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Popular Calculus Problems
(\partial)/(\partial x)(9x+16|y|)
\frac{\partial\:}{\partial\:x}(9x+16\left|y\right|)
integral of 1/((x(sqrt((4x^2-9)))))
\int\:\frac{1}{(x(\sqrt{(4x^{2}-9)}))}dx
limit as x approaches 5 of 2x-7
\lim\:_{x\to\:5}(2x-7)
integral of 1/pi xcos(nx)
\int\:\frac{1}{π}x\cos(nx)dx
limit as x approaches-4 of 4/(x+4)
\lim\:_{x\to\:-4}(\frac{4}{x+4})
(\partial)/(\partial x)(3x^2+xy^3-2y^2+3)
\frac{\partial\:}{\partial\:x}(3x^{2}+xy^{3}-2y^{2}+3)
tangent of y=tan(x),\at x=-(7pi)/4
tangent\:y=\tan(x),\at\:x=-\frac{7π}{4}
integral of (cos(x))/(3+sin(x))
\int\:\frac{\cos(x)}{3+\sin(x)}dx
(\partial)/(\partial y)(4(x-y)e^{4y+5x^2})
\frac{\partial\:}{\partial\:y}(4(x-y)e^{4y+5x^{2}})
limit as x approaches a of (f(x))^{g(x)}
\lim\:_{x\to\:a}((f(x))^{g(x)})
integral of sin(8x)cos(2x)
\int\:\sin(8x)\cos(2x)dx
x^{''}+5x=0
x^{\prime\:\prime\:}+5x=0
derivative of x^2sin(x)tan(x)
derivative\:x^{2}\sin(x)\tan(x)
derivative of y= 1/27 (9x^2+6)^{3/2}
derivative\:y=\frac{1}{27}(9x^{2}+6)^{\frac{3}{2}}
derivative of tan(2/x)
\frac{d}{dx}(\tan(\frac{2}{x}))
integral of (x-6)/(x^2-16x+65)
\int\:\frac{x-6}{x^{2}-16x+65}dx
integral of y/((y+1))
\int\:\frac{y}{(y+1)}dy
integral of 2sin^3(x)cos(x)
\int\:2\sin^{3}(x)\cos(x)dx
integral of e^{t^2}
\int\:e^{t^{2}}dt
inverse oflaplace (e^{-3s})/(s-3)
inverselaplace\:\frac{e^{-3s}}{s-3}
integral of (4x^2)/((1-8x^3)^4)
\int\:\frac{4x^{2}}{(1-8x^{3})^{4}}dx
y^'-y/x =1
y^{\prime\:}-\frac{y}{x}=1
integral of (sqrt(x))/(sqrt(a-x))
\int\:\frac{\sqrt{x}}{\sqrt{a-x}}dx
slope of (x-2y)^3=2y^2-3
slope\:(x-2y)^{3}=2y^{2}-3
implicit (dy)/(dx),sqrt(x)+sqrt(y)=sqrt(9)
implicit\:\frac{dy}{dx},\sqrt{x}+\sqrt{y}=\sqrt{9}
derivative of ln(e^x)
derivative\:\ln(e^{x})
derivative of 3e^x+8/(\sqrt[3]{x})
\frac{d}{dx}(3e^{x}+\frac{8}{\sqrt[3]{x}})
integral of sqrt(1+e^{2t)}
\int\:\sqrt{1+e^{2t}}dt
integral from 0 to 1 of pi(sqrt(x))^2
\int\:_{0}^{1}π(\sqrt{x})^{2}dx
derivative of (x^2+1/(x^2)^5)
\frac{d}{dx}((x^{2}+\frac{1}{x^{2}})^{5})
tangent of f(x)=3e^x+x,\at x=0
tangent\:f(x)=3e^{x}+x,\at\:x=0
derivative of y= 1/x+1/(x^2)+1/(x^3)
derivative\:y=\frac{1}{x}+\frac{1}{x^{2}}+\frac{1}{x^{3}}
integral of-x/1
\int\:-\frac{x}{1}dx
y^{''}-3y^'+2y=e^{3x}(1+x)
y^{\prime\:\prime\:}-3y^{\prime\:}+2y=e^{3x}(1+x)
derivative of y=4^x(2x^4)
derivative\:y=4^{x}(2x^{4})
derivative of 3(e^x+e^xx)
derivative\:3(e^{x}+e^{x}x)
d/(dθ)(6cos(θ)+8sin(θ))
\frac{d}{dθ}(6\cos(θ)+8\sin(θ))
(dy}{dx}=\frac{(2xsec(y/x)+y))/x
\frac{dy}{dx}=\frac{(2x\sec(\frac{y}{x})+y)}{x}
(dy)/(dx)+(8y)/(x+2)=(x+2)^6
\frac{dy}{dx}+\frac{8y}{x+2}=(x+2)^{6}
derivative of \sqrt[3]{tan(x+e^{2x}})
\frac{d}{dx}(\sqrt[3]{\tan(x)+e^{2x}})
integral from 0 to 3 of 4x
\int\:_{0}^{3}4xdx
limit as x approaches-1 of (x^2+x)/(x+1)
\lim\:_{x\to\:-1}(\frac{x^{2}+x}{x+1})
(2x+y)dx+(x-2y)dy=0
(2x+y)dx+(x-2y)dy=0
(ln(e^x))^'
(\ln(e^{x}))^{\prime\:}
f(x)=4x^2ln(4x)
f(x)=4x^{2}\ln(4x)
derivative of 2x-5y+3
\frac{d}{dx}(2x-5y+3)
(dy)/(dx)=e^{6x+5y}
\frac{dy}{dx}=e^{6x+5y}
derivative of f(x)=sqrt(3+\sqrt{7x)}
derivative\:f(x)=\sqrt{3+\sqrt{7x}}
tangent of f(x)=x^2+3,(4,19)
tangent\:f(x)=x^{2}+3,(4,19)
e^{2x}sin(2y)dx+(2-e^{2x})sec(2y)dy=0
e^{2x}\sin(2y)dx+(2-e^{2x})\sec(2y)dy=0
(\partial)/(\partial x)((ln(2x^2+5))/(y^2))
\frac{\partial\:}{\partial\:x}(\frac{\ln(2x^{2}+5)}{y^{2}})
(\partial}{\partial y}(\frac{y^2)/2)
\frac{\partial\:}{\partial\:y}(\frac{y^{2}}{2})
derivative of (x^5/(1-x^4))
\frac{d}{dx}(\frac{x^{5}}{1-x^{4}})
derivative of (x^2+2^3)
\frac{d}{dx}((x^{2}+2)^{3})
limit as x approaches infinity of 5-(-3)
\lim\:_{x\to\:\infty\:}(5-(-3))
integral of 1/((3-4x))
\int\:\frac{1}{(3-4x)}dx
integral of 10x^4+20x+8
\int\:10x^{4}+20x+8dx
limit as h approaches 0 of ((1+h)^4-1)/h
\lim\:_{h\to\:0}(\frac{(1+h)^{4}-1}{h})
integral of (x^2)/(sqrt(64+x^2))
\int\:\frac{x^{2}}{\sqrt{64+x^{2}}}dx
derivative of log_{e}(2x)
\frac{d}{dx}(\log_{e}(2x))
integral of-3/(x^2)+11-4^x
\int\:-\frac{3}{x^{2}}+11-4^{x}dx
limit as x approaches-pi+of csc(x)
\lim\:_{x\to\:-π+}(\csc(x))
derivative of (4x-x^2)^3
derivative\:(4x-x^{2})^{3}
limit as x approaches-infinity of e^x+2
\lim\:_{x\to\:-\infty\:}(e^{x}+2)
integral of y^2e^{2y}
\int\:y^{2}e^{2y}dy
sum from n=1 to infinity of (-7/9)^n
\sum\:_{n=1}^{\infty\:}(-\frac{7}{9})^{n}
t^2(dx)/(dt)= 1/(x^2),x(4)=9
t^{2}\frac{dx}{dt}=\frac{1}{x^{2}},x(4)=9
integral of sin^2(u)
\int\:\sin^{2}(u)du
(\partial)/(\partial z)(x*y^2*e^z)
\frac{\partial\:}{\partial\:z}(x\cdot\:y^{2}\cdot\:e^{z})
derivative of 3x^2+6x+cos(x)
\frac{d}{dx}(3x^{2}+6x+\cos(x))
f(x)= 7/x
f(x)=\frac{7}{x}
limit as x approaches infinity of-1+1/x
\lim\:_{x\to\:\infty\:}(-1+\frac{1}{x})
y^'=sqrt(tan(x))(sec(x))^4
y^{\prime\:}=\sqrt{\tan(x)}(\sec(x))^{4}
sum from n=1 to infinity of 7^{n+1}
\sum\:_{n=1}^{\infty\:}7^{n+1}
integral of x^3e^{7x}
\int\:x^{3}e^{7x}dx
derivative of x/(1+(1.5574+5.21x^2^2))
\frac{d}{dx}(\frac{x}{1+(1.5574+5.21x^{2})^{2}})
limit as x approaches 0+of e^{-1/x}
\lim\:_{x\to\:0+}(e^{-\frac{1}{x}})
y^'-3y=6,y(0)=1
y^{\prime\:}-3y=6,y(0)=1
integral of e^{ax}x
\int\:e^{ax}xdx
sum from n=1 to infinity of n*x^{n-1}
\sum\:_{n=1}^{\infty\:}n\cdot\:x^{n-1}
derivative of 1/(xsqrt(1-x^2))
\frac{d}{dx}(\frac{1}{x\sqrt{1-x^{2}}})
derivative of 5{g}(x(2x^3)+2/(x^2))
\frac{d}{dx}(5{g}(x)(2x^{3})+\frac{2}{x^{2}})
y^'-4/x y=x^4e^x
y^{\prime\:}-\frac{4}{x}y=x^{4}e^{x}
integral from 0 to 3 of e^{-2x}
\int\:_{0}^{3}e^{-2x}dx
f(x)=(sin(x^2))/(ln(2x+8))
f(x)=\frac{\sin(x^{2})}{\ln(2x+8)}
d/(dn)(ln(n^5+5n))
\frac{d}{dn}(\ln(n^{5}+5n))
integral from 0 to 3 of 3/(x(x-3))
\int\:_{0}^{3}\frac{3}{x(x-3)}dx
slope of (7,-2),(9,4)
slope\:(7,-2),(9,4)
integral of (1-ln(x))/x
\int\:\frac{1-\ln(x)}{x}dx
integral of (t^4+5t^3+4)
\int\:(t^{4}+5t^{3}+4)dt
(\partial)/(\partial x)(sin(-2x)cos(2y))
\frac{\partial\:}{\partial\:x}(\sin(-2x)\cos(2y))
(\partial)/(\partial x)(2xye^{-x^2y})
\frac{\partial\:}{\partial\:x}(2xye^{-x^{2}y})
tangent of f(x)=e^x*cos(x),\at x=0
tangent\:f(x)=e^{x}\cdot\:\cos(x),\at\:x=0
integral of z^m
\int\:z^{m}dz
maclaurin 1/(1-x),0
maclaurin\:\frac{1}{1-x},0
integral of x/(sqrt(1-x))
\int\:\frac{x}{\sqrt{1-x}}dx
y^'+y=x
y^{\prime\:}+y=x
integral of (x+5)/(sqrt(4-(x-2)^2))
\int\:\frac{x+5}{\sqrt{4-(x-2)^{2}}}dx
integral of sin^2(9x)cos^2(9x)
\int\:\sin^{2}(9x)\cos^{2}(9x)dx
integral of 4/15 x^{5/2}+6cos(x)+Cx+D
\int\:\frac{4}{15}x^{\frac{5}{2}}+6\cos(x)+Cx+Ddx
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