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Popular Calculus Problems
(\partial)/(\partial x)(x^3e^y+cos(y))
\frac{\partial\:}{\partial\:x}(x^{3}e^{y}+\cos(y))
integral from 1 to e^2 of x^2ln(x)
\int\:_{1}^{e^{2}}x^{2}\ln(x)dx
derivative of (x+4)/(x^3+x-5)
derivative\:\frac{x+4}{x^{3}+x-5}
area y=2x,x=5,y= 2/x
area\:y=2x,x=5,y=\frac{2}{x}
integral of (x+1)/(x^3+x^2-6x)
\int\:\frac{x+1}{x^{3}+x^{2}-6x}dx
tangent of y=x^2,\at x=-0.5
tangent\:y=x^{2},\at\:x=-0.5
derivative of 1+x^2y^2
\frac{d}{dx}(1+x^{2}y^{2})
derivative of y=(4x^6+7)^5
derivative\:y=(4x^{6}+7)^{5}
derivative of 9x-6sqrt(x)
derivative\:9x-6\sqrt{x}
(\partial)/(\partial x)(2cos(2x))
\frac{\partial\:}{\partial\:x}(2\cos(2x))
integral of (5x+3)/(sqrt(x^2+4x+10))
\int\:\frac{5x+3}{\sqrt{x^{2}+4x+10}}dx
derivative of cos^3(x/3)
\frac{d}{dx}(\cos^{3}(\frac{x}{3}))
y^{''}-4y^'+21y=0
y^{\prime\:\prime\:}-4y^{\prime\:}+21y=0
integral of (x^2+sin(x))
\int\:(x^{2}+\sin(x))dx
derivative of a^2-x^2
\frac{d}{dx}(a^{2}-x^{2})
derivative of y=5x+2
derivative\:y=5x+2
sum from k=3 to infinity of 3/(k^2-2k)
\sum\:_{k=3}^{\infty\:}\frac{3}{k^{2}-2k}
derivative of (5x+7)^2
derivative\:(5x+7)^{2}
integral of sin(4t)cos(4t)
\int\:\sin(4t)\cos(4t)dt
integral of 1/(x(x+4))
\int\:\frac{1}{x(x+4)}dx
(d^2)/(dx^2)(e^{1/x})
\frac{d^{2}}{dx^{2}}(e^{\frac{1}{x}})
(dy)/(dx)= y/(x^2),y(1)=2
\frac{dy}{dx}=\frac{y}{x^{2}},y(1)=2
derivative of arctan(sin(2x))
derivative\:\arctan(\sin(2x))
tangent of f(x)=sqrt(x),\at x= 1/81
tangent\:f(x)=\sqrt{x},\at\:x=\frac{1}{81}
derivative of \sqrt[5]{1/x}
derivative\:\sqrt[5]{\frac{1}{x}}
integral from 0 to 3.5 of 90x
\int\:_{0}^{3.5}90xdx
sum from n=1 to infinity of 1/(2n^2)
\sum\:_{n=1}^{\infty\:}\frac{1}{2n^{2}}
maclaurin x^2e^x-x^3-x^2
maclaurin\:x^{2}e^{x}-x^{3}-x^{2}
d/(dt)(2e^{3t})
\frac{d}{dt}(2e^{3t})
derivative of (sin(x)/(7+cos(x)))
\frac{d}{dx}(\frac{\sin(x)}{7+\cos(x)})
derivative of 5+6x^{3/2}
\frac{d}{dx}(5+6x^{\frac{3}{2}})
x^{''}+4x=3
x^{\prime\:\prime\:}+4x=3
integral of 7/(x^3-27)
\int\:\frac{7}{x^{3}-27}dx
limit as x approaches 4 of-3/((x-4)^2)
\lim\:_{x\to\:4}(-\frac{3}{(x-4)^{2}})
(\partial)/(\partial x)(sqrt(5))
\frac{\partial\:}{\partial\:x}(\sqrt{5})
(dy)/(dx)=e^{2-x}
\frac{dy}{dx}=e^{2-x}
limit as x approaches 2 of x/([(x^2)-4])
\lim\:_{x\to\:2}(\frac{x}{[(x^{2})-4]})
(x+2/y)dy+ydx=0
(x+\frac{2}{y})dy+ydx=0
integral from 0 to 2 of 1/(x^3)
\int\:_{0}^{2}\frac{1}{x^{3}}dx
(\partial)/(\partial x)(-2y+2x)
\frac{\partial\:}{\partial\:x}(-2y+2x)
tangent of f(x)=(ln(x))^2,\at x=11
tangent\:f(x)=(\ln(x))^{2},\at\:x=11
integral from 0 to 2 of |x^2-sqrt(x)|
\int\:_{0}^{2}\left|x^{2}-\sqrt{x}\right|dx
limit as x approaches 5 of 5x-(x-5)
\lim\:_{x\to\:5}(5x-(x-5))
sum from n=1 to infinity of e^{-(9n)/2}
\sum\:_{n=1}^{\infty\:}e^{-\frac{9n}{2}}
integral of-2e^{-2x}sin(-2y)
\int\:-2e^{-2x}\sin(-2y)
derivative of f(x)=x^4+2/x
derivative\:f(x)=x^{4}+\frac{2}{x}
sum from n=0 to infinity of n/(n^2+9)
\sum\:_{n=0}^{\infty\:}\frac{n}{n^{2}+9}
f(x)=(x^2+4)/x
f(x)=\frac{x^{2}+4}{x}
derivative of (x^3-x^2+1/(x-2))
\frac{d}{dx}(\frac{x^{3}-x^{2}+1}{x-2})
derivative of ax^2
derivative\:ax^{2}
integral from-infinity to 4 of re^{r/2}
\int\:_{-\infty\:}^{4}re^{\frac{r}{2}}dr
derivative of x^2+5x-2
\frac{d}{dx}(x^{2}+5x-2)
integral of-cos(2θ)
\int\:-\cos(2θ)dθ
(dy)/(dx)=(x+y)^2+1
\frac{dy}{dx}=(x+y)^{2}+1
integral of-x^2+4
\int\:-x^{2}+4dx
(d^3)/(dx^3)(cos(x))
\frac{d^{3}}{dx^{3}}(\cos(x))
integral of x^7sin(x^4)
\int\:x^{7}\sin(x^{4})dx
derivative of sqrt(x)^{sqrt(x)}
\frac{d}{dx}(\sqrt{x}^{\sqrt{x}})
integral from 0 to 1 of x+2
\int\:_{0}^{1}x+2dx
y^{''}-y=0,y(0)=3
y^{\prime\:\prime\:}-y=0,y(0)=3
derivative of 2e^x+e^2x
derivative\:2e^{x}+e^{2}x
laplacetransform 3+e^{-0.1t}cos(4t)
laplacetransform\:3+e^{-0.1t}\cos(4t)
integral of 7xcos(6x)
\int\:7x\cos(6x)dx
integral of (3t-2)/(t+1)
\int\:\frac{3t-2}{t+1}dt
integral of (3e^{-x}+2e^{3x})/(e^{2x)}
\int\:\frac{3e^{-x}+2e^{3x}}{e^{2x}}dx
derivative of in(x)
\frac{d}{dx}(in(x))
integral of ((3+x))/(1-x^2)
\int\:\frac{(3+x)}{1-x^{2}}dx
area 2x^3-x^2,0,1
area\:2x^{3}-x^{2},0,1
(dy)/(dt)-2y=y^4
\frac{dy}{dt}-2y=y^{4}
derivative of (x-3(x^2+6))
\frac{d}{dx}((x-3)(x^{2}+6))
derivative of (ln(9x)/(9x))
\frac{d}{dx}(\frac{\ln(9x)}{9x})
derivative of a/x+bx
\frac{d}{dx}(\frac{a}{x}+bx)
slope of (17-13)(178)
slope\:(17-13)(178)
(\partial)/(\partial x)(x/(cos(y)))
\frac{\partial\:}{\partial\:x}(\frac{x}{\cos(y)})
y^'=x^2-6x+14
y^{\prime\:}=x^{2}-6x+14
(dy)/(dx)+3y=4
\frac{dy}{dx}+3y=4
y^'=(x+1)/y
y^{\prime\:}=\frac{x+1}{y}
limit as x approaches infinity of 3x+1/x
\lim\:_{x\to\:\infty\:}(3x+\frac{1}{x})
integral of (2x-1)/(x^3-6x^2+11x-6)
\int\:\frac{2x-1}{x^{3}-6x^{2}+11x-6}dx
limit as x approaches-infinity of-6/x
\lim\:_{x\to\:-\infty\:}(-\frac{6}{x})
derivative of f(x)=csc^7(2x)
derivative\:f(x)=\csc^{7}(2x)
y^'+2y=e^{(4t)}
y^{\prime\:}+2y=e^{(4t)}
integral of (x^2-x)
\int\:(x^{2}-x)dx
derivative of-1.8x^2+14.4x
\frac{d}{dx}(-1.8x^{2}+14.4x)
(\partial)/(\partial x)(-4(x+y^6))
\frac{\partial\:}{\partial\:x}(-4(x+y^{6}))
tangent of (2y+1)^3-24x=-3,(-1,-2)
tangent\:(2y+1)^{3}-24x=-3,(-1,-2)
(\partial)/(\partial x)(5(x-3)^2)
\frac{\partial\:}{\partial\:x}(5(x-3)^{2})
(dy)/(dx)+2xy^4=0
\frac{dy}{dx}+2xy^{4}=0
derivative of 1/(6+x)
\frac{d}{dx}(\frac{1}{6+x})
(1+x^2)dy+(1+y^2)dx=0
(1+x^{2})dy+(1+y^{2})dx=0
integral of (ln(x)-ln(xy))
\int\:(\ln(x)-\ln(xy))dx
limit as x approaches infinity of ix
\lim\:_{x\to\:\infty\:}(ix)
derivative of 4x^3-5x^2+4x-1
\frac{d}{dx}(4x^{3}-5x^{2}+4x-1)
limit as x approaches-infinity of (19)/(20+(1/x))
\lim\:_{x\to\:-\infty\:}(\frac{19}{20+(\frac{1}{x})})
integral from 2 to 4 of xe^{x/2}
\int\:_{2}^{4}xe^{\frac{x}{2}}dx
derivative of f(x)= 1/(sqrt(2x-1))
derivative\:f(x)=\frac{1}{\sqrt{2x-1}}
integral of (28)/(28+e^x)
\int\:\frac{28}{28+e^{x}}dx
2x(dy)/(dx)+y=6x
2x\frac{dy}{dx}+y=6x
limit as x approaches 3+of 6+x
\lim\:_{x\to\:3+}(6+x)
tangent of y= 6/(x^2),(1,6)
tangent\:y=\frac{6}{x^{2}},(1,6)
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