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Popular Calculus Problems
integral of (cos(pi/(x^9)))/(x^{10)}
\int\:\frac{\cos(\frac{π}{x^{9}})}{x^{10}}dx
integral from 1 to 2 of tsqrt(t-1)
\int\:_{1}^{2}t\sqrt{t-1}dt
limit as x approaches c of 27/18
\lim\:_{x\to\:c}(\frac{27}{18})
maclaurin e^{6x}
maclaurin\:e^{6x}
(\partial)/(\partial x)(((3x+8))/(4y+1))
\frac{\partial\:}{\partial\:x}(\frac{(3x+8)}{4y+1})
integral from 0 to 1 of (6x+1)
\int\:_{0}^{1}(6x+1)dx
integral of 3x(cos(4x))
\int\:3x(\cos(4x))dx
integral of cos(x^4+2)
\int\:\cos(x^{4}+2)dx
(dy)/(dx)= y/(10)(500-y)
\frac{dy}{dx}=\frac{y}{10}(500-y)
(\partial)/(\partial x)(-sin(x^2y)*2xy)
\frac{\partial\:}{\partial\:x}(-\sin(x^{2}y)\cdot\:2xy)
integral of x/(sqrt(1+4x^2))
\int\:\frac{x}{\sqrt{1+4x^{2}}}dx
derivative of (x^2/(2x+3))
\frac{d}{dx}(\frac{x^{2}}{2x+3})
integral from 0 to 1 of (65)/(x^5)
\int\:_{0}^{1}\frac{65}{x^{5}}dx
y^'+4xy=0
y^{\prime\:}+4xy=0
integral of 4(2x+5)^3
\int\:4(2x+5)^{3}dx
taylor sqrt(1-x^2),x=0
taylor\:\sqrt{1-x^{2}},x=0
derivative of (x^2/(3+8x))
\frac{d}{dx}(\frac{x^{2}}{3+8x})
x*y^'+y^2=0
x\cdot\:y^{\prime\:}+y^{2}=0
integral of sqrt(5+4x-x^2)
\int\:\sqrt{5+4x-x^{2}}dx
integral of 6/(x^6)
\int\:\frac{6}{x^{6}}dx
derivative of 1-4/(x^2)
\frac{d}{dx}(1-\frac{4}{x^{2}})
sum from n=1 to infinity of 2^nx^{n-1}
\sum\:_{n=1}^{\infty\:}2^{n}x^{n-1}
(4/3 pir^3)^'
(\frac{4}{3}πr^{3})^{\prime\:}
integral of-(x-1)^2
\int\:-(x-1)^{2}dx
derivative of f(x)=x^2e^{6x}
derivative\:f(x)=x^{2}e^{6x}
derivative of cos(x-4tan(x))
\frac{d}{dx}(\cos(x)-4\tan(x))
derivative of xarctan(x)
\frac{d}{dx}(x\arctan(x))
2y^{''}-y^'+3y=0
2y^{\prime\:\prime\:}-y^{\prime\:}+3y=0
x^2y^{''}-14xy^'+56y=0
x^{2}y^{\prime\:\prime\:}-14xy^{\prime\:}+56y=0
(dy)/(dx)=e^y(2x^3-4x)
\frac{dy}{dx}=e^{y}(2x^{3}-4x)
integral of ((x^3+2x^2-4)/(x^2))
\int\:(\frac{x^{3}+2x^{2}-4}{x^{2}})dx
integral from 1 to 2 of sqrt(x-1)
\int\:_{1}^{2}\sqrt{x-1}dx
inverse oflaplace (3s)/((s^2+4))
inverselaplace\:\frac{3s}{(s^{2}+4)}
y^{''''}+2y^{''}+y=0
y^{\prime\:\prime\:\prime\:\prime\:}+2y^{\prime\:\prime\:}+y=0
derivative of ((10/(4+x))^{1/2})
\frac{d}{dx}((\frac{10}{4+x})^{\frac{1}{2}})
derivative of-1/4 x^4+6x^2
derivative\:-\frac{1}{4}x^{4}+6x^{2}
derivative of (x^4/(12))
\frac{d}{dx}(\frac{x^{4}}{12})
derivative of f(x)=4x^2sin(x)+2x
derivative\:f(x)=4x^{2}\sin(x)+2x
derivative of cos((1-e^{6x})/(1+e^{6x)})
derivative\:\cos(\frac{1-e^{6x}}{1+e^{6x}})
slope of (-9,3),(7,-7)
slope\:(-9,3),(7,-7)
derivative of cos(e^{cot(x^2}))
\frac{d}{dx}(\cos(e^{\cot(x^{2})}))
(\partial)/(\partial x)(x^2+1)
\frac{\partial\:}{\partial\:x}(x^{2}+1)
integral of-x^2sin(y)
\int\:-x^{2}\sin(y)dy
derivative of (arccot(x)^5)
\frac{d}{dx}((\arccot(x))^{5})
integral of (-1)/(y^2+1)
\int\:\frac{-1}{y^{2}+1}dy
y^{''}+2y=sin(sqrt(2)t),y(0)=0,y^'(0)=0
y^{\prime\:\prime\:}+2y=\sin(\sqrt{2}t),y(0)=0,y^{\prime\:}(0)=0
integral of 1/(sec(x)+tan(x))
\int\:\frac{1}{\sec(x)+\tan(x)}dx
inverse oflaplace 1/(s^3+8s^2+12s)
inverselaplace\:\frac{1}{s^{3}+8s^{2}+12s}
derivative of 2x^{-3x}
\frac{d}{dx}(2x^{-3x})
derivative of f(x)=4x^{4/3}-2/3 x^{3/2}+x^2-4x+1
derivative\:f(x)=4x^{\frac{4}{3}}-\frac{2}{3}x^{\frac{3}{2}}+x^{2}-4x+1
sum from n=0 to infinity of 2*0.2^n
\sum\:_{n=0}^{\infty\:}2\cdot\:0.2^{n}
limit as x approaches 0 of (5^{x+1}-5)/x
\lim\:_{x\to\:0}(\frac{5^{x+1}-5}{x})
integral from 0 to infinity of 8sin^2(x)
\int\:_{0}^{\infty\:}8\sin^{2}(x)dx
integral of arctan(x
\int\:\arctan(d)xdx
d/(dθ)(2/(1-sin(θ)))
\frac{d}{dθ}(\frac{2}{1-\sin(θ)})
limit as x approaches 5 of x^2+5x+8
\lim\:_{x\to\:5}(x^{2}+5x+8)
maclaurin x/(1+4x^2)
maclaurin\:\frac{x}{1+4x^{2}}
derivative of sqrt(e^xsin(x))
\frac{d}{dx}(\sqrt{e^{x}\sin(x)})
tangent of y=sin(9x)+sin^2(9x),(0,0)
tangent\:y=\sin(9x)+\sin^{2}(9x),(0,0)
(dy)/(dx)+x^2sec(y)=0,y(0)=1
\frac{dy}{dx}+x^{2}\sec(y)=0,y(0)=1
derivative of sqrt(3-8x)
\frac{d}{dx}(\sqrt{3-8x})
integral of (2x^2+x+3)/((x+1)(x^2+1))
\int\:\frac{2x^{2}+x+3}{(x+1)(x^{2}+1)}dx
derivative of 4^{-x^8}
derivative\:4^{-x^{8}}
integral of 2sin^2(x)
\int\:2\sin^{2}(x)dx
x^3+y^2sqrt(x^4+4)y^'=0
x^{3}+y^{2}\sqrt{x^{4}+4}y^{\prime\:}=0
integral from 0 to x of (e^{-t^2})
\int\:_{0}^{x}(e^{-t^{2}})dt
xsqrt(1+y^2)dx=ysqrt(1+x^2)dy
x\sqrt{1+y^{2}}dx=y\sqrt{1+x^{2}}dy
derivative of ({f}(x)/({g)(x)-2})
\frac{d}{dx}(\frac{{f}(x)}{{g}(x)-2})
implicit (dy)/(dx),3xy+1=0
implicit\:\frac{dy}{dx},3xy+1=0
integral from 0 to 33 of 3(x-1)^{-1/5}
\int\:_{0}^{33}3(x-1)^{-\frac{1}{5}}dx
xy(dy)/(dx)=2y^2-x^2
xy\frac{dy}{dx}=2y^{2}-x^{2}
integral of 5x^{1/2}
\int\:5x^{\frac{1}{2}}dx
(\partial)/(\partial y)((x^2-y^2)/(xy))
\frac{\partial\:}{\partial\:y}(\frac{x^{2}-y^{2}}{xy})
integral of (2x)/(sqrt(x^2+5))
\int\:\frac{2x}{\sqrt{x^{2}+5}}dx
tangent of f(x)=x-x^3
tangent\:f(x)=x-x^{3}
integral of ln(y)+4xy^3
\int\:\ln(y)+4xy^{3}dx
derivative of 4x-x^2y+y^3
\frac{d}{dx}(4x-x^{2}y+y^{3})
inverse oflaplace (s+3)/(s^2+4s+5)
inverselaplace\:\frac{s+3}{s^{2}+4s+5}
integral of (11)/(2xsqrt(4x^2-16))
\int\:\frac{11}{2x\sqrt{4x^{2}-16}}dx
integral of ((ax+b))/((cx+)
\int\:\frac{(ax+b)}{(cx+d)}dx
derivative of 7/(2x^2)
derivative\:\frac{7}{2x^{2}}
limit as x approaches infinity of arctan(x^6-x^9)
\lim\:_{x\to\:\infty\:}(\arctan(x^{6}-x^{9}))
derivative of y=arctan(3x)
derivative\:y=\arctan(3x)
tangent of f(x)=(3+4x^{1/2})/(2+x^{3/2)}
tangent\:f(x)=\frac{3+4x^{\frac{1}{2}}}{2+x^{\frac{3}{2}}}
integral of (x^2)/((sqrt(5-x^2))^3)
\int\:\frac{x^{2}}{(\sqrt{5-x^{2}})^{3}}dx
sum from n=0 to infinity of cos(pin)
\sum\:_{n=0}^{\infty\:}\cos(πn)
derivative of ln(x^3-2x^2+2)
\frac{d}{dx}(\ln(x^{3}-2x^{2}+2))
integral of sec^4(x)tan^4(x)
\int\:\sec^{4}(x)\tan^{4}(x)dx
derivative of f(x)=(x^3+7x^2+5)^5
derivative\:f(x)=(x^{3}+7x^{2}+5)^{5}
derivative of (x+1^{-1/2})
\frac{d}{dx}((x+1)^{-\frac{1}{2}})
derivative of cos(e^{x^2})
\frac{d}{dx}(\cos(e^{x^{2}}))
integral of (sin(x))/(2x)
\int\:\frac{\sin(x)}{2x}dx
parity ,sqrt(x)
parity\:,\sqrt{x}
derivative of f(1)=9+3/x
derivative\:f(1)=9+\frac{3}{x}
derivative of f(x)=sqrt(3x+8)
derivative\:f(x)=\sqrt{3x+8}
derivative of (4-x^2/(3x-2))
\frac{d}{dx}(\frac{4-x^{2}}{3x-2})
y^'=(-1)/(x^2)
y^{\prime\:}=\frac{-1}{x^{2}}
sum from n=0 to infinity of 1/5*(-2/3)^n
\sum\:_{n=0}^{\infty\:}\frac{1}{5}\cdot\:(-\frac{2}{3})^{n}
tangent of x^2+y^2=25,(-4,3)
tangent\:x^{2}+y^{2}=25,(-4,3)
tangent of f(x)=(4x)/(x^2+3),\at x=1
tangent\:f(x)=\frac{4x}{x^{2}+3},\at\:x=1
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