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Popular Calculus Problems
derivative of 5(x^3-x)^4
derivative\:5(x^{3}-x)^{4}
limit as x approaches 0+of xln(tan(2x))
\lim\:_{x\to\:0+}(x\ln(\tan(2x)))
integral of x(2sec^2(x)+tan^2(x))
\int\:x(2\sec^{2}(x)+\tan^{2}(x))dx
derivative of f(x)=2x^3+3x^2-12x+4
derivative\:f(x)=2x^{3}+3x^{2}-12x+4
limit as x approaches pi/4 of (sin(x))/x
\lim\:_{x\to\:\frac{π}{4}}(\frac{\sin(x)}{x})
(dy)/(dt)=2y
\frac{dy}{dt}=2y
d/(dy)(sqrt(4-y^2))
\frac{d}{dy}(\sqrt{4-y^{2}})
integral from-7 to 0 of (4+sqrt(49-x^2))
\int\:_{-7}^{0}(4+\sqrt{49-x^{2}})dx
integral of (2x^2+5x+2)/((x^2+1)^2)
\int\:\frac{2x^{2}+5x+2}{(x^{2}+1)^{2}}dx
e^{y^2}dx+x^2ydy=0
e^{y^{2}}dx+x^{2}ydy=0
(d^2y)/(dx^2)-2(dy)/(dx)+y=e^x
\frac{d^{2}y}{dx^{2}}-2\frac{dy}{dx}+y=e^{x}
integral of (sqrt(25-16x^2))/x
\int\:\frac{\sqrt{25-16x^{2}}}{x}dx
integral of 1/(x^2)+\sqrt[3]{x}
\int\:\frac{1}{x^{2}}+\sqrt[3]{x}dx
(\partial)/(\partial x)(y/(y^2+x^2))
\frac{\partial\:}{\partial\:x}(\frac{y}{y^{2}+x^{2}})
integral from-1 to 1 of xcos(npix)
\int\:_{-1}^{1}x\cos(nπx)dx
integral of 1/(sqrt(1-v^2))
\int\:\frac{1}{\sqrt{1-v^{2}}}dv
integral of (sqrt(x)-2)^2
\int\:(\sqrt{x}-2)^{2}dx
derivative of (1-ln(x)/(1+ln(x)))
\frac{d}{dx}(\frac{1-\ln(x)}{1+\ln(x)})
tangent of 5/(sqrt(x)),\at x=a
tangent\:\frac{5}{\sqrt{x}},\at\:x=a
integral of 1/(x^3(sqrt((x^2-9))))
\int\:\frac{1}{x^{3}(\sqrt{(x^{2}-9)})}dx
derivative of (e^x-1^2)
\frac{d}{dx}((e^{x}-1)^{2})
integral of 2x(x^2+3)^6
\int\:2x(x^{2}+3)^{6}dx
derivative of 1/(u^{1/2)}
derivative\:\frac{1}{u^{\frac{1}{2}}}
(\partial)/(\partial x)(x^{y/(y+z)})
\frac{\partial\:}{\partial\:x}(x^{\frac{y}{y+z}})
f^{''}(x)=x^{-3}+pix^2-sqrt(2)
f^{\prime\:\prime\:}(x)=x^{-3}+πx^{2}-\sqrt{2}
tangent of f(x)=2x^2-3x,\at x=4
tangent\:f(x)=2x^{2}-3x,\at\:x=4
derivative of (4x/(2-x^2))
\frac{d}{dx}(\frac{4x}{2-x^{2}})
(dx)/(dt)(1)-x=e^{2t}
\frac{dx}{dt}(1)-x=e^{2t}
(\partial)/(\partial x)(2x^2+y^2-9y)
\frac{\partial\:}{\partial\:x}(2x^{2}+y^{2}-9y)
2y^{''}+7y^'+5y=0
2y^{\prime\:\prime\:}+7y^{\prime\:}+5y=0
integral from 3 to 5 of (-x^2+8x-12)
\int\:_{3}^{5}(-x^{2}+8x-12)dx
limit as x approaches 2 of 3x+6
\lim\:_{x\to\:2}(3x+6)
integral of (x^2+1)(x^3+3x)
\int\:(x^{2}+1)(x^{3}+3x)dx
derivative of 8e^2
\frac{d}{dx}(8e^{2})
sum from n=1 to infinity of 1/(n^{3/2)}
\sum\:_{n=1}^{\infty\:}\frac{1}{n^{\frac{3}{2}}}
derivative of (87x/(99x-87))
\frac{d}{dx}(\frac{87x}{99x-87})
inverse oflaplace (s+1)/(s^2-5s+6)
inverselaplace\:\frac{s+1}{s^{2}-5s+6}
area y=x^3-6x^2+9x,y=x
area\:y=x^{3}-6x^{2}+9x,y=x
(\partial)/(\partial x)(-x(x^2+y^2+z^2)^{-3/2})
\frac{\partial\:}{\partial\:x}(-x(x^{2}+y^{2}+z^{2})^{-\frac{3}{2}})
integral of 100-x
\int\:100-xdx
integral of sec^3(x
\int\:\sec^{3}(d)xdx
limit as x approaches-(5pi)/2 of sec(x)
\lim\:_{x\to\:-\frac{5π}{2}}(\sec(x))
(d^2y)/(dt^2)+9y=cos(2t)
\frac{d^{2}y}{dt^{2}}+9y=\cos(2t)
integral of (10)/(x^3-x^2+6x)
\int\:\frac{10}{x^{3}-x^{2}+6x}dx
integral of 2x-7
\int\:2x-7dx
d/(dθ)(-sin(θ))
\frac{d}{dθ}(-\sin(θ))
tangent of y=2x^3-x^2+3,(2,15)
tangent\:y=2x^{3}-x^{2}+3,(2,15)
1/2 y^{''}+2y=2tan(2t)-1/2 e^{3t}
\frac{1}{2}y^{\prime\:\prime\:}+2y=2\tan(2t)-\frac{1}{2}e^{3t}
slope ofintercept (6,-6),(8,8)
slopeintercept\:(6,-6),(8,8)
tangent of x^3+y^3-6xy=0,(4/3 , 8/3)
tangent\:x^{3}+y^{3}-6xy=0,(\frac{4}{3},\frac{8}{3})
(\partial)/(\partial x)(e^{x^2y}+xy^3)
\frac{\partial\:}{\partial\:x}(e^{x^{2}y}+xy^{3})
derivative of 9ln(4x)
\frac{d}{dx}(9\ln(4x))
tangent of sqrt(x-4)
tangent\:\sqrt{x-4}
derivative of e^{x^y}
\frac{d}{dx}(e^{x^{y}})
derivative of e^{x^2}sin(x^3-2)
\frac{d}{dx}(e^{x^{2}}\sin(x^{3}-2))
derivative of x(x+1)
\frac{d}{dx}(x(x+1))
derivative of 8^{x-5}
\frac{d}{dx}(8^{x-5})
derivative of x(x^2-1^2)
\frac{d}{dx}(x(x^{2}-1)^{2})
y^{''}+25y=30sin(5t)
y^{\prime\:\prime\:}+25y=30\sin(5t)
limit as x approaches 0 of sqrt(x^2)
\lim\:_{x\to\:0}(\sqrt{x^{2}})
derivative of ln(x+sqrt(x^2-12))
\frac{d}{dx}(\ln(x+\sqrt{x^{2}-12}))
area 3e^x,3xe^{x^2},0,1
area\:3e^{x},3xe^{x^{2}},0,1
integral of 3tsin(t)cos(t)
\int\:3t\sin(t)\cos(t)dt
(x^4+2x^3y^2)dx+x^4ydy=0
(x^{4}+2x^{3}y^{2})dx+x^{4}ydy=0
(dy)/(dt)-2y=3e^{-2t},y(0)=10
\frac{dy}{dt}-2y=3e^{-2t},y(0)=10
(\partial)/(\partial x)(x^3+2x^2y+x+2y)
\frac{\partial\:}{\partial\:x}(x^{3}+2x^{2}y+x+2y)
integral of 1/(X^2)DX
\int\:\frac{1}{X^{2}}DXdX
sum from n=0 to infinity of 20000
\sum\:_{n=0}^{\infty\:}20000
derivative of g(x)=(9ln(x))/(4x+5)
derivative\:g(x)=\frac{9\ln(x)}{4x+5}
integral of 1/((2x+1)^3)
\int\:\frac{1}{(2x+1)^{3}}dx
derivative of y=10csc(9x^4-9x+4)
derivative\:y=10\csc(9x^{4}-9x+4)
inverse oflaplace 1/(s[(s+2)^2+1])
inverselaplace\:\frac{1}{s[(s+2)^{2}+1]}
y^'=(x+2y-1)/(x+2y+7)
y^{\prime\:}=\frac{x+2y-1}{x+2y+7}
derivative of f(x)=8sqrt(x^3+7x)
derivative\:f(x)=8\sqrt{x^{3}+7x}
y^'-y=4
y^{\prime\:}-y=4
integral of (x^2-6x)
\int\:(x^{2}-6x)dx
limit as x approaches 0 of h(x)
\lim\:_{x\to\:0}(h(x))
integral of (sin(x)cos(x))/(1+sin^2(x))
\int\:\frac{\sin(x)\cos(x)}{1+\sin^{2}(x)}dx
derivative of e^{5x}
\frac{d}{dx}(e^{5x})
y^{''}=y
y^{\prime\:\prime\:}=y
integral of 1/(sqrt(1-6x^2))
\int\:\frac{1}{\sqrt{1-6x^{2}}}dx
derivative of (x^3/(sqrt(x)+x))
\frac{d}{dx}(\frac{x^{3}}{\sqrt{x}+x})
derivative of x^3-2x^2+x
\frac{d}{dx}(x^{3}-2x^{2}+x)
limit as x approaches 0+of x^{x^4}
\lim\:_{x\to\:0+}(x^{x^{4}})
tangent of f(x)= 1/3 x^3-3/2 x^2-4x
tangent\:f(x)=\frac{1}{3}x^{3}-\frac{3}{2}x^{2}-4x
(\partial)/(\partial x)(1+2xsqrt(y))
\frac{\partial\:}{\partial\:x}(1+2x\sqrt{y})
inverse oflaplace s/((s+2)^2+1)
inverselaplace\:\frac{s}{(s+2)^{2}+1}
integral of 7x^5+6x^4-3x^3-9x+5
\int\:7x^{5}+6x^{4}-3x^{3}-9x+5dx
integral of 1/((x))
\int\:\frac{1}{(x)}dx
(dr)/(dθ)=(r^2+8rθ)/(4θ^2)
\frac{dr}{dθ}=\frac{r^{2}+8rθ}{4θ^{2}}
y^{''}-y^'+6y=0
y^{\prime\:\prime\:}-y^{\prime\:}+6y=0
d/(dθ)(4/(2cos(θ)-sin(θ)))
\frac{d}{dθ}(\frac{4}{2\cos(θ)-\sin(θ)})
tangent of f(x)=(8x)/(x^2+1),(1,4)
tangent\:f(x)=\frac{8x}{x^{2}+1},(1,4)
derivative of (4x/(3-tan(x)))
\frac{d}{dx}(\frac{4x}{3-\tan(x)})
limit as x approaches 0 of sin(ax)
\lim\:_{x\to\:0}(\sin(ax))
inverse oflaplace (10s)/(s^2+16)
inverselaplace\:\frac{10s}{s^{2}+16}
integral of 1/(sin^2(2x+pi/4))
\int\:\frac{1}{\sin^{2}(2x+\frac{π}{4})}dx
integral from 2 to infinity of 1/(v^2+5v-6)
\int\:_{2}^{\infty\:}\frac{1}{v^{2}+5v-6}dv
integral of ((3x+4)^2)/(sqrt(x))
\int\:\frac{(3x+4)^{2}}{\sqrt{x}}dx
limit as x approaches-1 of sqrt(x)
\lim\:_{x\to\:-1}(\sqrt{x})
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