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Popular Calculus Problems
d/(dy)(sqrt(1-y^2))
\frac{d}{dy}(\sqrt{1-y^{2}})
sum from n=0 to infinity of (-4/9)^n
\sum\:_{n=0}^{\infty\:}(-\frac{4}{9})^{n}
area y=x^{1/2},x=0,x=1
area\:y=x^{\frac{1}{2}},x=0,x=1
sum from n=1 to infinity of 5/(e^{2n)}
\sum\:_{n=1}^{\infty\:}\frac{5}{e^{2n}}
derivative of (xy)/(x+y)
derivative\:\frac{xy}{x+y}
integral of+x^2*+sin(x)
\int\:+x^{2}\cdot\:+\sin(x)dx
x^{''}-3x^'=e^{3t}
x^{\prime\:\prime\:}-3x^{\prime\:}=e^{3t}
area 2cos(x),4-2cos(x)
area\:2\cos(x),4-2\cos(x)
integral of sin(yz)
\int\:\sin(yz)dy
derivative of ln^2(sqrt(x))
\frac{d}{dx}(\ln^{2}(\sqrt{x}))
derivative of f(x)=-7/(x^8)
derivative\:f(x)=-\frac{7}{x^{8}}
derivative of (x+y^3)
\frac{d}{dx}((x+y)^{3})
derivative of (x^3-8^{2/3})
\frac{d}{dx}((x^{3}-8)^{\frac{2}{3}})
derivative of sqrt(2-6x)
derivative\:\sqrt{2-6x}
limit as x approaches 2+of x^2-1
\lim\:_{x\to\:2+}(x^{2}-1)
derivative of sin^2(3x+1)
\frac{d}{dx}(\sin^{2}(3x+1))
limit as x approaches 3 of (x-3)ln(x-3)
\lim\:_{x\to\:3}((x-3)\ln(x-3))
integral of e^{-x/(yln(2))}
\int\:e^{-\frac{x}{y\ln(2)}}dx
integral of ((5x^3-3)/x)
\int\:(\frac{5x^{3}-3}{x})dx
inverse oflaplace (8.75)/(S+2/3)
inverselaplace\:\frac{8.75}{S+\frac{2}{3}}
derivative of (2x+5/(x^2+5x))
\frac{d}{dx}(\frac{2x+5}{x^{2}+5x})
integral of (11)/((t^2+1)^{3/2)}
\int\:\frac{11}{(t^{2}+1)^{\frac{3}{2}}}dt
derivative of (x^{(2})/(sin(x)))
\frac{d}{dx}(\frac{x^{(2)}}{\sin(x)})
tangent of f(x)=3^x,\at x=1
tangent\:f(x)=3^{x},\at\:x=1
integral from 1 to e of (2x-3x^3)/(x^2)
\int\:_{1}^{e}\frac{2x-3x^{3}}{x^{2}}dx
derivative of f(x)=x^2+4x
derivative\:f(x)=x^{2}+4x
derivative of f(x)=2x-cot^2(x)
derivative\:f(x)=2x-\cot^{2}(x)
derivative of y= 1/(x+1)
derivative\:y=\frac{1}{x+1}
tangent of f(x)=1260-16x^2,\at x=3
tangent\:f(x)=1260-16x^{2},\at\:x=3
derivative of f(x)=x^{19/9}+x^{10/9}
derivative\:f(x)=x^{\frac{19}{9}}+x^{\frac{10}{9}}
integral of xz
\int\:xzdy
(\partial)/(\partial x)((x-y)/(x+y))
\frac{\partial\:}{\partial\:x}(\frac{x-y}{x+y})
derivative of 15x^4-15x^2
\frac{d}{dx}(15x^{4}-15x^{2})
derivative of (u^2+u)^3
derivative\:(u^{2}+u)^{3}
derivative of csc(sqrt(3x))cot(sqrt(3x))
derivative\:\csc(\sqrt{3x})\cot(\sqrt{3x})
integral of sin^3(x)sin(2x)
\int\:\sin^{3}(x)\sin(2x)dx
tangent of y=2x^3+3x^2-12x+4
tangent\:y=2x^{3}+3x^{2}-12x+4
limit as x approaches-2-of 1/((x+2)^2)
\lim\:_{x\to\:-2-}(\frac{1}{(x+2)^{2}})
limit as x approaches 3 of (4x+2)/(x+4)
\lim\:_{x\to\:3}(\frac{4x+2}{x+4})
limit as x approaches 0 of 3x-1
\lim\:_{x\to\:0}(3x-1)
integral of x^2sin(6x)
\int\:x^{2}\sin(6x)dx
limit as t approaches-infinity of e^t
\lim\:_{t\to\:-\infty\:}(e^{t})
derivative of sqrt((x(a-x^2)/(3a)))
\frac{d}{dx}(\sqrt{\frac{x(a-x)^{2}}{3a}})
derivative of (5(1-4ln(x)))/(2x^5)
derivative\:\frac{5(1-4\ln(x))}{2x^{5}}
integral of sin^4(5θ)cos^5(5θ)
\int\:\sin^{4}(5θ)\cos^{5}(5θ)dθ
taylor f(x)=sin(x)
taylor\:f(x)=\sin(x)
implicit (dy)/(dx),(x-1)^2+(y+4)^2=25
implicit\:\frac{dy}{dx},(x-1)^{2}+(y+4)^{2}=25
y^'-y=2xe^{2x},y(0)=1
y^{\prime\:}-y=2xe^{2x},y(0)=1
simplify f(4)
simplify\:f(4)
derivative of (8x^2+2x+2)/(sqrt(x))
derivative\:\frac{8x^{2}+2x+2}{\sqrt{x}}
integral of x7^{x^2}
\int\:x7^{x^{2}}dx
y^{''}+14*2y^'+49y=0,y(0)=0,y^'(0)=1
y^{\prime\:\prime\:}+14\cdot\:2y^{\prime\:}+49y=0,y(0)=0,y^{\prime\:}(0)=1
integral of (8/(sqrt(x)))
\int\:(\frac{8}{\sqrt{x}})dx
limit as x approaches 3-of f(x)
\lim\:_{x\to\:3-}(f(x))
area-x^2,3x-10,x=0
area\:-x^{2},3x-10,x=0
derivative of (e^x)/(8x^2)
derivative\:\frac{e^{x}}{8x^{2}}
integral of (10)/(x^9)
\int\:\frac{10}{x^{9}}dx
tangent of f(x)=x^4-13^2+36,\at x=-2
tangent\:f(x)=x^{4}-13^{2}+36,\at\:x=-2
derivative of arcsin(y/x)
\frac{d}{dx}(\arcsin(\frac{y}{x}))
(\partial)/(\partial x)(xye^{x+2y})
\frac{\partial\:}{\partial\:x}(xye^{x+2y})
derivative of sqrt(2x-1/(x^2))
\frac{d}{dx}(\sqrt{2x-\frac{1}{x^{2}}})
implicit (dy)/(dt),y=e^t
implicit\:\frac{dy}{dt},y=e^{t}
integral of sin^5(x)
\int\:\sin^{5}(x)dx
integral of sqrt(sec^2(x))
\int\:\sqrt{\sec^{2}(x)}dx
(dy)/(dx)=(y+2)/(x+7)
\frac{dy}{dx}=\frac{y+2}{x+7}
derivative of f(x)=(-3x+1)/(x^2-x)
derivative\:f(x)=\frac{-3x+1}{x^{2}-x}
derivative of y=(ln(x))/(x^5)
derivative\:y=\frac{\ln(x)}{x^{5}}
integral of (e^{3sqrt(t)})/(sqrt(t))
\int\:\frac{e^{3\sqrt{t}}}{\sqrt{t}}dt
integral of in(x)
\int\:in(x)dx
sum from n=1 to infinity of 1/((2n-1)^5)
\sum\:_{n=1}^{\infty\:}\frac{1}{(2n-1)^{5}}
derivative of 4x^5-5x^4
\frac{d}{dx}(4x^{5}-5x^{4})
tangent of f(x)=(x^2-1)/(x^2+1),\at x=0
tangent\:f(x)=\frac{x^{2}-1}{x^{2}+1},\at\:x=0
(\partial)/(\partial x)(-4cos(2x))
\frac{\partial\:}{\partial\:x}(-4\cos(2x))
(d^2y)/(dx^2)-4y=(x^2-3)sin(2x)
\frac{d^{2}y}{dx^{2}}-4y=(x^{2}-3)\sin(2x)
(dy)/(dx)+xy^3+y/x =0
\frac{dy}{dx}+xy^{3}+\frac{y}{x}=0
derivative of f(x)=7+2x+x^3(5x^2+1)^5
derivative\:f(x)=7+2x+x^{3}(5x^{2}+1)^{5}
integral of-xcos(npix)
\int\:-x\cos(nπx)dx
derivative of f(x)=x^{11}e^x
derivative\:f(x)=x^{11}e^{x}
d/(dθ)(2-sin(θ))
\frac{d}{dθ}(2-\sin(θ))
taylor xe^{-x+1},\at 1
taylor\:xe^{-x+1},\at\:1
tangent of y=(-2x)/(x^2+1),(-1,1)
tangent\:y=\frac{-2x}{x^{2}+1},(-1,1)
limit as x approaches pi of x^2cos(x)
\lim\:_{x\to\:π}(x^{2}\cos(x))
sum from n=0 to infinity of n/2
\sum\:_{n=0}^{\infty\:}\frac{n}{2}
sum from n=2 to infinity of 1/(e^n)
\sum\:_{n=2}^{\infty\:}\frac{1}{e^{n}}
tangent of y= 1/(x+4)
tangent\:y=\frac{1}{x+4}
limit as x approaches 0+of sin((x+1)/x)
\lim\:_{x\to\:0+}(\sin(\frac{x+1}{x}))
integral of 9e^{9x}
\int\:9e^{9x}dx
(\partial)/(\partial x)(8xye^{-x^2-y^2})
\frac{\partial\:}{\partial\:x}(8xye^{-x^{2}-y^{2}})
integral of (3x+1)/(x^2-4x+7)
\int\:\frac{3x+1}{x^{2}-4x+7}dx
integral from 7 to 10 of y/(y^2-3y-4)
\int\:_{7}^{10}\frac{y}{y^{2}-3y-4}dy
limit as x approaches+2 of 4tan(3x-3)
\lim\:_{x\to\:+2}(4\tan(3x-3))
integral from 6 to 9 of 1/(x^2-1)
\int\:_{6}^{9}\frac{1}{x^{2}-1}dx
derivative of 6/(4+sqrt(t))
derivative\:\frac{6}{4+\sqrt{t}}
integral of e^{-sx}sin(ax)
\int\:e^{-sx}\sin(ax)dx
derivative of f(x)=sin(x)ln(6x)
derivative\:f(x)=\sin(x)\ln(6x)
integral of e^{x^1}
\int\:e^{x^{1}}dx
derivative of (2x+5/(3x-2))
\frac{d}{dx}(\frac{2x+5}{3x-2})
integral of sin(x)-2
\int\:\sin(x)-2dx
limit as x approaches 1 of sqrt(x+5)
\lim\:_{x\to\:1}(\sqrt{x+5})
derivative of (3x-1^5(2x+3)^4)
\frac{d}{dx}((3x-1)^{5}(2x+3)^{4})
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