy
expand (x+1)^3(1-x)
expand\:(x+1)^{3}(1-x)
derivative of 5e^xsin(x)
\frac{d}{dx}(5e^{x}\sin(x))
derivative of s(t)=t^3-5t^2-3t+8
derivative\:s(t)=t^{3}-5t^{2}-3t+8
(dy)/(dx)+y/x =2x^6y^2
\frac{dy}{dx}+\frac{y}{x}=2x^{6}y^{2}
derivative of f(x)=x^2*e^{-x^2}
derivative\:f(x)=x^{2}\cdot\:e^{-x^{2}}
f(x)=(50)/x
f(x)=\frac{50}{x}
integral of y^{4/3}
\int\:y^{\frac{4}{3}}dy
inverse oflaplace (e^{-2s})/(s^2+16)
inverselaplace\:\frac{e^{-2s}}{s^{2}+16}
integral from-1 to 1 of 1/2 (9-9x^2)^2
\int\:_{-1}^{1}\frac{1}{2}(9-9x^{2})^{2}dx
derivative of 500sqrt(x)-0.5x-500
\frac{d}{dx}(500\sqrt{x}-0.5x-500)
integral of (x+1)(3x-2)
\int\:(x+1)(3x-2)dx
derivative of (sqrt(x)/(x+1))
\frac{d}{dx}(\frac{\sqrt{x}}{x+1})
integral of 8sin^2(x-pi/(12))
\int\:8\sin^{2}(x-\frac{π}{12})dx
(dy)/(dx)=((2xy-xy^2))/(x^2)
\frac{dy}{dx}=\frac{(2xy-xy^{2})}{x^{2}}
(\partial)/(\partial y)((xy)/(x+y))
\frac{\partial\:}{\partial\:y}(\frac{xy}{x+y})
f(t)= 3/t
f(t)=\frac{3}{t}
derivative of-3/4 e^{-x/4}
\frac{d}{dx}(-\frac{3}{4}e^{-\frac{x}{4}})
(\partial)/(\partial x)(-e^{-x}cos(y))
\frac{\partial\:}{\partial\:x}(-e^{-x}\cos(y))
integral of (4x^5)/(sqrt(9-16x^6))
\int\:\frac{4x^{5}}{\sqrt{9-16x^{6}}}dx
derivative of (x^x+1^2)
\frac{d}{dx}((x^{x}+1)^{2})
tangent of f(x)=x^2+2x-1,(1,2)
tangent\:f(x)=x^{2}+2x-1,(1,2)
integral of 10(x+1)(x^2+2x+3)^4
\int\:10(x+1)(x^{2}+2x+3)^{4}dx
derivative of a{r}(xcos((x+1)/3))
\frac{d}{dx}(a{r}(x)\cos(\frac{x+1}{3}))
derivative of 18x-2/3 x^3
\frac{d}{dx}(18x-\frac{2}{3}x^{3})
limit as x approaches 1 of e^x-e
\lim\:_{x\to\:1}(e^{x}-e)
integral from 3 to infinity of xe^{-x}
\int\:_{3}^{\infty\:}xe^{-x}dx
integral of 1/(x^4sqrt(x^2-2))
\int\:\frac{1}{x^{4}\sqrt{x^{2}-2}}dx
derivative of (cos(3x^3)/(tan(3x^2+2x)))
\frac{d}{dx}(\frac{\cos(3x^{3})}{\tan(3x^{2}+2x)})
tangent of-3/2 x^2+4x+4
tangent\:-\frac{3}{2}x^{2}+4x+4
integral of x^{-1/5}
\int\:x^{-\frac{1}{5}}dx
integral of (12)/(\sqrt[3]{10x+4)}-3
\int\:\frac{12}{\sqrt[3]{10x+4}}-3dx
derivative of y=-7/((t+5)^2)
derivative\:y=-\frac{7}{(t+5)^{2}}
integral of (x^4-4x^{-3}-5)
\int\:(x^{4}-4x^{-3}-5)dx
integral of x((1-x^2)^{3/2}-x^3)
\int\:x((1-x^{2})^{\frac{3}{2}}-x^{3})dx
integral of 1/(x(5-x))
\int\:\frac{1}{x(5-x)}dx
integral of (ln(x+9))/(x+9)
\int\:\frac{\ln(x+9)}{x+9}dx
integral from-1 to 9 of (9-x^2)-(-8x)
\int\:_{-1}^{9}(9-x^{2})-(-8x)dx
y^'=-3y^2
y^{\prime\:}=-3y^{2}
derivative of 1/12 (x+3^3+(x+3)^{-1})
\frac{d}{dx}(\frac{1}{12}(x+3)^{3}+(x+3)^{-1})
integral from 1 to 4 of sqrt(t)ln(t/2)
\int\:_{1}^{4}\sqrt{t}\ln(\frac{t}{2})dt
integral of (4x)/(sqrt(1-16x^4))
\int\:\frac{4x}{\sqrt{1-16x^{4}}}dx
normal of y= x/a+a/x ,\at x= a/2
normal\:y=\frac{x}{a}+\frac{a}{x},\at\:x=\frac{a}{2}
limit as x approaches 5 of [x]
\lim\:_{x\to\:5}([x])
tangent of f(x)=x^2+8,(-3,17)
tangent\:f(x)=x^{2}+8,(-3,17)
limit as x approaches-2 of 4x
\lim\:_{x\to\:-2}(4x)
y^'-2(x+1)^3= 4/((x+1))y
y^{\prime\:}-2(x+1)^{3}=\frac{4}{(x+1)}y
derivative of x^5sqrt(x)
\frac{d}{dx}(x^{5}\sqrt{x})
derivative of f(x)=3x-4
derivative\:f(x)=3x-4
integral from-infinity to 1 of e^{4x}
\int\:_{-\infty\:}^{1}e^{4x}dx
derivative of (x^2-2x-3/((x-1)^2))
\frac{d}{dx}(\frac{x^{2}-2x-3}{(x-1)^{2}})
sum from n=2 to infinity of 9/(n(n+2))
\sum\:_{n=2}^{\infty\:}\frac{9}{n(n+2)}
derivative of x/(sqrt(1+x^2+x^4))
\frac{d}{dx}(\frac{x}{\sqrt{1+x^{2}+x^{4}}})
derivative of-7sqrt(x^3)-2/(x^3+7x)
\frac{d}{dx}(-7\sqrt{x^{3}}-\frac{2}{x^{3}}+7x)
integral of 1/(sqrt(25x^2-81))
\int\:\frac{1}{\sqrt{25x^{2}-81}}dx
y^'-y^2=0
y^{\prime\:}-y^{2}=0
derivative of sin^3(cos(8x))
derivative\:\sin^{3}(\cos(8x))
integral of cos^2(2x)cos(2x)
\int\:\cos^{2}(2x)\cos(2x)dx
(\partial)/(\partial x)(4+ln(xy-5))
\frac{\partial\:}{\partial\:x}(4+\ln(xy-5))
integral of 4^k
\int\:4^{k}dk
f(θ)=(sin(θ))/(1+cos(θ))
f(θ)=\frac{\sin(θ)}{1+\cos(θ)}
derivative of 2x^3+15x^2-84x+10
\frac{d}{dx}(2x^{3}+15x^{2}-84x+10)
derivative of 30e^{x^2}x
derivative\:30e^{x^{2}}x
limit as x approaches 0+of xn(x)
\lim\:_{x\to\:0+}(xn(x))
derivative of (pi-2x^2)
\frac{d}{dx}((π-2x)^{2})
integral of 1/(sqrt(t^2-12t+45))
\int\:\frac{1}{\sqrt{t^{2}-12t+45}}dt
maclaurin (1+x)e^{-x}
maclaurin\:(1+x)e^{-x}
derivative of (e^x-e^{-x})/2
derivative\:\frac{e^{x}-e^{-x}}{2}
derivative of (x^{1/3})
\frac{d}{dx}((x)^{\frac{1}{3}})
derivative of-(ln(1+6x)/x)
\frac{d}{dx}(-\frac{\ln(1+6x)}{x})
derivative of 1/(x(x-1))
\frac{d}{dx}(\frac{1}{x(x-1)})
x(dy)/(dx)=6y
x\frac{dy}{dx}=6y
tangent of f(x)=2x^2+x-3,\at x=-1
tangent\:f(x)=2x^{2}+x-3,\at\:x=-1
y^'=(t+y)^2
y^{\prime\:}=(t+y)^{2}
area 2x,3x^2,0,1
area\:2x,3x^{2},0,1
(dy)/(dt)=(te^t)/(ysqrt(6+y^2))
\frac{dy}{dt}=\frac{te^{t}}{y\sqrt{6+y^{2}}}
maclaurin e^{x/2}
maclaurin\:e^{\frac{x}{2}}
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