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Popular Calculus Problems
derivative of ln(xcos(x))
\frac{d}{dx}(\ln(x)\cos(x))
x^2y^{''}+3xy^'-15y=0
x^{2}y^{\prime\:\prime\:}+3xy^{\prime\:}-15y=0
inverse oflaplace 6/(s^2+5s+6)
inverselaplace\:\frac{6}{s^{2}+5s+6}
(\partial)/(\partial x)(2xe^y)
\frac{\partial\:}{\partial\:x}(2xe^{y})
tangent of 1/x ,\at x=3
tangent\:\frac{1}{x},\at\:x=3
integral of 1/(xsin^2(ln(x)))
\int\:\frac{1}{x\sin^{2}(\ln(x))}dx
integral from 0 to 5 of (5t)/((t-6)^2)
\int\:_{0}^{5}\frac{5t}{(t-6)^{2}}dt
limit as x approaches 1 of 2x
\lim\:_{x\to\:1}(2x)
derivative of ax^{-2}
\frac{d}{dx}(ax^{-2})
derivative of y=sin(cos(tan(pix)))
derivative\:y=\sin(\cos(\tan(πx)))
derivative of 0.006x^3+0.07x^2+18x+600
\frac{d}{dx}(0.006x^{3}+0.07x^{2}+18x+600)
(dy)/(dx)=y(2x-5)
\frac{dy}{dx}=y(2x-5)
limit as x approaches 4 of (x^2-8x+16)/(x-4)
\lim\:_{x\to\:4}(\frac{x^{2}-8x+16}{x-4})
derivative of cos(5x)
derivative\:\cos(5x)
y^'+2y=6e^x
y^{\prime\:}+2y=6e^{x}
(dy)/(dx)=xe^{-y}+10e^{-y}
\frac{dy}{dx}=xe^{-y}+10e^{-y}
(\partial)/(\partial t)(10e^{-0.25x}sin((2pi)/(365)t-0.25x))
\frac{\partial\:}{\partial\:t}(10e^{-0.25x}\sin(\frac{2π}{365}t-0.25x))
derivative of sin^3(3x)
derivative\:\sin^{3}(3x)
derivative of (x^2+1/(x^2-3))
\frac{d}{dx}(\frac{x^{2}+1}{x^{2}-3})
derivative of f(x)=cos^3(x)
derivative\:f(x)=\cos^{3}(x)
simplify ln(1/x)
simplify\:\ln(\frac{1}{x})
integral of e^{3x+2}
\int\:e^{3x+2}dx
derivative of e^{x^2+3}
\frac{d}{dx}(e^{x^{2}+3})
integral of 1/(2y+y^2)
\int\:\frac{1}{2y+y^{2}}dy
(\partial)/(\partial x)(2x^4y+sin(x^3))
\frac{\partial\:}{\partial\:x}(2x^{4}y+\sin(x^{3}))
integral from 0 to 3pi of 5x^2sin(1/6 x)
\int\:_{0}^{3π}5x^{2}\sin(\frac{1}{6}x)dx
derivative of (sqrt(x))/(4+x)
derivative\:\frac{\sqrt{x}}{4+x}
integral of 8te^t
\int\:8te^{t}dt
derivative of 2csc(2x)
\frac{d}{dx}(2\csc(2x))
laplacetransform 8t^2
laplacetransform\:8t^{2}
y^'+2y=60,y(1)=80
y^{\prime\:}+2y=60,y(1)=80
derivative of f(x)=sqrt(3)sin(x)+cos(x)
derivative\:f(x)=\sqrt{3}\sin(x)+\cos(x)
integral of (3x^2+2x)ln(x)
\int\:(3x^{2}+2x)\ln(x)dx
derivative of (1+sin(3x)^4)
\frac{d}{dx}((1+\sin(3x))^{4})
derivative of (3cos(2x+sin(3x)+4)^2)
\frac{d}{dx}((3\cos(2x)+\sin(3x)+4)^{2})
y^'-4y=10sin(2t),y(0)=0
y^{\prime\:}-4y=10\sin(2t),y(0)=0
(\partial)/(\partial y)(ye^{2xy}+x)
\frac{\partial\:}{\partial\:y}(ye^{2xy}+x)
integral of x/(sqrt(2x^2+3))
\int\:\frac{x}{\sqrt{2x^{2}+3}}dx
derivative of e^x-2e^{-2x}
\frac{d}{dx}(e^{x}-2e^{-2x})
integral of (x^2+3x+7)/(sqrt(x))
\int\:\frac{x^{2}+3x+7}{\sqrt{x}}dx
derivative of y=5x^2e^{2x}
derivative\:y=5x^{2}e^{2x}
derivative of (x(x^2-1)/(sqrt(x^2+1)))
\frac{d}{dx}(\frac{x(x^{2}-1)}{\sqrt{x^{2}+1}})
limit as x approaches 0 of x^2(sin(1/x))
\lim\:_{x\to\:0}(x^{2}(\sin(\frac{1}{x})))
integral of x^2sqrt(3+2x-x^2)
\int\:x^{2}\sqrt{3+2x-x^{2}}dx
derivative of 4e^{x/2}-3e^{-x}
\frac{d}{dx}(4e^{\frac{x}{2}}-3e^{-x})
integral from 0 to pi/2 of xsin(8x)
\int\:_{0}^{\frac{π}{2}}x\sin(8x)dx
tangent of f(x)=6x-x^2
tangent\:f(x)=6x-x^{2}
8-x^2,x^2,x=-3,x=3
8-x^{2},x^{2},x=-3,x=3
y^'=5y+e^{-2x}y^{-2}
y^{\prime\:}=5y+e^{-2x}y^{-2}
derivative of (x^4+6/(x^2))
\frac{d}{dx}(\frac{x^{4}+6}{x^{2}})
expand (4x-7)^3(8x-3)
expand\:(4x-7)^{3}(8x-3)
integral of (x^2+1)/((x-8)(x-7)^2)
\int\:\frac{x^{2}+1}{(x-8)(x-7)^{2}}dx
sum from n=1 to infinity of nsin(3/n)
\sum\:_{n=1}^{\infty\:}n\sin(\frac{3}{n})
limit as x approaches b of f(x)+g(x)
\lim\:_{x\to\:b}(f(x)+g(x))
integral from 0 to 1 of 2pix(21-21x)
\int\:_{0}^{1}2πx(21-21x)dx
laplacetransform (t-1)cos(4t-4)
laplacetransform\:(t-1)\cos(4t-4)
(\partial)/(\partial x)(e^{-t}*cos(pix))
\frac{\partial\:}{\partial\:x}(e^{-t}\cdot\:\cos(πx))
integral of xe^{y+2z}
\int\:xe^{y+2z}dy
derivative of (4s)/(s+2)
derivative\:\frac{4s}{s+2}
derivative of (6x^2+6x+4/(sqrt(x)))
\frac{d}{dx}(\frac{6x^{2}+6x+4}{\sqrt{x}})
inverse oflaplace (6s-4)/(s^2-4s+20)
inverselaplace\:\frac{6s-4}{s^{2}-4s+20}
limit as x approaches 0 of xcos(1/(x^3))
\lim\:_{x\to\:0}(x\cos(\frac{1}{x^{3}}))
y^'+xy=x^3
y^{\prime\:}+xy=x^{3}
derivative of (2x-1)e^x
derivative\:(2x-1)e^{x}
derivative of ln(3x+7)
derivative\:\ln(3x+7)
(sin(xy)+xycos(xy))dx+x^2cos(xy)dy=0
(\sin(xy)+xy\cos(xy))dx+x^{2}\cos(xy)dy=0
integral of (sqrt(x))/(\sqrt[3]{x)+1}
\int\:\frac{\sqrt{x}}{\sqrt[3]{x}+1}dx
limit as x approaches 2 of 4x^3
\lim\:_{x\to\:2}(4x^{3})
derivative of arccos(-3x)
derivative\:\arccos(-3x)
derivative of 6.687(0.931^x)
\frac{d}{dx}(6.687(0.931)^{x})
sum from n=0 to infinity of (x+5)^n
\sum\:_{n=0}^{\infty\:}(x+5)^{n}
derivative of (2x/(sqrt(x^2+1)))
\frac{d}{dx}(\frac{2x}{\sqrt{x^{2}+1}})
derivative of (3x^2+1^4)
\frac{d}{dx}((3x^{2}+1)^{4})
(2xy+y^2)dx-2x^2dy=0
(2xy+y^{2})dx-2x^{2}dy=0
derivative of ((x-4)/x+ln(x/4))
\frac{d}{dx}(\frac{(x-4)}{x}+\ln(\frac{x}{4}))
integral of 1/(x^4+x^2)
\int\:\frac{1}{x^{4}+x^{2}}dx
(\partial)/(\partial x)(t^2x-t)
\frac{\partial\:}{\partial\:x}(t^{2}x-t)
integral of (x^2)/(x^4-20x^2-125)
\int\:\frac{x^{2}}{x^{4}-20x^{2}-125}dx
derivative of 5*4^x
\frac{d}{dx}(5\cdot\:4^{x})
integral of e^{(a-b)x}
\int\:e^{(a-b)x}dx
integral of (2sqrt(ln^2(x)+16))/x
\int\:\frac{2\sqrt{\ln^{2}(x)+16}}{x}dx
integral of 4t+2
\int\:4t+2dt
derivative of θ
derivative\:θ
inverse oflaplace e^s
inverselaplace\:e^{s}
derivative of 500q-(q^2)/(ln(q+300))
derivative\:500q-\frac{q^{2}}{\ln(q+300)}
(x+2y)dx+xdy=0
(x+2y)dx+xdy=0
(dy)/(dt)=0.17y+200
\frac{dy}{dt}=0.17y+200
integral from 0 to 1 of y/(e^{6y)}
\int\:_{0}^{1}\frac{y}{e^{6y}}dy
integral of 1/(xsqrt(4-(ln(x))^2))
\int\:\frac{1}{x\sqrt{4-(\ln(x))^{2}}}dx
derivative of (4x^{4x})
\frac{d}{dx}((4x)^{4x})
(\partial)/(\partial x)(sin(5x)cos(5y))
\frac{\partial\:}{\partial\:x}(\sin(5x)\cos(5y))
derivative of (x^3/(cos(x)))
\frac{d}{dx}(\frac{x^{3}}{\cos(x)})
derivative of 2-3x
derivative\:2-3x
integral of 4-y^2
\int\:4-y^{2}dy
integral of (2(1+x))/(x(2+x))
\int\:\frac{2(1+x)}{x(2+x)}dx
integral of x^5*e^x
\int\:x^{5}\cdot\:e^{x}dx
integral of (t+1)/t
\int\:\frac{t+1}{t}dt
limit as (x,y) approaches (0,0) of (x^2+y^2)ln(x^2+y^2)
\lim\:_{(x,y)\to\:(0,0)}((x^{2}+y^{2})\ln(x^{2}+y^{2}))
slope of y=4x-x^2
slope\:y=4x-x^{2}
derivative of x/3 (2x+1^3)
\frac{d}{dx}(\frac{x}{3}(2x+1)^{3})
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