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Popular Calculus Problems
(dy)/(dx)+y/x =3x^6y^2
\frac{dy}{dx}+\frac{y}{x}=3x^{6}y^{2}
limit as x approaches 1+of 7
\lim\:_{x\to\:1+}(7)
(1-x^2)(dy)/(dx)-x^2y=(1+x)sqrt(1-x^2)
(1-x^{2})\frac{dy}{dx}-x^{2}y=(1+x)\sqrt{1-x^{2}}
derivative of 7z^2e^z
derivative\:7z^{2}e^{z}
integral of (x+1)/(sqrt(x^2+2x+3))
\int\:\frac{x+1}{\sqrt{x^{2}+2x+3}}dx
(7x+5y)dx+(5x-8y3)dy=0
(7x+5y)dx+(5x-8y3)dy=0
tangent of f(x)=x^4,\at x=3
tangent\:f(x)=x^{4},\at\:x=3
integral of sqrt(1+(x/2-4)^2)
\int\:\sqrt{1+(\frac{x}{2}-4)^{2}}dx
integral of 3+2cos(x)
\int\:3+2\cos(x)dx
limit as θ approaches 0 of (sin(3θ))/θ
\lim\:_{θ\to\:0}(\frac{\sin(3θ)}{θ})
limit as x approaches 3 of (x^2)/(x^2-9)
\lim\:_{x\to\:3}(\frac{x^{2}}{x^{2}-9})
area 4x+y^2=12,x=y
area\:4x+y^{2}=12,x=y
integral of (x^4+x^2-1)/(x-1)
\int\:\frac{x^{4}+x^{2}-1}{x-1}dx
inverse oflaplace ((s+2))/(s^2+2s+2)
inverselaplace\:\frac{(s+2)}{s^{2}+2s+2}
limit as x approaches a of (ln(x)-ln(a))/(x-a)
\lim\:_{x\to\:a}(\frac{\ln(x)-\ln(a)}{x-a})
integral of ((sec(x))/(tan(x)))^4
\int\:(\frac{\sec(x)}{\tan(x)})^{4}dx
(dy)/(dx)=e^{4x-3y},y(0)=2
\frac{dy}{dx}=e^{4x-3y},y(0)=2
integral of (sin^5(x))/(sqrt(cos(x)))
\int\:\frac{\sin^{5}(x)}{\sqrt{\cos(x)}}dx
derivative of y=sqrt(\sqrt{\sqrt{x)}}
derivative\:y=\sqrt{\sqrt{\sqrt{x}}}
(\partial)/(\partial s)(t^2-2s^2)
\frac{\partial\:}{\partial\:s}(t^{2}-2s^{2})
integral of 7t^8
\int\:7t^{8}dt
y^{''}+2y^'+2y=3cos(t)-sin(t)
y^{\prime\:\prime\:}+2y^{\prime\:}+2y=3\cos(t)-\sin(t)
integral from 1 to 3 of xe^{-x^2}
\int\:_{1}^{3}xe^{-x^{2}}dx
derivative of (x-3/(x^2+4))
\frac{d}{dx}(\frac{x-3}{x^{2}+4})
slope of (0.2)(6.6)
slope\:(0.2)(6.6)
limit as x approaches 3 of (x^2)/(9-x^2)
\lim\:_{x\to\:3}(\frac{x^{2}}{9-x^{2}})
derivative of ((e^x)/(x^2))
\frac{d}{dx}(\frac{(e^{x})}{x^{2}})
tangent of 2/(x-1)
tangent\:\frac{2}{x-1}
integral of x^{-7/3}
\int\:x^{-\frac{7}{3}}dx
derivative of 625sin(5x)
\frac{d}{dx}(625\sin(5x))
integral of (32x^2)/((x-6)(x+2)^2)
\int\:\frac{32x^{2}}{(x-6)(x+2)^{2}}dx
integral of x^3sqrt(x^2+26)
\int\:x^{3}\sqrt{x^{2}+26}dx
inverse oflaplace 1/((s(s^2+0.4s+4)))
inverselaplace\:\frac{1}{(s(s^{2}+0.4s+4))}
integral from 1 to x of sqrt(1+9x)
\int\:_{1}^{x}\sqrt{1+9x}dx
(\partial)/(\partial x)(1+xln(xy-7))
\frac{\partial\:}{\partial\:x}(1+x\ln(xy-7))
(\partial ^2)/(\partial x\partial y)((1+2xy^2)^3)
\frac{\partial\:^{2}}{\partial\:x\partial\:y}((1+2xy^{2})^{3})
sum from n=1 to infinity of 4(2.1)^{n-1}
\sum\:_{n=1}^{\infty\:}4(2.1)^{n-1}
derivative of 3x^24^{-x}
\frac{d}{dx}(3x^{2}4^{-x})
t(dy)/(dt)=t^3+8t^3y
t\frac{dy}{dt}=t^{3}+8t^{3}y
integral of 9cos(θ)
\int\:9\cos(θ)dθ
derivative of-2x^2+7x+5
\frac{d}{dx}(-2x^{2}+7x+5)
sum from n=0 to infinity of ln(1+n)
\sum\:_{n=0}^{\infty\:}\ln(1+n)
(\partial)/(\partial y)(x^y-y^x)
\frac{\partial\:}{\partial\:y}(x^{y}-y^{x})
derivative of y=(x^2-7x+7)e^{(9x)/7}
derivative\:y=(x^{2}-7x+7)e^{\frac{9x}{7}}
integral from 0 to infinity of cos(x)
\int\:_{0}^{\infty\:}\cos(x)dx
integral of (6x^2+8x+3)
\int\:(6x^{2}+8x+3)dx
y^'=8x^3e^{-2y}
y^{\prime\:}=8x^{3}e^{-2y}
derivative of-e^{-(x^2/2}x)
\frac{d}{dx}(-e^{-\frac{x^{2}}{2}}x)
inverse oflaplace ((2+s))/(s^2+2s+2)
inverselaplace\:\frac{(2+s)}{s^{2}+2s+2}
integral of 2/(sin^2(x))
\int\:\frac{2}{\sin^{2}(x)}dx
simplify 5x^4-sqrt(x)-2/x
simplify\:5x^{4}-\sqrt{x}-\frac{2}{x}
inverse oflaplace S/(S^2+2S-3)
inverselaplace\:\frac{S}{S^{2}+2S-3}
taylor sin(x), pi/3
taylor\:\sin(x),\frac{π}{3}
limit as x approaches 64 of x^{3/2}
\lim\:_{x\to\:64}(x^{\frac{3}{2}})
limit as x approaches 0 of (2x^2-3x)/x
\lim\:_{x\to\:0}(\frac{2x^{2}-3x}{x})
inverse oflaplace e^{-3t}
inverselaplace\:e^{-3t}
derivative of (ax^2+bx+ce^{-x/8})
\frac{d}{dx}((ax^{2}+bx+c)e^{-\frac{x}{8}})
limit as x approaches-1 of-x^2+4x
\lim\:_{x\to\:-1}(-x^{2}+4x)
integral of sqrt(1-9x^2)
\int\:\sqrt{1-9x^{2}}dx
integral from 0 to pi/2 of xcos(2x)
\int\:_{0}^{\frac{π}{2}}x\cos(2x)dx
(\partial)/(\partial x)(x^y-e^{xy})
\frac{\partial\:}{\partial\:x}(x^{y}-e^{xy})
limit as x approaches+0 of (x+1)^2-x^2
\lim\:_{x\to\:+0}((x+1)^{2}-x^{2})
limit as x approaches 3-of (7-x-5)/(x-3)
\lim\:_{x\to\:3-}(\frac{7-x-5}{x-3})
derivative of ((x+3/(x-1))^2)
\frac{d}{dx}((\frac{x+3}{x-1})^{2})
derivative of 1/(x^2+2x+2)
\frac{d}{dx}(\frac{1}{x^{2}+2x+2})
y^{''}-12y^'+61y=0
y^{\prime\:\prime\:}-12y^{\prime\:}+61y=0
(dy)/(dx)= y/x ln(y)
\frac{dy}{dx}=\frac{y}{x}\ln(y)
integral from 0 to pi/2 of-6sin^2(3x)
\int\:_{0}^{\frac{π}{2}}-6\sin^{2}(3x)dx
(\partial)/(\partial x)(2xy(9-x-y))
\frac{\partial\:}{\partial\:x}(2xy(9-x-y))
derivative of x^2y^2
derivative\:x^{2}y^{2}
integral of 2xye^{x^2y}
\int\:2xye^{x^{2}y}dx
d/(dt)(3t^2)
\frac{d}{dt}(3t^{2})
derivative of-4e^{-x^2}x
\frac{d}{dx}(-4e^{-x^{2}}x)
(\partial)/(\partial x)((5x+4y)e^y)
\frac{\partial\:}{\partial\:x}((5x+4y)e^{y})
tangent of 5x^2-4x+5
tangent\:5x^{2}-4x+5
limit as x approaches infinity of xe^x
\lim\:_{x\to\:\infty\:}(xe^{x})
(dy)/(dx)=(9x)/(7y)
\frac{dy}{dx}=\frac{9x}{7y}
d/(dy)(ln(xy))
\frac{d}{dy}(\ln(xy))
(\partial)/(\partial x)(5cos(x))
\frac{\partial\:}{\partial\:x}(5\cos(x))
integral of 2x(x^2+1)^{-5}
\int\:2x(x^{2}+1)^{-5}dx
(\partial)/(\partial x)((ax)/(y^2))
\frac{\partial\:}{\partial\:x}(\frac{ax}{y^{2}})
integral of ((x+4))/(x^3+3x^2+2x)
\int\:\frac{(x+4)}{x^{3}+3x^{2}+2x}dx
t^2y^{''}+5ty^'+4y=0
t^{2}y^{\prime\:\prime\:}+5ty^{\prime\:}+4y=0
limit as x approaches 1+of (x-1)/(x-1)
\lim\:_{x\to\:1+}(\frac{x-1}{x-1})
limit as x approaches 0 of (2sin(x/2))/x
\lim\:_{x\to\:0}(\frac{2\sin(\frac{x}{2})}{x})
derivative of f(x)=(4/5 x)^4
derivative\:f(x)=(\frac{4}{5}x)^{4}
integral of t^2(t-8/t)
\int\:t^{2}(t-\frac{8}{t})dt
(dy)/(dx)=(xe^{x^2})
\frac{dy}{dx}=(xe^{x^{2}})
y^'-2y=y^3
y^{\prime\:}-2y=y^{3}
derivative of arccsc(tan(e^x))
\frac{d}{dx}(\arccsc(\tan(e^{x})))
(\partial)/(\partial x)(e^{2x}cos(8y))
\frac{\partial\:}{\partial\:x}(e^{2x}\cos(8y))
(1/(x(ln(x))^2))^'
(\frac{1}{x(\ln(x))^{2}})^{\prime\:}
(\partial}{\partial x}(\frac{x^2)/2)
\frac{\partial\:}{\partial\:x}(\frac{x^{2}}{2})
derivative of (x+1^3)
\frac{d}{dx}((x+1)^{3})
integral from 0 to 1 of (61)/(x^5)
\int\:_{0}^{1}\frac{61}{x^{5}}dx
integral from-1 to 1 of (3x^2+1)^2
\int\:_{-1}^{1}(3x^{2}+1)^{2}dx
integral of (-4)/(x^2)
\int\:\frac{-4}{x^{2}}dx
derivative of y=(2x-3)/(4x+1)
derivative\:y=\frac{2x-3}{4x+1}
(\partial)/(\partial x)(3(x-y)*e^{3y+2x^2})
\frac{\partial\:}{\partial\:x}(3(x-y)\cdot\:e^{3y+2x^{2}})
derivative of (sqrt(t))/(1+t^2)
derivative\:\frac{\sqrt{t}}{1+t^{2}}
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