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Popular Calculus Problems
(\partial}{\partial x}(\frac{x+y+z)/3)
\frac{\partial\:}{\partial\:x}(\frac{x+y+z}{3})
limit as x approaches 2-of 1/x
\lim\:_{x\to\:2-}(\frac{1}{x})
derivative of (2-x/(x^2+4))
\frac{d}{dx}(\frac{2-x}{x^{2}+4})
integral from 0 to 3/2 of sqrt(9-x^2)
\int\:_{0}^{\frac{3}{2}}\sqrt{9-x^{2}}dx
integral of x^2(3x^2+9)^2
\int\:x^{2}(3x^{2}+9)^{2}dx
integral of csc^3(x)cot^3(x)
\int\:\csc^{3}(x)\cot^{3}(x)dx
limit as x approaches infinity of 1/(10^{2^x)}
\lim\:_{x\to\:\infty\:}(\frac{1}{10^{2^{x}}})
d/(dj)(-4i+5j)
\frac{d}{dj}(-4i+5j)
taylor cos(x),x=0
taylor\:\cos(x),x=0
limit as t approaches 0 of 1/t
\lim\:_{t\to\:0}(\frac{1}{t})
limit as x approaches 7-of e^{3/(7-x)}
\lim\:_{x\to\:7-}(e^{\frac{3}{7-x}})
derivative of (2-ln(x)/(2xsqrt(x)))
\frac{d}{dx}(\frac{2-\ln(x)}{2x\sqrt{x}})
laplacetransform cos(2pit)
laplacetransform\:\cos(2πt)
t^2y^{''}-6ty^'+10y=0
t^{2}y^{\prime\:\prime\:}-6ty^{\prime\:}+10y=0
derivative of ln(x^5(x+4^7(x^2+4)^5))
\frac{d}{dx}(\ln(x^{5}(x+4)^{7}(x^{2}+4)^{5}))
integral from 0 to 4 of |sqrt(x+2)-x|
\int\:_{0}^{4}\left|\sqrt{x+2}-x\right|dx
integral of (y^2+16)/y
\int\:\frac{y^{2}+16}{y}dy
derivative of ln((x^3-2x/(4+x)))
\frac{d}{dx}(\ln(\frac{x^{3}-2x}{4+x}))
derivative of f(x)=(2x+1)/(x+2)
derivative\:f(x)=\frac{2x+1}{x+2}
derivative of (sqrt(x)/2)
\frac{d}{dx}(\frac{\sqrt{x}}{2})
11x-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=9
11x-6y\sqrt{x^{2}+1}\frac{dy}{dx}=0,y(0)=9
derivative of y=(2/((2x-6) 3/2))
derivative\:y=(\frac{2}{(2x-6)\frac{3}{2}})
tangent of-sin(x/2)
tangent\:-\sin(\frac{x}{2})
limit as x approaches-1 of 10x(14x-3)
\lim\:_{x\to\:-1}(10x(14x-3))
integral of ((arctan(x))^5)/(1+x^2)
\int\:\frac{(\arctan(x))^{5}}{1+x^{2}}dx
integral of (x^4+1)/(x^3+x^2)
\int\:\frac{x^{4}+1}{x^{3}+x^{2}}dx
(\partial)/(\partial y)(tan(1+2x^2y^4z^2))
\frac{\partial\:}{\partial\:y}(\tan(1+2x^{2}y^{4}z^{2}))
derivative of f(x)=3sin(x)+ln(5x)
derivative\:f(x)=3\sin(x)+\ln(5x)
integral from-2 to 2 of sqrt(4-x^2)
\int\:_{-2}^{2}\sqrt{4-x^{2}}dx
limit as x approaches 2 of e^{1/(2-x)}
\lim\:_{x\to\:2}(e^{\frac{1}{2-x}})
tangent of y=2+1/x ,(2,2.5)
tangent\:y=2+\frac{1}{x},(2,2.5)
integral of csc^8(x)
\int\:\csc^{8}(x)dx
integral of sin(x)-1/3 sin^3(x)
\int\:\sin(x)-\frac{1}{3}\sin^{3}(x)dx
integral of 10e^{-30t}sin(40t)
\int\:10e^{-30t}\sin(40t)dt
derivative of 2pisqrt(x/({g(x))})
\frac{d}{dx}(2π\sqrt{\frac{x}{{g}(x)}})
y^'-2y=x
y^{\prime\:}-2y=x
(\partial)/(\partial x)(log_{3}(7^{x^2-4}))
\frac{\partial\:}{\partial\:x}(\log_{3}(7^{x^{2}-4}))
integral from 0 to 5 of (5x^2-x^3)
\int\:_{0}^{5}(5x^{2}-x^{3})dx
integral of 5/(4-3x)
\int\:\frac{5}{4-3x}dx
integral of (ln(x))^2 1/(x^2)
\int\:(\ln(x))^{2}\frac{1}{x^{2}}dx
(\partial)/(\partial x)(sin(5xy+4yz+7xz))
\frac{\partial\:}{\partial\:x}(\sin(5xy+4yz+7xz))
tangent of f(x)=(-8x)/(x^2+1),(0,0)
tangent\:f(x)=\frac{-8x}{x^{2}+1},(0,0)
integral from 2 to 5 of sqrt(x)
\int\:_{2}^{5}\sqrt{x}dx
integral of e^{-1/2 z^2}
\int\:e^{-\frac{1}{2}z^{2}}
(dx)/(dt)=0.6-(5x)/(1000+t)
\frac{dx}{dt}=0.6-\frac{5x}{1000+t}
derivative of y=ln(sqrt(x+4))
derivative\:y=\ln(\sqrt{x+4})
limit as x approaches 0 of |e^x-1|
\lim\:_{x\to\:0}(\left|e^{x}-1\right|)
integral of sqrt(1+9x)
\int\:\sqrt{1+9x}dx
xy^{''}+2y^'=16x^2
xy^{\prime\:\prime\:}+2y^{\prime\:}=16x^{2}
integral from 0 to N of e^{(-st)}e^{-5t}
\int\:_{0}^{N}e^{(-st)}e^{-5t}dt
derivative of 2000+530(ln(x))
derivative\:2000+530(\ln(x))
integral from 1 to 16 of sqrt(t)ln(t)
\int\:_{1}^{16}\sqrt{t}\ln(t)dt
parity xtan(x)
parity\:x\tan(x)
limit as θ approaches 0 of (1-cos(θ))/θ
\lim\:_{θ\to\:0}(\frac{1-\cos(θ)}{θ})
area y=x^4,y=8x
area\:y=x^{4},y=8x
integral from 1 to 6 of x^2
\int\:_{1}^{6}x^{2}dx
limit as x approaches 0 of (1-x)/(2+x)
\lim\:_{x\to\:0}(\frac{1-x}{2+x})
y^{''}+y=3x
y^{\prime\:\prime\:}+y=3x
tangent of f(x)=sqrt(x+3),(1,2)
tangent\:f(x)=\sqrt{x+3},(1,2)
area f(x)=x^2-3,y=-2x
area\:f(x)=x^{2}-3,y=-2x
integral of cot(36x)
\int\:\cot(36x)dx
area 3(x^3-x),0,0,1
area\:3(x^{3}-x),0,0,1
integral of 1/(x^4-10x^2+9)
\int\:\frac{1}{x^{4}-10x^{2}+9}dx
limit as x approaches 0 of (1-3x)^{4/x}
\lim\:_{x\to\:0}((1-3x)^{\frac{4}{x}})
limit as x approaches infinity of x^2+6x
\lim\:_{x\to\:\infty\:}(x^{2}+6x)
integral from-1 to 1 of |2x-1|
\int\:_{-1}^{1}\left|2x-1\right|dx
derivative of 2tan(cos(3x))
\frac{d}{dx}(2\tan(\cos(3x)))
integral of sin(29x)
\int\:\sin(29x)dx
integral from 0 to ln(4) of (e^x)/(sqrt(e^{2x)+81)}
\int\:_{0}^{\ln(4)}\frac{e^{x}}{\sqrt{e^{2x}+81}}dx
derivative of f(x)=(x^3-6x^2+3)/(x^2)
derivative\:f(x)=\frac{x^{3}-6x^{2}+3}{x^{2}}
integral of tan^3(θ)sec^3(θ)
\int\:\tan^{3}(θ)\sec^{3}(θ)dθ
y^'=-(2x)/((1+x^2))y+1/(x(1+x^2))
y^{\prime\:}=-\frac{2x}{(1+x^{2})}y+\frac{1}{x(1+x^{2})}
integral from-1 to 1 of x^2-x-1
\int\:_{-1}^{1}x^{2}-x-1dx
(4/3)^'
(\frac{4}{3})^{\prime\:}
derivative of ln(5x^2+3y^2)
\frac{d}{dx}(\ln(5x^{2}+3y^{2}))
(1+e^{2x})^'
(1+e^{2x})^{\prime\:}
d/(dy)(y^3+xy^2+y)
\frac{d}{dy}(y^{3}+xy^{2}+y)
limit as x approaches (2pi)/3 of-tan(2x)
\lim\:_{x\to\:\frac{2π}{3}}(-\tan(2x))
derivative of \sqrt[4]{x+1}
\frac{d}{dx}(\sqrt[4]{x+1})
y^'+2/(200+t)y=3
y^{\prime\:}+\frac{2}{200+t}y=3
derivative of (x-4)(x+5)(x+4)
derivative\:(x-4)(x+5)(x+4)
(\partial)/(\partial x)(6y^7x^5-5y^6x^4)
\frac{\partial\:}{\partial\:x}(6y^{7}x^{5}-5y^{6}x^{4})
integral of (18)/(sqrt(1-x^2))
\int\:\frac{18}{\sqrt{1-x^{2}}}dx
integral of (cos^3(3x))/(sin^5(3x))
\int\:\frac{\cos^{3}(3x)}{\sin^{5}(3x)}dx
integral of-1/(2-x)
\int\:-\frac{1}{2-x}dx
derivative of f(x)=cot^5(x)
derivative\:f(x)=\cot^{5}(x)
(x^2-y^2)dx+xydy=0
(x^{2}-y^{2})dx+xydy=0
integral from 7 to 13 of y/(y^2-3y-4)
\int\:_{7}^{13}\frac{y}{y^{2}-3y-4}dy
f^{'''}(x)=6(x^{-2})
f^{\prime\:\prime\:\prime\:}(x)=6(x^{-2})
inverse oflaplace (s+10)/(s^2-s-2)
inverselaplace\:\frac{s+10}{s^{2}-s-2}
integral from 2 to 4 of (2/x+3x)^2
\int\:_{2}^{4}(\frac{2}{x}+3x)^{2}dx
integral of e^x-e^{2x}
\int\:e^{x}-e^{2x}dx
inverse oflaplace 1/(s-2)
inverselaplace\:\frac{1}{s-2}
derivative of sin(3x^5+5x^4)
derivative\:\sin(3x^{5}+5x^{4})
x(dy)/(dx)+y/(x+1)=x(x+1)
x\frac{dy}{dx}+\frac{y}{x+1}=x(x+1)
limit as x approaches-1 of (x^{100})/1
\lim\:_{x\to\:-1}(\frac{x^{100}}{1})
integral of sin^2((npix)/L)
\int\:\sin^{2}(\frac{nπx}{L})dx
derivative of 1-(x+1e^{-x})
\frac{d}{dx}(1-(x+1)e^{-x})
integral of (2x^5)/(sqrt(1-6x^6))
\int\:\frac{2x^{5}}{\sqrt{1-6x^{6}}}dx
f(x)=sin(sqrt(x))
f(x)=\sin(\sqrt{x})
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