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Popular Calculus Problems
(\partial)/(\partial x)(1/(xy))
\frac{\partial\:}{\partial\:x}(\frac{1}{xy})
integral of e^{3-4x}
\int\:e^{3-4x}dx
7y^{''}+13y^'-2y=0
7y^{\prime\:\prime\:}+13y^{\prime\:}-2y=0
limit as x approaches (pi/2)+of 6e^{tan(x)}
\lim\:_{x\to\:(\frac{π}{2})+}(6e^{\tan(x)})
simplify 2t^{-1/4}
simplify\:2t^{-\frac{1}{4}}
area x^{1/3}-x^{1/2},[1,27]
area\:x^{\frac{1}{3}}-x^{\frac{1}{2}},[1,27]
integral of cos(arcsin(x))
\int\:\cos(\arcsin(x))dx
integral from 0 to pi of cos^4(2x)
\int\:_{0}^{π}\cos^{4}(2x)dx
derivative of 8x^3-2x
\frac{d}{dx}(8x^{3}-2x)
limit as x approaches+1000 of 18pi^2
\lim\:_{x\to\:+1000}(18π^{2})
(\partial)/(\partial r)(e^{r^2}cos(θ))
\frac{\partial\:}{\partial\:r}(e^{r^{2}}\cos(θ))
simplify-(3x)/(2y)
simplify\:-\frac{3x}{2y}
derivative of arccsc(3x)
\frac{d}{dx}(\arccsc(3x))
integral of ((x^{-1/2})/(1+x^{1/2)})
\int\:(\frac{x^{-\frac{1}{2}}}{1+x^{\frac{1}{2}}})dx
integral of (tan(5x)+csc^3(3θ))
\int\:(\tan(5x)+\csc^{3}(3θ))dθ
slope of (-2,0),(-3,-3)
slope\:(-2,0),(-3,-3)
integral of (sec^2(x)+1)
\int\:(\sec^{2}(x)+1)dx
y^{''}=-x
y^{\prime\:\prime\:}=-x
laplacetransform F(x)=e^{2x}cos(2x)
laplacetransform\:F(x)=e^{2x}\cos(2x)
derivative of (4x^2+5)/(x^2+9)
derivative\:\frac{4x^{2}+5}{x^{2}+9}
integral of t*e^{-2t}
\int\:t\cdot\:e^{-2t}dt
integral of (2x^2)/3
\int\:\frac{2x^{2}}{3}dx
integral of sin(12x)\sqrt[3]{cos(12x)}
\int\:\sin(12x)\sqrt[3]{\cos(12x)}dx
derivative of 2sqrt(t^3)
derivative\:2\sqrt{t^{3}}
integral of 5xe^{3x^2}
\int\:5xe^{3x^{2}}dx
integral of 1/(x(ln(x^2))^8)
\int\:\frac{1}{x(\ln(x^{2}))^{8}}dx
integral of 7sin(x)cos(x)
\int\:7\sin(x)\cos(x)dx
d/(dt)((csc^2(t))/(-cot(t)(csc(t))))
\frac{d}{dt}(\frac{\csc^{2}(t)}{-\cot(t)(\csc(t))})
derivative of (xcos(x+sin(x))/(x^2+1))
\frac{d}{dx}(\frac{x\cos(x)+\sin(x)}{x^{2}+1})
integral of 2x^3+7
\int\:2x^{3}+7dx
sum from n=1 to infinity of tan(1/n)
\sum\:_{n=1}^{\infty\:}\tan(\frac{1}{n})
sum from n=0 to infinity of 1/(ln(n+1))
\sum\:_{n=0}^{\infty\:}\frac{1}{\ln(n+1)}
sum from n=0 to infinity of 10
\sum\:_{n=0}^{\infty\:}10
limit as x approaches-5 of |x-5|
\lim\:_{x\to\:-5}(\left|x-5\right|)
integral of x/(sqrt(a^2+x^2))
\int\:\frac{x}{\sqrt{a^{2}+x^{2}}}dx
y^'+3x^2y=10x^2
y^{\prime\:}+3x^{2}y=10x^{2}
(\partial)/(\partial y)(2x^3y-4)
\frac{\partial\:}{\partial\:y}(2x^{3}y-4)
((t^2+1)dy)/(dt)+ty=0,y(0)=3
\frac{(t^{2}+1)dy}{dt}+ty=0,y(0)=3
derivative of (x^2-xe^{-x})
\frac{d}{dx}((x^{2}-x)e^{-x})
limit as x approaches 0 of sin^2(3x)
\lim\:_{x\to\:0}(\sin^{2}(3x))
(\partial)/(\partial x)(x^2y-y^2-2x^2)
\frac{\partial\:}{\partial\:x}(x^{2}y-y^{2}-2x^{2})
derivative of 3+sqrt(5x)
\frac{d}{dx}(3+\sqrt{5x})
(\partial)/(\partial x)(4x+cy+2z)
\frac{\partial\:}{\partial\:x}(4x+cy+2z)
integral of x^3(1+x^2)^{-1/2}
\int\:x^{3}(1+x^{2})^{-\frac{1}{2}}dx
limit as x approaches 0 of (x-sin(2x))/x
\lim\:_{x\to\:0}(\frac{x-\sin(2x)}{x})
integral of sin(x)(cot(x)+csc(x))
\int\:\sin(x)(\cot(x)+\csc(x))dx
derivative of sqrt(2t+3)
derivative\:\sqrt{2t+3}
integral of sin(x)(2-3cos(x))^2
\int\:\sin(x)(2-3\cos(x))^{2}dx
integral of cos(5t)e^t
\int\:\cos(5t)e^{t}dt
integral of xsin(3x^2)
\int\:x\sin(3x^{2})dx
integral from-infinity to-1 of x^{-7/3}
\int\:_{-\infty\:}^{-1}x^{-\frac{7}{3}}dx
integral of tan^2(θ)
\int\:\tan^{2}(θ)dθ
derivative of cos(pixpi)
\frac{d}{dx}(\cos(πx)π)
integral of (2+x)/((x-5)(x+1))
\int\:\frac{2+x}{(x-5)(x+1)}dx
integral of 1/(e^{ax)}
\int\:\frac{1}{e^{ax}}dx
inverse oflaplace 1/s-1/(s+1)
inverselaplace\:\frac{1}{s}-\frac{1}{s+1}
(d^3)/(dx^3)(sqrt(4t+3))
\frac{d^{3}}{dx^{3}}(\sqrt{4t+3})
derivative of f(x)=5x-2
derivative\:f(x)=5x-2
derivative of f(x)=(5x^3+1)/(2x-3)
derivative\:f(x)=\frac{5x^{3}+1}{2x-3}
integral of (6sec(x)-cos(x))^2
\int\:(6\sec(x)-\cos(x))^{2}dx
integral of (5t-3)/(t+1)
\int\:\frac{5t-3}{t+1}dt
sum from n=0 to infinity of 1/((2n+1)!)
\sum\:_{n=0}^{\infty\:}\frac{1}{(2n+1)!}
(\partial)/(\partial x)(2xe^{sqrt(xy)})
\frac{\partial\:}{\partial\:x}(2xe^{\sqrt{xy}})
sum from n=1 to infinity of (n(n+1))/2
\sum\:_{n=1}^{\infty\:}\frac{n(n+1)}{2}
integral of e^{-t(s+3)}
\int\:e^{-t(s+3)}dt
derivative of y= 3/(x^3)
derivative\:y=\frac{3}{x^{3}}
limit as x approaches 6 of (3x)/(x^2-6x)
\lim\:_{x\to\:6}(\frac{3x}{x^{2}-6x})
taylor cos(x)*e^x
taylor\:\cos(x)\cdot\:e^{x}
inverse oflaplace (1+2s^2)/(s^2(s+4))
inverselaplace\:\frac{1+2s^{2}}{s^{2}(s+4)}
integral from 1 to infinity of sqrt(x)
\int\:_{1}^{\infty\:}\sqrt{x}dx
(\partial)/(\partial x)(1+ln(y)+x/y)
\frac{\partial\:}{\partial\:x}(1+\ln(y)+\frac{x}{y})
(dy)/(dx)= y/x+3x+7
\frac{dy}{dx}=\frac{y}{x}+3x+7
factor 3x^4-12x^3
factor\:3x^{4}-12x^{3}
derivative of sin^5(x/3)
\frac{d}{dx}(\sin^{5}(\frac{x}{3}))
integral of 1/(x^2sqrt(8-x^2))
\int\:\frac{1}{x^{2}\sqrt{8-x^{2}}}dx
integral of x/((x+4)^2)
\int\:\frac{x}{(x+4)^{2}}dx
integral of x/(x+3)
\int\:\frac{x}{x+3}dx
(\partial)/(\partial y)(x+e^y)
\frac{\partial\:}{\partial\:y}(x+e^{y})
limit as t approaches 3 of 2t^{-1}
\lim\:_{t\to\:3}(2t^{-1})
derivative of (5+6x-8sqrt(x)/x)
\frac{d}{dx}(\frac{5+6x-8\sqrt{x}}{x})
(d^2)/(dx^2)(e^{2/x})
\frac{d^{2}}{dx^{2}}(e^{\frac{2}{x}})
integral of ((x^2-x+28))/(x^3+7x)
\int\:\frac{(x^{2}-x+28)}{x^{3}+7x}dx
(\partial)/(\partial y)(3x^2y^2-4y)
\frac{\partial\:}{\partial\:y}(3x^{2}y^{2}-4y)
(\partial)/(\partial x)(te^{s/t})
\frac{\partial\:}{\partial\:x}(te^{\frac{s}{t}})
integral of 7x(x^3+6)
\int\:7x(x^{3}+6)dx
d/(dt)(1-e^{-t})
\frac{d}{dt}(1-e^{-t})
(\partial)/(\partial x)(insqrt(xy))
\frac{\partial\:}{\partial\:x}(in\sqrt{xy})
y^'(t)=(y-1)(y+1),y(0)=3
y^{\prime\:}(t)=(y-1)(y+1),y(0)=3
limit as x approaches 14 of 7-tan(7)
\lim\:_{x\to\:14}(7-\tan(7))
integral of sin(1-3x)
\int\:\sin(1-3x)dx
integral of 1/(9x^6)
\int\:\frac{1}{9x^{6}}dx
integral of (5x^3-6x+4)/(x^3-x^2)
\int\:\frac{5x^{3}-6x+4}{x^{3}-x^{2}}dx
derivative of 2x^{3/2}+3
\frac{d}{dx}(2x^{\frac{3}{2}}+3)
derivative of (arctan(3x))^2
derivative\:(\arctan(3x))^{2}
derivative of 15sin(-pixtan(2/3 pix))
\frac{d}{dx}(15\sin(-πx)\tan(\frac{2}{3}πx))
integral from-1 to 1 of (x)
\int\:_{-1}^{1}(x)dx
integral of (2-v)/(v^2+2v-3)
\int\:\frac{2-v}{v^{2}+2v-3}dv
(dy)/(dx)+(2/x)y=8x
\frac{dy}{dx}+(\frac{2}{x})y=8x
(\partial)/(\partial x)(x^3+axy^2)
\frac{\partial\:}{\partial\:x}(x^{3}+axy^{2})
limit as x approaches-infinity of (4arctan(8x))/(e^x+2)
\lim\:_{x\to\:-\infty\:}(\frac{4\arctan(8x)}{e^{x}+2})
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