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Popular Calculus Problems
(\partial)/(\partial x)(\sqrt[3]{x^4})
\frac{\partial\:}{\partial\:x}(\sqrt[3]{x^{4}})
derivative of ((x^3/(x^8+9))^2)
\frac{d}{dx}((\frac{x^{3}}{x^{8}+9})^{2})
2yy^'+2=y^2+2x
2yy^{\prime\:}+2=y^{2}+2x
derivative of (x^2/4)
\frac{d}{dx}(\frac{x^{2}}{4})
derivative of (sin(x))/x
derivative\:\frac{\sin(x)}{x}
integral of (12)/(x^4)
\int\:\frac{12}{x^{4}}dx
derivative of arctan(x/2)
derivative\:\arctan(\frac{x}{2})
(dy)/(dx)-50y=-y^2
\frac{dy}{dx}-50y=-y^{2}
integral from 2 to x of 1/8 (x-2)
\int\:_{2}^{x}\frac{1}{8}(x-2)dx
sum from n=1 to infinity of (-6)^nx^n
\sum\:_{n=1}^{\infty\:}(-6)^{n}x^{n}
integral of (x^2)/(1-2x^3)
\int\:\frac{x^{2}}{1-2x^{3}}dx
derivative of (e^x/(7x^2+9))
\frac{d}{dx}(\frac{e^{x}}{7x^{2}+9})
limit as x approaches-7 of 12
\lim\:_{x\to\:-7}(12)
derivative of x^2-8x+17
derivative\:x^{2}-8x+17
integral of (x^2+5)(x-3)
\int\:(x^{2}+5)(x-3)dx
derivative of x/(sqrt(x^2+1))
derivative\:\frac{x}{\sqrt{x^{2}+1}}
integral of e^{-st}*t^2
\int\:e^{-st}\cdot\:t^{2}dt
integral of 3x^2-4
\int\:3x^{2}-4dx
area 5x-x^2,2x,[0,3]
area\:5x-x^{2},2x,[0,3]
derivative of arcsec(x+3)
\frac{d}{dx}(\arcsec(x+3))
integral of 2sin^3(3xco)s^33x
\int\:2\sin^{3}(3xco)s^{3}3xdx
integral of x^4e^{-x}
\int\:x^{4}e^{-x}dx
(\partial)/(\partial t)(-t)
\frac{\partial\:}{\partial\:t}(-t)
tangent of f(x)=sqrt(1-x),\at x=0
tangent\:f(x)=\sqrt{1-x},\at\:x=0
limit as x approaches 0 of 5
\lim\:_{x\to\:0}(5)
(dy)/(dx)=e^y(x^2-x)
\frac{dy}{dx}=e^{y}(x^{2}-x)
derivative of (2x/(9-tan(x)))
\frac{d}{dx}(\frac{2x}{9-\tan(x)})
sum from n=1 to infinity of 4(2/3)^n
\sum\:_{n=1}^{\infty\:}4(\frac{2}{3})^{n}
derivative of-2sin(4x)
\frac{d}{dx}(-2\sin(4x))
integral of (sqrt(x^2-169))/x
\int\:\frac{\sqrt{x^{2}-169}}{x}dx
derivative of (-2/(x^2))
\frac{d}{dx}(\frac{-2}{x^{2}})
derivative of ln(1+5x)
derivative\:\ln(1+5x)
implicit (dy)/(dx),y=13^x
implicit\:\frac{dy}{dx},y=13^{x}
derivative of-2/(sqrt(e^x))
\frac{d}{dx}(-\frac{2}{\sqrt{e^{x}}})
derivative of (cos(x)/(e^x))
\frac{d}{dx}(\frac{\cos(x)}{e^{x}})
derivative of x^4-2x^2+1
\frac{d}{dx}(x^{4}-2x^{2}+1)
limit as x approaches infinity of x^{-3}
\lim\:_{x\to\:\infty\:}(x^{-3})
limit as x approaches pi+of x/(sin(x))
\lim\:_{x\to\:π+}(\frac{x}{\sin(x)})
derivative of 15ln(x)
\frac{d}{dx}(15\ln(x))
derivative of f(x)=8x(x^2+3)^3
derivative\:f(x)=8x(x^{2}+3)^{3}
derivative of sin^8(x)
derivative\:\sin^{8}(x)
integral of (e^{2x})/4
\int\:\frac{e^{2x}}{4}dx
(\partial)/(\partial x)(xy^2e^{3x^2y-y^2})
\frac{\partial\:}{\partial\:x}(xy^{2}e^{3x^{2}y-y^{2}})
derivative of 3e^2
\frac{d}{dx}(3e^{2})
derivative of ((sqrt(x)+x))/(x^2)
derivative\:\frac{(\sqrt{x}+x)}{x^{2}}
integral of x^3sqrt(x^2+20)
\int\:x^{3}\sqrt{x^{2}+20}dx
integral of (7x^3)/(sqrt(3+x^2))
\int\:\frac{7x^{3}}{\sqrt{3+x^{2}}}dx
inverse oflaplace 8/(9s^2+9s+4)
inverselaplace\:\frac{8}{9s^{2}+9s+4}
derivative of (x^2+32sqrt(x))/8
derivative\:\frac{x^{2}+32\sqrt{x}}{8}
inverse oflaplace 8/(s-1)-3/s
inverselaplace\:\frac{8}{s-1}-\frac{3}{s}
derivative of (2x^2)+(sqrt(x-8))
derivative\:(2x^{2})+(\sqrt{x-8})
limit as x approaches 5 of (x+5)/(x-5)
\lim\:_{x\to\:5}(\frac{x+5}{x-5})
limit as x approaches 0 of x/(x^2+4x)
\lim\:_{x\to\:0}(\frac{x}{x^{2}+4x})
sum from n=1 to infinity of (1-3/n)^n
\sum\:_{n=1}^{\infty\:}(1-\frac{3}{n})^{n}
integral of (e^{x/2})
\int\:(e^{\frac{x}{2}})dx
(\partial)/(\partial x)(2xyz-ye^{2xyz})
\frac{\partial\:}{\partial\:x}(2xyz-ye^{2xyz})
slope of (3.1)(1.7)
slope\:(3.1)(1.7)
sum from n=1 to infinity of (-3)^nx^n
\sum\:_{n=1}^{\infty\:}(-3)^{n}x^{n}
derivative of-sin(x^22x)
\frac{d}{dx}(-\sin(x^{2})2x)
(dy)/(dx)+9(tan(9x))y=cos(9x)
\frac{dy}{dx}+9(\tan(9x))y=\cos(9x)
limit as x approaches 4-of (|2x|)/x
\lim\:_{x\to\:4-}(\frac{\left|2x\right|}{x})
derivative of-32t
derivative\:-32t
derivative of sqrt(2)cos(x)
\frac{d}{dx}(\sqrt{2}\cos(x))
tangent of f(x)=sqrt(7-4x),\at x=-1
tangent\:f(x)=\sqrt{7-4x},\at\:x=-1
integral of sqrt(1+cos(2x))
\int\:\sqrt{1+\cos(2x)}dx
(d^2y)/(dx^2)+5(dy)/(dx)+4y=0
\frac{d^{2}y}{dx^{2}}+5\frac{dy}{dx}+4y=0
(dy)/(dx)=y^2(x+1)
\frac{dy}{dx}=y^{2}(x+1)
integral of 1/(9e^y+e^{-y)}
\int\:\frac{1}{9e^{y}+e^{-y}}dy
derivative of (\sqrt[5]{x^2}/(sin(x)))
\frac{d}{dx}(\frac{\sqrt[5]{x^{2}}}{\sin(x)})
sum from n=1 to infinity of (2^n)/(n^3)
\sum\:_{n=1}^{\infty\:}\frac{2^{n}}{n^{3}}
derivative of x^2+10x+25
\frac{d}{dx}(x^{2}+10x+25)
integral of (sin(3x))^2
\int\:(\sin(3x))^{2}dx
(\partial)/(\partial x)(-yln(y)sin(xln(y)))
\frac{\partial\:}{\partial\:x}(-y\ln(y)\sin(x\ln(y)))
limit as x approaches-1 of x^2-2ln(x)
\lim\:_{x\to\:-1}(x^{2}-2\ln(x))
(\partial)/(\partial x)(4z-18xy)
\frac{\partial\:}{\partial\:x}(4z-18xy)
integral of (1+cos(7x))/6
\int\:\frac{1+\cos(7x)}{6}dx
y^{1/2}(dy)/(dx)+y^{3/2}=1
y^{\frac{1}{2}}\frac{dy}{dx}+y^{\frac{3}{2}}=1
(\partial)/(\partial x)((x^2)/(1+t^2))
\frac{\partial\:}{\partial\:x}(\frac{x^{2}}{1+t^{2}})
integral of 8cos^4(x)
\int\:8\cos^{4}(x)dx
integral of 12x^2+2
\int\:12x^{2}+2dx
integral of (x^4)/(sqrt(4x^2-9))
\int\:\frac{x^{4}}{\sqrt{4x^{2}-9}}dx
derivative of x^2-5x+3
derivative\:x^{2}-5x+3
limit as x approaches-1 of (x-31)^{2/5}
\lim\:_{x\to\:-1}((x-31)^{\frac{2}{5}})
(\partial)/(\partial x)(x^{x^2+y^2+z^2})
\frac{\partial\:}{\partial\:x}(x^{x^{2}+y^{2}+z^{2}})
sin(2x)dx+cos(6y)dy=0,y(pi/2)= pi/6
\sin(2x)dx+\cos(6y)dy=0,y(\frac{π}{2})=\frac{π}{6}
integral of e^{3x+5}
\int\:e^{3x+5}dx
(\partial)/(\partial y)((xy^2)/(x^2+y^2))
\frac{\partial\:}{\partial\:y}(\frac{xy^{2}}{x^{2}+y^{2}})
integral of 1/(x^{-0.1)}
\int\:\frac{1}{x^{-0.1}}dx
limit as x approaches infinity of x*(arctan(e^x)-pi/2)
\lim\:_{x\to\:\infty\:}(x\cdot\:(\arctan(e^{x})-\frac{π}{2}))
(d^2)/(dx^2)(e^{-2x})
\frac{d^{2}}{dx^{2}}(e^{-2x})
integral of 1/((x^4-1)^2)
\int\:\frac{1}{(x^{4}-1)^{2}}dx
parity y=sqrt(x+\sqrt{x+\sqrt{x)}}
parity\:y=\sqrt{x+\sqrt{x+\sqrt{x}}}
(\partial)/(\partial y)(-e^{-x}sin(yz))
\frac{\partial\:}{\partial\:y}(-e^{-x}\sin(yz))
integral of 1/(v^2+2v)
\int\:\frac{1}{v^{2}+2v}dv
integral of 1/((x^2+1)^{3/2)}
\int\:\frac{1}{(x^{2}+1)^{\frac{3}{2}}}dx
derivative of-(3x+2cos(2x))
\frac{d}{dx}(-(3x+2)\cos(2x))
f(x)=sin(x)+1/2 cot(x)
f(x)=\sin(x)+\frac{1}{2}\cot(x)
sum from n=0 to infinity of n/(2n+4)
\sum\:_{n=0}^{\infty\:}\frac{n}{2n+4}
integral of-(sin(x)tan(x))/1
\int\:-\frac{\sin(x)\tan(x)}{1}dx
(dy)/(dt)-(4t)/((1+4t^2))y=4t
\frac{dy}{dt}-\frac{4t}{(1+4t^{2})}y=4t
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