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Popular Calculus Problems
integral of 1/(y^4)
\int\:\frac{1}{y^{4}}dy
limit as x approaches 2 of+(x)
\lim\:_{x\to\:2}(+(x))
integral of 2/3 x^{2/3}
\int\:\frac{2}{3}x^{\frac{2}{3}}dx
integral of cos(5x+3)
\int\:\cos(5x+3)dx
tangent of f(x)=10(1+3x)^9,\at x=(0)
tangent\:f(x)=10(1+3x)^{9},\at\:x=(0)
area f(x)=e^x,g(x)=2-e^x,[0,3]
area\:f(x)=e^{x},g(x)=2-e^{x},[0,3]
derivative of x^{2/3}(x^2-4)
\frac{d}{dx}(x^{\frac{2}{3}}(x^{2}-4))
sum from n=1 to infinity of (8^n)/(9^n)
\sum\:_{n=1}^{\infty\:}\frac{8^{n}}{9^{n}}
integral from-infinity to-1 of 1/(x^3)
\int\:_{-\infty\:}^{-1}\frac{1}{x^{3}}dx
derivative of 1-2sin(x)
\frac{d}{dx}(1-2\sin(x))
derivative of f(x)=6e^x
derivative\:f(x)=6e^{x}
limit as h approaches+6 of (4h)/(h-6)
\lim\:_{h\to\:+6}(\frac{4h}{h-6})
f(x)=sqrt(9-x)
f(x)=\sqrt{9-x}
integral from 0 to 1 of 3e^{x^2}
\int\:_{0}^{1}3e^{x^{2}}dx
tangent of f(x)=x^3+2x^2+4x,\at x=-1
tangent\:f(x)=x^{3}+2x^{2}+4x,\at\:x=-1
derivative of f(x)=(2x-3)(x+3)^3
derivative\:f(x)=(2x-3)(x+3)^{3}
integral of (x^{-1}-x^{-3}+x^{-3})/(x^2)
\int\:\frac{x^{-1}-x^{-3}+x^{-3}}{x^{2}}dx
derivative of ((3x^2-5)/((2x^2+1)))
\frac{d}{dx}(\frac{(3x^{2}-5)}{(2x^{2}+1)})
f(x)=e^{x^4}
f(x)=e^{x^{4}}
6x(dy)/(dx)=2xe^x-6y+6x^2
6x\frac{dy}{dx}=2xe^{x}-6y+6x^{2}
(\partial)/(\partial x)(ln(x+2))
\frac{\partial\:}{\partial\:x}(\ln(x+2))
integral of x^2e^{5x}
\int\:x^{2}e^{5x}dx
derivative of 8e^{-x}+e^{3x}
derivative\:8e^{-x}+e^{3x}
integral of-2tan(t)
\int\:-2\tan(t)dt
integral of tan^5(θ)sec^3(θ)
\int\:\tan^{5}(θ)\sec^{3}(θ)dθ
(\partial)/(\partial x)(x^3z+z^3x-2yz)
\frac{\partial\:}{\partial\:x}(x^{3}z+z^{3}x-2yz)
tangent of f(x)=x^2sqrt(x^3+1),\at x=1
tangent\:f(x)=x^{2}\sqrt{x^{3}+1},\at\:x=1
limit as x approaches 1 of x^2+3x-2
\lim\:_{x\to\:1}(x^{2}+3x-2)
integral from 0 to 1 of x*e^{-x}
\int\:_{0}^{1}x\cdot\:e^{-x}dx
integral from 0 to 1 of (e^{-x})
\int\:_{0}^{1}(e^{-x})dx
derivative of f(x)=x^2(1-9x)
derivative\:f(x)=x^{2}(1-9x)
integral of sin(3x)cos(5x)
\int\:\sin(3x)\cos(5x)dx
(3x^2y-6x)dx+(x^3+2y)dy=0
(3x^{2}y-6x)dx+(x^{3}+2y)dy=0
integral from 4 to 6 of 1/(x^2-1)
\int\:_{4}^{6}\frac{1}{x^{2}-1}dx
(\partial)/(\partial x)(t^8e^{-x})
\frac{\partial\:}{\partial\:x}(t^{8}e^{-x})
derivative of (sqrt(x)+1/(sqrt(x)-1))
\frac{d}{dx}(\frac{\sqrt{x}+1}{\sqrt{x}-1})
(\partial)/(\partial x)(tan(5+2x^2y^3z^2))
\frac{\partial\:}{\partial\:x}(\tan(5+2x^{2}y^{3}z^{2}))
derivative of (1+sin(x)*cos(2x))
\frac{d}{dx}((1+\sin(x))\cdot\:\cos(2x))
integral of (2x^2+3x+7)/(x^3+3x)
\int\:\frac{2x^{2}+3x+7}{x^{3}+3x}dx
(dy)/(dx)=(cos(x))e^{y+sin(x)},y(0)=0
\frac{dy}{dx}=(\cos(x))e^{y+\sin(x)},y(0)=0
y^{''}-3y^'+2y=0,y(0)=-1/5 ,y^'(0)=-8/5
y^{\prime\:\prime\:}-3y^{\prime\:}+2y=0,y(0)=-\frac{1}{5},y^{\prime\:}(0)=-\frac{8}{5}
laplacetransform 3e^{2t}sin(4t)
laplacetransform\:3e^{2t}\sin(4t)
(\partial)/(\partial β)(sin(α)cos(β))
\frac{\partial\:}{\partial\:β}(\sin(α)\cos(β))
(\partial)/(\partial y)(x^{y^z})
\frac{\partial\:}{\partial\:y}(x^{y^{z}})
derivative of ln(sqrt((2x+1/(x^2-2))))
\frac{d}{dx}(\ln(\sqrt{\frac{2x+1}{x^{2}-2}}))
(\partial)/(\partial x)(4x^{0.5}+2x^{0.25})
\frac{\partial\:}{\partial\:x}(4x^{0.5}+2x^{0.25})
integral of 2xe^{4x}
\int\:2xe^{4x}dx
y^'+3(tan(3x))y=-10cos(3x)
y^{\prime\:}+3(\tan(3x))y=-10\cos(3x)
integral from 0 to 2 of integral of 1
\int\:_{0}^{2}\int\:1
integral of (6x^3-12x^2+5)/(x^2-2x)
\int\:\frac{6x^{3}-12x^{2}+5}{x^{2}-2x}dx
limit as x approaches infinity of e^{-1}
\lim\:_{x\to\:\infty\:}(e^{-1})
derivative of \sqrt[9]{x}-9e^t
derivative\:\sqrt[9]{x}-9e^{t}
integral of (9x^2-8x+3)
\int\:(9x^{2}-8x+3)dx
integral of cos(3x)cos(2x)
\int\:\cos(3x)\cos(2x)dx
integral of 4/(x^2-4x+20)
\int\:\frac{4}{x^{2}-4x+20}dx
area sqrt(x),x,0,2
area\:\sqrt{x},x,0,2
integral of (x^{3/2}+5)^6sqrt(x)
\int\:(x^{\frac{3}{2}}+5)^{6}\sqrt{x}dx
(dy)/(dx)x^2=y-xy
\frac{dy}{dx}x^{2}=y-xy
derivative of f(x)=800-800t^{-1}
derivative\:f(x)=800-800t^{-1}
integral of 4/(x^6)
\int\:\frac{4}{x^{6}}dx
integral of x^2+2x-4
\int\:x^{2}+2x-4dx
integral of tan(8x)sin(8x)cot(8x)
\int\:\tan(8x)\sin(8x)\cot(8x)dx
(\partial)/(\partial y)(2x^3-11x^2y+3y^2)
\frac{\partial\:}{\partial\:y}(2x^{3}-11x^{2}y+3y^{2})
(\partial)/(\partial x)(x-y+xy)
\frac{\partial\:}{\partial\:x}(x-y+xy)
derivative of (6x-1/(3x^2-x))
\frac{d}{dx}(\frac{6x-1}{3x^{2}-x})
integral of (5x^4)/(x^5+8)
\int\:\frac{5x^{4}}{x^{5}+8}dx
integral from 1 to 3 of x/(x^2+1)
\int\:_{1}^{3}\frac{x}{x^{2}+1}dx
derivative of log_{8}(sqrt(x+9))
\frac{d}{dx}(\log_{8}(\sqrt{x+9}))
integral of 13sin^2(xco)s^2x
\int\:13\sin^{2}(xco)s^{2}xdx
integral of 1/(4e^{-9x)+e^{9x}}
\int\:\frac{1}{4e^{-9x}+e^{9x}}dx
derivative of 1/(((b/2+x^2+a^2)^{3/2)})
\frac{d}{dx}(\frac{1}{((\frac{b}{2}+x)^{2}+a^{2})^{\frac{3}{2}}})
integral of e^xsqrt(45+e^x)
\int\:e^{x}\sqrt{45+e^{x}}dx
xdy=8ydx
xdy=8ydx
integral of (2xy^5)/(sqrt(9+x^2y^2-y^4))
\int\:\frac{2xy^{5}}{\sqrt{9+x^{2}y^{2}-y^{4}}}dx
limit as x approaches 9-of (-7)/((x+9))
\lim\:_{x\to\:9-}(\frac{-7}{(x+9)})
limit as x approaches 0 of 8sin(x)ln(x)
\lim\:_{x\to\:0}(8\sin(x)\ln(x))
tangent of f(x)=sqrt(x)(x+1),\at x=1
tangent\:f(x)=\sqrt{x}(x+1),\at\:x=1
derivative of ((8x^2+2x+8))/(sqrt(x))
derivative\:\frac{(8x^{2}+2x+8)}{\sqrt{x}}
(1+x)((dy)/(dx))-xy=x+x^2
(1+x)(\frac{dy}{dx})-xy=x+x^{2}
(\partial)/(\partial x)(e^{2x^2-4y^2})
\frac{\partial\:}{\partial\:x}(e^{2x^{2}-4y^{2}})
tangent of 5/(1+x^2)
tangent\:\frac{5}{1+x^{2}}
d/(dt)((sin(t))/(sqrt(1+t^2)))
\frac{d}{dt}(\frac{\sin(t)}{\sqrt{1+t^{2}}})
integral of (2x+5)(x+1)^{1/2}
\int\:(2x+5)(x+1)^{\frac{1}{2}}dx
taylor e^{-2x}sin(x),0
taylor\:e^{-2x}\sin(x),0
integral of (5x^2+5x+3)/(x(x+1)^2)
\int\:\frac{5x^{2}+5x+3}{x(x+1)^{2}}dx
derivative of (6x^2/((x^3+1)^2))
\frac{d}{dx}(\frac{6x^{2}}{(x^{3}+1)^{2}})
y^{''}+3y^'=0,y(0)=2,y^'(0)=-3
y^{\prime\:\prime\:}+3y^{\prime\:}=0,y(0)=2,y^{\prime\:}(0)=-3
integral of 1/(1-3y)
\int\:\frac{1}{1-3y}dy
y^{''}+2y^'=8sin(2t)+32cos(2t)
y^{\prime\:\prime\:}+2y^{\prime\:}=8\sin(2t)+32\cos(2t)
derivative of f(x)=5x^2-6
derivative\:f(x)=5x^{2}-6
tangent of f(x)=4x^2+2x,(-1,2)
tangent\:f(x)=4x^{2}+2x,(-1,2)
derivative of-1/(2x^2)+(32)/(5x^5)
derivative\:-\frac{1}{2x^{2}}+\frac{32}{5x^{5}}
integral of 1/(x^{-1/2)}
\int\:\frac{1}{x^{-\frac{1}{2}}}dx
derivative of x(4x-12^3)
\frac{d}{dx}(x(4x-12)^{3})
integral of-(4000)/(x^2)
\int\:-\frac{4000}{x^{2}}dx
derivative of sin^2(xcos^3(x))
\frac{d}{dx}(\sin^{2}(x)\cos^{3}(x))
limit as x approaches 0 of xsin(4/x)
\lim\:_{x\to\:0}(x\sin(\frac{4}{x}))
y^'+y+2cos(x)=0
y^{\prime\:}+y+2\cos(x)=0
integral from 4 to 6 of 1/x
\int\:_{4}^{6}\frac{1}{x}dx
limit as x approaches-1 of x^3-4x+1
\lim\:_{x\to\:-1}(x^{3}-4x+1)
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