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Popular Calculus Problems
y^{''}+b*y=0
y^{\prime\:\prime\:}+b\cdot\:y=0
integral from 1 to 2 of 6/(x^3+4x)
\int\:_{1}^{2}\frac{6}{x^{3}+4x}dx
limit as x approaches-5 of 2/((x-5)^3)
\lim\:_{x\to\:-5}(\frac{2}{(x-5)^{3}})
y^'+xy-3=0
y^{\prime\:}+xy-3=0
tangent of 50sqrt(x)-5x
tangent\:50\sqrt{x}-5x
laplacetransform 3(d^2x)
laplacetransform\:3(d^{2}x)
sum from n=1 to infinity of n^{-2}
\sum\:_{n=1}^{\infty\:}n^{-2}
(\partial)/(\partial x)(5x^4y^3+2xy)
\frac{\partial\:}{\partial\:x}(5x^{4}y^{3}+2xy)
y^'+t^2y=1
y^{\prime\:}+t^{2}y=1
integral from 0 to infinity of e^{(-x^2)/2}
\int\:_{0}^{\infty\:}e^{\frac{-x^{2}}{2}}dx
integral of 1/(x^2)cos^2(1/x)
\int\:\frac{1}{x^{2}}\cos^{2}(\frac{1}{x})dx
derivative of f(x)=(2sqrt(x))/x
derivative\:f(x)=\frac{2\sqrt{x}}{x}
integral of 7tan^2(xse)c^3x
\int\:7\tan^{2}(xse)c^{3}x
(\partial)/(\partial x)((xy)/(x+y)+z)
\frac{\partial\:}{\partial\:x}(\frac{xy}{x+y}+z)
derivative of ((2x+3^4)/((3x-2)^5))
\frac{d}{dx}(\frac{(2x+3)^{4}}{(3x-2)^{5}})
integral from a to b of arctan(x)
\int\:_{a}^{b}\arctan(x)dx
4y^'-(2/x)y=(-3/2)xy^{5/2}
4y^{\prime\:}-(\frac{2}{x})y=(-\frac{3}{2})xy^{\frac{5}{2}}
limit as x approaches 0 of (sin(x))/(7x)
\lim\:_{x\to\:0}(\frac{\sin(x)}{7x})
integral of (5x^4+7x^2+x+2)/(x(x^2+1)^2)
\int\:\frac{5x^{4}+7x^{2}+x+2}{x(x^{2}+1)^{2}}dx
integral of 1/(xln(x^3))
\int\:\frac{1}{x\ln(x^{3})}dx
(\partial)/(\partial x)(e^{xy}cos(y))
\frac{\partial\:}{\partial\:x}(e^{xy}\cos(y))
(dy)/(dx)=(3y^3)/(x^2),y(3)=1
\frac{dy}{dx}=\frac{3y^{3}}{x^{2}},y(3)=1
(2sin(x))^'
(2\sin(x))^{\prime\:}
slope of (-29,-40),(-28,3)
slope\:(-29,-40),(-28,3)
limit as x approaches-infinity of x^{-5}
\lim\:_{x\to\:-\infty\:}(x^{-5})
integral of (-3x^{-4})
\int\:(-3x^{-4})dx
(\partial)/(\partial x)(1/(1/x+1/y+1/z))
\frac{\partial\:}{\partial\:x}(\frac{1}{\frac{1}{x}+\frac{1}{y}+\frac{1}{z}})
integral of-3/2 x*sin(x)
\int\:-\frac{3}{2}x\cdot\:\sin(x)dx
derivative of sqrt(5-3x^2)
\frac{d}{dx}(\sqrt{5-3x^{2}})
derivative of-(14)/((2+15)^2)
derivative\:-\frac{14}{(2+15)^{2}}
integral of (e^{arctan(x)})/(1+x^2)
\int\:\frac{e^{\arctan(x)}}{1+x^{2}}dx
((3y^2-t^2)/(y^5))(dy)/(dt)+t/(2y^4)=0
(\frac{3y^{2}-t^{2}}{y^{5}})\frac{dy}{dt}+\frac{t}{2y^{4}}=0
(\partial)/(\partial x)(xe^{-y})
\frac{\partial\:}{\partial\:x}(xe^{-y})
integral of (sec(2y)-csc(2y))
\int\:(\sec(2y)-\csc(2y))dy
limit as x approaches-1 of 1
\lim\:_{x\to\:-1}(1)
integral of (x-6)^3
\int\:(x-6)^{3}dx
integral from-3 to 2 of-x^2-2x
\int\:_{-3}^{2}-x^{2}-2xdx
derivative of ln(xy+x-y-1)
\frac{d}{dx}(\ln(xy+x-y-1))
derivative of (a-x)/(a+x)
derivative\:\frac{a-x}{a+x}
limit as x approaches 2 of x^2+2x
\lim\:_{x\to\:2}(x^{2}+2x)
limit as x approaches 0+of 1/(4x^{6/7)}-7/((x-6^{6/7))}
\lim\:_{x\to\:0+}(\frac{1}{4x^{\frac{6}{7}}}-\frac{7}{(x-6^{\frac{6}{7}})})
derivative of (12)/(x^5)
derivative\:\frac{12}{x^{5}}
derivative of (9-sec(x))/(tan(x))
derivative\:\frac{9-\sec(x)}{\tan(x)}
(\partial}{\partial t}(\frac{3r+s)/t)
\frac{\partial\:}{\partial\:t}(\frac{3r+s}{t})
y^{''}-2y^'+6y=0
y^{\prime\:\prime\:}-2y^{\prime\:}+6y=0
integral of 4sin^2(x)cos^3(x)
\int\:4\sin^{2}(x)\cos^{3}(x)dx
(dy)/(dx)=tan(y)
\frac{dy}{dx}=\tan(y)
derivative of (x-1/(x^2))
\frac{d}{dx}(\frac{x-1}{x^{2}})
integral of sqrt(x)*(7x^2+x)
\int\:\sqrt{x}\cdot\:(7x^{2}+x)dx
integral of sqrt(8^2-x^2)
\int\:\sqrt{8^{2}-x^{2}}dx
integral from-1 to 1 of (2x^2-x^3)
\int\:_{-1}^{1}(2x^{2}-x^{3})dx
derivative of In(x^2+7)
\frac{d}{dx}(In(x^{2}+7))
integral of (x-3)/((x+8)(x-2))
\int\:\frac{x-3}{(x+8)(x-2)}dx
derivative of sqrt(a^2-x^2)
derivative\:\sqrt{a^{2}-x^{2}}
derivative of h(x)=(2x)/(sin(x))
derivative\:h(x)=\frac{2x}{\sin(x)}
derivative of (x^2+x(6-x))
\frac{d}{dx}((x^{2}+x)(6-x))
integral of 1/(sqrt(7x+6))
\int\:\frac{1}{\sqrt{7x+6}}dx
slope ofintercept (2,4),(5,13)
slopeintercept\:(2,4),(5,13)
integral of (1/3)^x
\int\:(\frac{1}{3})^{x}dx
limit as x approaches 4 of x/(x+1)
\lim\:_{x\to\:4}(\frac{x}{x+1})
area f(x)=1-e^{-x/3},2,3
area\:f(x)=1-e^{-\frac{x}{3}},2,3
integral of (x^2+x+1)/(sqrt(x))
\int\:\frac{x^{2}+x+1}{\sqrt{x}}dx
derivative of f(x)=ln(9x)
derivative\:f(x)=\ln(9x)
tangent of f(x)=-4x^2+6,\at x=-1
tangent\:f(x)=-4x^{2}+6,\at\:x=-1
(dy}{dx}=-\frac{(xe^{-x^2}))/y
\frac{dy}{dx}=-\frac{(xe^{-x^{2}})}{y}
integral of x^{(3/2)}
\int\:x^{(\frac{3}{2})}dx
derivative of arcsin(x 8/pi)
\frac{d}{dx}(\arcsin(x)\frac{8}{π})
sum from n=1 to infinity of n*1/(2^n)
\sum\:_{n=1}^{\infty\:}n\cdot\:\frac{1}{2^{n}}
integral from 0 to 1 of sqrt(1-y^2)
\int\:_{0}^{1}\sqrt{1-y^{2}}dy
y^{''}+5y^'+6y=e^{-3x}
y^{\prime\:\prime\:}+5y^{\prime\:}+6y=e^{-3x}
integral of (22s+22)/((s^2+1)(s-1)^3)
\int\:\frac{22s+22}{(s^{2}+1)(s-1)^{3}}ds
v(dv)/(dx)=9.8-0.002v^2
v\frac{dv}{dx}=9.8-0.002v^{2}
integral of sin(-x)
\int\:\sin(-x)dx
d/(dt)(4/t)
\frac{d}{dt}(\frac{4}{t})
limit as x approaches+0 of (e^{2x}+x)^{1/x}
\lim\:_{x\to\:+0}((e^{2x}+x)^{\frac{1}{x}})
integral of csc^2(3x)cos(3x)
\int\:\csc^{2}(3x)\cos(3x)dx
limit as x approaches 0 of sqrt(x)-2
\lim\:_{x\to\:0}(\sqrt{x}-2)
y^{''}-6y^'-2y+1=cos(2x)
y^{\prime\:\prime\:}-6y^{\prime\:}-2y+1=\cos(2x)
(x^2+4)(dy)/(dx)+3xy=x
(x^{2}+4)\frac{dy}{dx}+3xy=x
integral of (x-1)^4
\int\:(x-1)^{4}dx
integral of 2x+7
\int\:2x+7dx
tangent of sqrt(x+1)
tangent\:\sqrt{x+1}
y^{''}-ay^'-by=0
y^{\prime\:\prime\:}-ay^{\prime\:}-by=0
derivative of \sqrt[5]{ln(7-x^2})
\frac{d}{dx}(\sqrt[5]{\ln(7-x^{2})})
integral of (4x)/(sqrt(1+x^2))
\int\:\frac{4x}{\sqrt{1+x^{2}}}dx
(dy)/(dt)=2(1-y)
\frac{dy}{dt}=2(1-y)
inverse oflaplace (10)/(s(s^2+0.22s+6))
inverselaplace\:\frac{10}{s(s^{2}+0.22s+6)}
derivative of (log_{4}(x))^{10}
derivative\:(\log_{4}(x))^{10}
(\partial)/(\partial v)(w^2sin(v))
\frac{\partial\:}{\partial\:v}(w^{2}\sin(v))
integral of sqrt(21+4x-x^2)
\int\:\sqrt{21+4x-x^{2}}dx
limit as x approaches 4 of (3x-12)/(x-4)
\lim\:_{x\to\:4}(\frac{3x-12}{x-4})
area y=2x^2+10,y=4x+16
area\:y=2x^{2}+10,y=4x+16
derivative of (x^9-x^{1/6})6^x
derivative\:(x^{9}-x^{\frac{1}{6}})6^{x}
limit as t approaches pi of cos(t)
\lim\:_{t\to\:π}(\cos(t))
(ln(sec(x)))^'
(\ln(\sec(x)))^{\prime\:}
integral of 4x+sin(3x)
\int\:4x+\sin(3x)dx
slope ofintercept (6.4)(2.1)
slopeintercept\:(6.4)(2.1)
(\partial)/(\partial x)(-2e^{-3x^2-y^2}y)
\frac{\partial\:}{\partial\:x}(-2e^{-3x^{2}-y^{2}}y)
derivative of y=1.00059e^{(2.39736)}-1.0005
derivative\:y=1.00059e^{(2.39736)}-1.0005
derivative of 1/(2sqrt(x+7))
\frac{d}{dx}(\frac{1}{2\sqrt{x+7}})
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