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Popular Calculus Problems
limit as x approaches 0 of-9/(1-9x)
\lim\:_{x\to\:0}(-\frac{9}{1-9x})
(\partial)/(\partial y)((x^2)/(y^2+1))
\frac{\partial\:}{\partial\:y}(\frac{x^{2}}{y^{2}+1})
(\partial)/(\partial y)(5x^2y)
\frac{\partial\:}{\partial\:y}(5x^{2}y)
derivative of (x^2-4x+20/(x^2+6x+8))
\frac{d}{dx}(\frac{x^{2}-4x+20}{x^{2}+6x+8})
derivative of f(x)=(2x^2+4x+4)/(sqrt(x))
derivative\:f(x)=\frac{2x^{2}+4x+4}{\sqrt{x}}
tangent of y= 1/6 x^3+2/5 x^2
tangent\:y=\frac{1}{6}x^{3}+\frac{2}{5}x^{2}
integral of-sin(e^x)e^{2x}
\int\:-\sin(e^{x})e^{2x}dx
slope of (-5,4),(2,4)
slope\:(-5,4),(2,4)
area y=2x^2,y=0,x=2
area\:y=2x^{2},y=0,x=2
integral of e^{-0.05x}
\int\:e^{-0.05x}dx
y^'+3=y+3x
y^{\prime\:}+3=y+3x
inverse oflaplace 1/(s^2+s-20)
inverselaplace\:\frac{1}{s^{2}+s-20}
tangent of y=xsqrt(x),(16,64)
tangent\:y=x\sqrt{x},(16,64)
integral of sqrt(36-x^2)
\int\:\sqrt{36-x^{2}}dx
(d^2)/(dx^2)(6/x)
\frac{d^{2}}{dx^{2}}(\frac{6}{x})
integral of 1/((1+x^3))
\int\:\frac{1}{(1+x^{3})}dx
limit as x approaches 2+of ln(x^2-4)
\lim\:_{x\to\:2+}(\ln(x^{2}-4))
y^{''}-2y^'+4y=0,y(0)=1,y^'(0)=2
y^{\prime\:\prime\:}-2y^{\prime\:}+4y=0,y(0)=1,y^{\prime\:}(0)=2
derivative of p(θ)=sqrt(11θ)
derivative\:p(θ)=\sqrt{11θ}
integral of x^3+1/(x^3)
\int\:x^{3}+\frac{1}{x^{3}}dx
(\partial)/(\partial x)(4z)
\frac{\partial\:}{\partial\:x}(4z)
integral of x/(2+x^2)
\int\:\frac{x}{2+x^{2}}dx
f^'(x)=x^{2/3}
f^{\prime\:}(x)=x^{\frac{2}{3}}
normal of y=x^4+4e^x,(0,4)
normal\:y=x^{4}+4e^{x},(0,4)
integral of (x+3)/(x^2+6x)
\int\:\frac{x+3}{x^{2}+6x}dx
integral of 3e^x-1/x
\int\:3e^{x}-\frac{1}{x}dx
tangent of f(x)=sqrt(x^2+45),\at x=2
tangent\:f(x)=\sqrt{x^{2}+45},\at\:x=2
integral from 0 to pi/2 of sin^7(x)
\int\:_{0}^{\frac{π}{2}}\sin^{7}(x)dx
integral of (x^3+14)/(x^2+3x+2)
\int\:\frac{x^{3}+14}{x^{2}+3x+2}dx
simplify cos(sqrt(2t))
simplify\:\cos(\sqrt{2t})
(dy)/(dx)=y^2+1,y(4)=0
\frac{dy}{dx}=y^{2}+1,y(4)=0
limit as x approaches 1 of (cos(x))/x
\lim\:_{x\to\:1}(\frac{\cos(x)}{x})
sum from n=1 to infinity of 5^{-n}
\sum\:_{n=1}^{\infty\:}5^{-n}
(\partial)/(\partial x)(arcsin(l/x))
\frac{\partial\:}{\partial\:x}(\arcsin(\frac{l}{x}))
limit as n approaches infinity of n/2
\lim\:_{n\to\:\infty\:}(\frac{n}{2})
derivative of (x+9/(sqrt(x)))
\frac{d}{dx}(\frac{x+9}{\sqrt{x}})
derivative of 0.09e^xsqrt(x)
derivative\:0.09e^{x}\sqrt{x}
slope of (2,-6),(-6,-10)
slope\:(2,-6),(-6,-10)
integral of x\sqrt[3]{1+x^2}
\int\:x\sqrt[3]{1+x^{2}}dx
sum from n=0 to infinity of 8(1/2)^{n-1}
\sum\:_{n=0}^{\infty\:}8(\frac{1}{2})^{n-1}
roots x^2y
roots\:x^{2}y
integral of 15sin^2(θ)
\int\:15\sin^{2}(θ)dθ
limit as x approaches 3 of 3/((x-3)^2)
\lim\:_{x\to\:3}(\frac{3}{(x-3)^{2}})
derivative of ln((x^2/5+9/x))
\frac{d}{dx}(\ln(\frac{x^{2}}{5}+\frac{9}{x}))
tangent of y=2x^2-sqrt(x),(1,1)
tangent\:y=2x^{2}-\sqrt{x},(1,1)
derivative of sqrt(5x)+(sqrt(7)/x)
\frac{d}{dx}(\sqrt{5x}+\frac{\sqrt{7}}{x})
integral from 1 to 5 of (ln(x))/(x^5)
\int\:_{1}^{5}\frac{\ln(x)}{x^{5}}dx
derivative of f(x)=4x^3-11x^2-14x+19
derivative\:f(x)=4x^{3}-11x^{2}-14x+19
limit as x approaches 0 of ((1+tan(x))/(1+sin(x)))^{1/(sin(x))}
\lim\:_{x\to\:0}((\frac{1+\tan(x)}{1+\sin(x)})^{\frac{1}{\sin(x)}})
integral from 6 to 8 of (82)/((x-6)^3)
\int\:_{6}^{8}\frac{82}{(x-6)^{3}}dx
derivative of (2x-x^2^3)
\frac{d}{dx}((2x-x^{2})^{3})
(\partial)/(\partial x)(y^2cos(xy^2))
\frac{\partial\:}{\partial\:x}(y^{2}\cos(xy^{2}))
integral of (x^4)/((x^4-1))
\int\:\frac{x^{4}}{(x^{4}-1)}dx
d/(dt)(e^{-3t}sin(3t))
\frac{d}{dt}(e^{-3t}\sin(3t))
derivative of y=x^{7/5}+e^{-4x}
derivative\:y=x^{\frac{7}{5}}+e^{-4x}
d/(dt)(sqrt(t+1))
\frac{d}{dt}(\sqrt{t+1})
derivative of \sqrt[4]{1/x}
\frac{d}{dx}(\sqrt[4]{\frac{1}{x}})
slope of (-4.3)(3.1)
slope\:(-4.3)(3.1)
derivative of sqrt(x)(3x+1)
\frac{d}{dx}(\sqrt{x}(3x+1))
(\partial)/(\partial x)(arcsec(-x))
\frac{\partial\:}{\partial\:x}(\arcsec(-x))
(\partial)/(\partial y)(ycos(x-y))
\frac{\partial\:}{\partial\:y}(y\cos(x-y))
integral from 0 to 3 of e^{2x}
\int\:_{0}^{3}e^{2x}dx
integral of-2cot(x)
\int\:-2\cot(x)dx
derivative of x^{-1/2}cos(x)
\frac{d}{dx}(x^{-\frac{1}{2}}\cos(x))
derivative of arccos(2/x)
\frac{d}{dx}(\arccos(\frac{2}{x}))
integral from x to x^2 of e^{t^7}
\int\:_{x}^{x^{2}}e^{t^{7}}dt
integral from 0 to 0.6 of (150x)
\int\:_{0}^{0.6}(150x)dx
derivative of 4/((x+2^2))
\frac{d}{dx}(\frac{4}{(x+2)^{2}})
integral of (x^4+9x^2+x+2)/(x^2+9)
\int\:\frac{x^{4}+9x^{2}+x+2}{x^{2}+9}dx
limit as x approaches-2 of (2-x)/(2+x)
\lim\:_{x\to\:-2}(\frac{2-x}{2+x})
derivative of 2x^2(3x^4-2)
derivative\:2x^{2}(3x^{4}-2)
(\partial)/(\partial x)(6xsin(x^2y))
\frac{\partial\:}{\partial\:x}(6x\sin(x^{2}y))
normal of y=(x-2)^{2/3},(3,1)
normal\:y=(x-2)^{\frac{2}{3}},(3,1)
integral of e^{-1/3 x}
\int\:e^{-\frac{1}{3}x}dx
derivative of cot(e^x)
\frac{d}{dx}(\cot(e^{x}))
integral of (x+4)/(x^2+6x+18)
\int\:\frac{x+4}{x^{2}+6x+18}dx
sum from n=3 to infinity of (4/10)^n
\sum\:_{n=3}^{\infty\:}(\frac{4}{10})^{n}
derivative of 4(5-8x^5)
\frac{d}{dx}(4(5-8x)^{5})
(\partial)/(\partial x)(x^2y+10xy)
\frac{\partial\:}{\partial\:x}(x^{2}y+10xy)
derivative of y=ln(8)x^2
derivative\:y=\ln(8)x^{2}
derivative of (2x-9)^2
derivative\:(2x-9)^{2}
integral of x^3e^{x^2-1}
\int\:x^{3}e^{x^{2}-1}dx
limit as x approaches infinity of 4/3
\lim\:_{x\to\:\infty\:}(\frac{4}{3})
tangent of y=sqrt(x),(16,4)
tangent\:y=\sqrt{x},(16,4)
y^'+y/x = 7/(x^2)+3
y^{\prime\:}+\frac{y}{x}=\frac{7}{x^{2}}+3
integral of (ex^2+pi)
\int\:(ex^{2}+π)dx
limit as x approaches 0 of ((2|x|))/(3x)
\lim\:_{x\to\:0}(\frac{(2\left|x\right|)}{3x})
integral of sin^4(x)cos(x)
\int\:\sin^{4}(x)\cos(x)dx
(\partial)/(\partial x)(x^2+y^2-ycos(x))
\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}-y\cos(x))
integral from 1 to 2 of 1/(8(2+2x-x^2))
\int\:_{1}^{2}\frac{1}{8(2+2x-x^{2})}dx
integral of-(x^2)/((-x+1)(x+1))
\int\:-\frac{x^{2}}{(-x+1)(x+1)}dx
derivative of Ae^x+Be^{-x}
\frac{d}{dx}(Ae^{x}+Be^{-x})
xy^'=((1-x)y+x^2+x^3),y(3)=2
xy^{\prime\:}=((1-x)y+x^{2}+x^{3}),y(3)=2
limit as x approaches 3-of x/(|x|)
\lim\:_{x\to\:3-}(\frac{x}{\left|x\right|})
(\partial)/(\partial x)(2y^7+7y^9x^6)
\frac{\partial\:}{\partial\:x}(2y^{7}+7y^{9}x^{6})
integral of 2x(x+1)
\int\:2x(x+1)dx
limit as x approaches 2 of x^3+8
\lim\:_{x\to\:2}(x^{3}+8)
derivative of 7xarcsin(x)
\frac{d}{dx}(7x\arcsin(x))
derivative of (200t)/(t+2)
derivative\:\frac{200t}{t+2}
integral of 1/((ln(x))^3x)
\int\:\frac{1}{(\ln(x))^{3}x}dx
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