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Popular Calculus Problems
derivative of x^{-1/2}*cos(x)
\frac{d}{dx}(x^{-\frac{1}{2}}\cdot\:\cos(x))
laplacetransform sin((2t)/3)
laplacetransform\:\sin(\frac{2t}{3})
derivative of x/((x-7^2))
\frac{d}{dx}(\frac{x}{(x-7)^{2}})
inverse oflaplace (6s-5)/(s^2+7)
inverselaplace\:\frac{6s-5}{s^{2}+7}
y^'-(2y)/x =x^3y^{-3}
y^{\prime\:}-\frac{2y}{x}=x^{3}y^{-3}
derivative of-e^{-x}x
\frac{d}{dx}(-e^{-x}x)
factor t^3+t
factor\:t^{3}+t
y^'=2sec^2(x)e^{2y}
y^{\prime\:}=2\sec^{2}(x)e^{2y}
maclaurin x-sin(x)
maclaurin\:x-\sin(x)
y^{''}+6y^'-16y=-272sin(8x)
y^{\prime\:\prime\:}+6y^{\prime\:}-16y=-272\sin(8x)
derivative of (ln(cos(2x))/x)
\frac{d}{dx}(\frac{\ln(\cos(2x))}{x})
derivative of cos(sqrt(3)x)
\frac{d}{dx}(\cos(\sqrt{3}x))
derivative of arcsin(x+arccos(x))
\frac{d}{dx}(\arcsin(x)+\arccos(x))
integral of sqrt(8x+1)
\int\:\sqrt{8x+1}dx
integral of (e^t+1)^2
\int\:(e^{t}+1)^{2}dt
limit as x approaches 2 of 1/(x+1)
\lim\:_{x\to\:2}(\frac{1}{x+1})
inverse oflaplace (3s)/(s^2+3s+16)
inverselaplace\:\frac{3s}{s^{2}+3s+16}
derivative of x^3tan(x)
\frac{d}{dx}(x^{3}\tan(x))
(\partial)/(\partial x)(e^{x+y+4})
\frac{\partial\:}{\partial\:x}(e^{x+y+4})
integral from-1 to 1 of xsin(pix)
\int\:_{-1}^{1}x\sin(πx)dx
integral of 2/u
\int\:\frac{2}{u}du
integral from 0 to 1 of (1-x)^9
\int\:_{0}^{1}(1-x)^{9}dx
derivative of f(x)=sqrt(7x+9)
derivative\:f(x)=\sqrt{7x+9}
(\partial)/(\partial x)((x^3-y^2)^2)
\frac{\partial\:}{\partial\:x}((x^{3}-y^{2})^{2})
(\partial)/(\partial x)((x+y)^5)
\frac{\partial\:}{\partial\:x}((x+y)^{5})
area y=1-x^2,y=x-1
area\:y=1-x^{2},y=x-1
integral from-1 to 3 of (-x)^3
\int\:_{-1}^{3}(-x)^{3}dx
derivative of (-2x+y/(-x+2y))
\frac{d}{dx}(\frac{-2x+y}{-x+2y})
implicit (dy)/(dx),2xy=5
implicit\:\frac{dy}{dx},2xy=5
integral from 0.5 to 3 of (sin(x))/x
\int\:_{0.5}^{3}\frac{\sin(x)}{x}dx
tangent of y=-4cos(x),\at x= pi/2
tangent\:y=-4\cos(x),\at\:x=\frac{π}{2}
derivative of 1/(x 3/2)
\frac{d}{dx}(\frac{1}{x\frac{3}{2}})
sum from n=0 to infinity of n/(4^n)
\sum\:_{n=0}^{\infty\:}\frac{n}{4^{n}}
integral of sin(6x)cos(4x)
\int\:\sin(6x)\cos(4x)dx
limit as t approaches 0 of (e^{2t})/(sin(t))
\lim\:_{t\to\:0}(\frac{e^{2t}}{\sin(t)})
integral of ((x+1))/(7x+x^2)
\int\:\frac{(x+1)}{7x+x^{2}}dx
(dN)/(dt)=N(1-0.001N)
\frac{dN}{dt}=N(1-0.001N)
integral of 1/((1-y)(1+y))
\int\:\frac{1}{(1-y)(1+y)}dy
derivative of 1/3 x^3+1/2 x^2-6x+8
\frac{d}{dx}(\frac{1}{3}x^{3}+\frac{1}{2}x^{2}-6x+8)
y^'=xsin(x)+xcos(x)
y^{\prime\:}=x\sin(x)+x\cos(x)
laplacetransform cos(4x)
laplacetransform\:\cos(4x)
tangent of-6/((3x+5)^2)
tangent\:-\frac{6}{(3x+5)^{2}}
(y+xcot(y/x))dx-xdy=0
(y+x\cot(\frac{y}{x}))dx-xdy=0
limit as x approaches 6 of ((1/x-1/6))/(x-6)
\lim\:_{x\to\:6}(\frac{(\frac{1}{x}-\frac{1}{6})}{x-6})
(dy)/(dx)=-(1+y)^4
\frac{dy}{dx}=-(1+y)^{4}
simplify 7e^{-4x}
simplify\:7e^{-4x}
derivative of e^{-2ax}
derivative\:e^{-2ax}
derivative of e^{-13x}
\frac{d}{dx}(e^{-13x})
(e^y-ye^x)dx+(xe^y-e^x)dy=0
(e^{y}-ye^{x})dx+(xe^{y}-e^{x})dy=0
integral of sin(5x)
\int\:\sin(5x)dx
derivative of \sqrt[4]{t}-4e^t
derivative\:\sqrt[4]{t}-4e^{t}
derivative of f(x)=cos(6x)*6
derivative\:f(x)=\cos(6x)\cdot\:6
integral of xsin(x+y)
\int\:x\sin(x+y)dx
derivative of e^{xsec(x})
\frac{d}{dx}(e^{x\sec(x)})
derivative of 2cos(x^2-4x^2sin(x^2))
\frac{d}{dx}(2\cos(x^{2})-4x^{2}\sin(x^{2}))
inverse oflaplace 3/(s(s^2+6s))
inverselaplace\:\frac{3}{s(s^{2}+6s)}
integral from 0 to 10 of 400-20t
\int\:_{0}^{10}400-20tdt
derivative of 16e^x
derivative\:16e^{x}
slope of (3-1)(3-4)
slope\:(3-1)(3-4)
(dy)/(dx)=sqrt(7x+y)-7
\frac{dy}{dx}=\sqrt{7x+y}-7
(dy)/(dt)=-y^2,y(0)= 1/2
\frac{dy}{dt}=-y^{2},y(0)=\frac{1}{2}
integral of e^{5x}*sqrt(3e^{5x)+2}
\int\:e^{5x}\cdot\:\sqrt{3e^{5x}+2}dx
(\partial)/(\partial x)(e^y(x^2-y^2))
\frac{\partial\:}{\partial\:x}(e^{y}(x^{2}-y^{2}))
integral of-3sin(3x)
\int\:-3\sin(3x)dx
derivative of (5x)^{9x}
derivative\:(5x)^{9x}
limit as t approaches 0 of tan(2t)
\lim\:_{t\to\:0}(\tan(2t))
limit as x approaches 2-of 2x^2+7
\lim\:_{x\to\:2-}(2x^{2}+7)
inverse oflaplace 2/(s^3+3s^2-4)
inverselaplace\:\frac{2}{s^{3}+3s^{2}-4}
integral of e^{-0.25x}
\int\:e^{-0.25x}dx
laplacetransform 3cos^2(t)
laplacetransform\:3\cos^{2}(t)
t^2y^{''}+4ty^'-10y=0
t^{2}y^{\prime\:\prime\:}+4ty^{\prime\:}-10y=0
(5x+ye^{y/x})dx-(xe^{y/x})dy=0,y(1)=3
(5x+ye^{\frac{y}{x}})dx-(xe^{\frac{y}{x}})dy=0,y(1)=3
limit as t approaches 0 of (sin(t))/t
\lim\:_{t\to\:0}(\frac{\sin(t)}{t})
integral of e^{-3ln(x)}
\int\:e^{-3\ln(x)}dx
integral of (ln(x^2))/(x^3)
\int\:\frac{\ln(x^{2})}{x^{3}}dx
integral of 1/(sqrt(8+x^2))
\int\:\frac{1}{\sqrt{8+x^{2}}}dx
integral of cos(2t)+sin(2t)
\int\:\cos(2t)+\sin(2t)dt
derivative of x(7^{-3x})
derivative\:x(7^{-3x})
limit as x approaches 2 of 16
\lim\:_{x\to\:2}(16)
maclaurin cos(3x)
maclaurin\:\cos(3x)
inverse oflaplace (7s)/(s^2-2s+10)
inverselaplace\:\frac{7s}{s^{2}-2s+10}
integral of (2x+5)/(x^2-4x+13)
\int\:\frac{2x+5}{x^{2}-4x+13}dx
integral of 4/(xsqrt(x^2-1))
\int\:\frac{4}{x\sqrt{x^{2}-1}}dx
integral of 4y^2
\int\:4y^{2}dy
derivative of (x^2/(x^2-36))
\frac{d}{dx}(\frac{x^{2}}{x^{2}-36})
integral of 1/(sqrt(x^2-5))
\int\:\frac{1}{\sqrt{x^{2}-5}}dx
integral of-12x
\int\:-12xdx
integral of 2t^3(t^4-3)^5
\int\:2t^{3}(t^{4}-3)^{5}dt
derivative of g(x)=(arcsin(3x))/x
derivative\:g(x)=\frac{\arcsin(3x)}{x}
limit as x approaches-infinity of-3x^3+x
\lim\:_{x\to\:-\infty\:}(-3x^{3}+x)
limit as x approaches 0 of-(ln(1+6x))/x
\lim\:_{x\to\:0}(-\frac{\ln(1+6x)}{x})
f(t)=(tsin(t))/(1+t)
f(t)=\frac{t\sin(t)}{1+t}
integral of (2-x)/x
\int\:\frac{2-x}{x}dx
integral of |x^2|
\int\:\left|x^{2}\right|dx
sum from n=1 to infinity of (n!)/(2n!+1)
\sum\:_{n=1}^{\infty\:}\frac{n!}{2n!+1}
area x^2-x-2,3
area\:x^{2}-x-2,3
x^2y=(x^3+y^3)(dy)/(dx)
x^{2}y=(x^{3}+y^{3})\frac{dy}{dx}
derivative of tanh(1+e^{4x})
\frac{d}{dx}(\tanh(1+e^{4x}))
limit as x approaches-infinity of 3x^2+1
\lim\:_{x\to\:-\infty\:}(3x^{2}+1)
derivative of a^{2x}
derivative\:a^{2x}
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