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Popular Calculus Problems
integral of sin(2pi)
\int\:\sin(2π)
derivative of ln(0)
\frac{d}{dx}(\ln(0))
derivative of xln(2x+1)
\frac{d}{dx}(x\ln(2x+1))
derivative of 1/3 cos(3x)
\frac{d}{dx}(\frac{1}{3}\cos(3x))
derivative of (2x-4^4(x^2+x+1)^5)
\frac{d}{dx}((2x-4)^{4}(x^{2}+x+1)^{5})
integral of ((5x+3))/((x^2+4x+7))
\int\:\frac{(5x+3)}{(x^{2}+4x+7)}dx
derivative of (5x-1^2)
\frac{d}{dx}((5x-1)^{2})
sum from k=1 to infinity of k/(k^2+1)
\sum\:_{k=1}^{\infty\:}\frac{k}{k^{2}+1}
integral from 0 to 1-y of 6x
\int\:_{0}^{1-y}6xdx
(\partial)/(\partial x)(3(((4+x))/(5+z))^2)
\frac{\partial\:}{\partial\:x}(3(\frac{(4+x)}{5+z})^{2})
integral of (sin(x)+sinh(x))
\int\:(\sin(x)+\sinh(x))dx
inverse oflaplace (3s+12)/(s(s^2+4))
inverselaplace\:\frac{3s+12}{s(s^{2}+4)}
derivative of x^{y^x}
\frac{d}{dx}(x^{y^{x}})
integral of 3/(x^2+4)
\int\:\frac{3}{x^{2}+4}dx
integral of x^4sqrt(x^5+3)
\int\:x^{4}\sqrt{x^{5}+3}dx
(\partial)/(\partial y)(2e^{x/2+y}-y)
\frac{\partial\:}{\partial\:y}(2e^{\frac{x}{2}+y}-y)
derivative of (x^2(x+2^4)/((2x^2-1)^3))
\frac{d}{dx}(\frac{x^{2}(x+2)^{4}}{(2x^{2}-1)^{3}})
laplacetransform sin(t-8)
laplacetransform\:\sin(t-8)
(\partial)/(\partial x)(ye^{xz})
\frac{\partial\:}{\partial\:x}(ye^{xz})
derivative of 6x^2sin(xtan(x))
\frac{d}{dx}(6x^{2}\sin(x)\tan(x))
derivative of (1-2ln(x)/(x^3))
\frac{d}{dx}(\frac{1-2\ln(x)}{x^{3}})
(\partial)/(\partial x)(sin(2x+y)sin(y))
\frac{\partial\:}{\partial\:x}(\sin(2x+y)\sin(y))
integral of (x+3)(x^2+6x+7)^6
\int\:(x+3)(x^{2}+6x+7)^{6}dx
integral of (sin(9ln(t)))/t
\int\:\frac{\sin(9\ln(t))}{t}dt
derivative of y=cos((pix)^8)
derivative\:y=\cos((πx)^{8})
tangent of y=3e^xcos(x),(0,3)
tangent\:y=3e^{x}\cos(x),(0,3)
4y^{''}+12y^'+9y=0
4y^{\prime\:\prime\:}+12y^{\prime\:}+9y=0
derivative of f(x)= 1/2 x^8
derivative\:f(x)=\frac{1}{2}x^{8}
slope of (1.5)(2.8)
slope\:(1.5)(2.8)
derivative of x^4-2x^4
derivative\:x^{4}-2x^{4}
integral of-3xe^{-3x}
\int\:-3xe^{-3x}dx
integral from 2 to 3 of 8/(sqrt(3-x))
\int\:_{2}^{3}\frac{8}{\sqrt{3-x}}dx
derivative of f(s)=sqrt((s^2+1)/(s^2+4))
derivative\:f(s)=\sqrt{\frac{s^{2}+1}{s^{2}+4}}
(\partial)/(\partial x)((x^2+5xy-2y)^8)
\frac{\partial\:}{\partial\:x}((x^{2}+5xy-2y)^{8})
laplacetransform e^{-5t}sin(7t)
laplacetransform\:e^{-5t}\sin(7t)
derivative of arctan(sqrt(2x^3))
\frac{d}{dx}(\arctan(\sqrt{2x^{3}}))
integral of 8\sqrt[4]{x}
\int\:8\sqrt[4]{x}dx
integral of ((5x+7))/(x^2+4x+4)
\int\:\frac{(5x+7)}{x^{2}+4x+4}dx
derivative of 10000-9000e^{-0.3x}
\frac{d}{dx}(10000-9000e^{-0.3x})
derivative of (x^2/(e^{3-4x)})
\frac{d}{dx}(\frac{x^{2}}{e^{3-4x}})
derivative of 9/(sin(x)+cos(x))
derivative\:\frac{9}{\sin(x)+\cos(x)}
derivative of (3x/8)
\frac{d}{dx}(\frac{3x}{8})
(\partial)/(\partial s)(rln(r^2+s^2))
\frac{\partial\:}{\partial\:s}(r\ln(r^{2}+s^{2}))
derivative of (80/x)
\frac{d}{dx}(\frac{80}{x})
y^{''}-3y^'+2y=2e^x(1-x)
y^{\prime\:\prime\:}-3y^{\prime\:}+2y=2e^{x}(1-x)
taylor 5xe^x
taylor\:5xe^{x}
integral of (3x^2-5x-17)/((x+3)(x-2)^2)
\int\:\frac{3x^{2}-5x-17}{(x+3)(x-2)^{2}}dx
integral of (e^x+x^2-2^x)
\int\:(e^{x}+x^{2}-2^{x})dx
integral of (2x-4)(x+2)
\int\:(2x-4)(x+2)dx
area sqrt(x-4),x=8
area\:\sqrt{x-4},x=8
2(y-4x^2)dx+xdy=0
2(y-4x^{2})dx+xdy=0
derivative of 8xe^xcsc(x)
derivative\:8xe^{x}\csc(x)
integral of 1/(sqrt(289-x^2))
\int\:\frac{1}{\sqrt{289-x^{2}}}dx
derivative of sin(4x-1/3 cos^2(4x))
\frac{d}{dx}(\sin(4x)-\frac{1}{3}\cos^{2}(4x))
(\partial}{\partial x}(\frac{(a{R}(x)+b+c{R}(x)+de+{f}(x)+{g}(x)e))/x)
\frac{\partial\:}{\partial\:x}(\frac{(a{R}(x)+b+c{R}(x)+de+{f}(x)+{g}(x)e)}{x})
integral of 12x^5
\int\:12x^{5}dx
integral from 0 to 5 of |2x-5|
\int\:_{0}^{5}\left|2x-5\right|dx
derivative of sqrt(2x+6)
\frac{d}{dx}(\sqrt{2x+6})
(\partial)/(\partial x)(4e^{xy})
\frac{\partial\:}{\partial\:x}(4e^{xy})
area y=x,y=4,x=0,x=2sqrt(2)
area\:y=x,y=4,x=0,x=2\sqrt{2}
integral of (3e^x-1/3 x^3)
\int\:(3e^{x}-\frac{1}{3}x^{3})dx
integral of 13xe^{-x^2}
\int\:13xe^{-x^{2}}dx
integral of (-4x)/(e^{x^2)}
\int\:\frac{-4x}{e^{x^{2}}}dx
tangent of f(x)=x-1/x+ln(x),\at x=1
tangent\:f(x)=x-\frac{1}{x}+\ln(x),\at\:x=1
tangent of y=16xsin(x),(pi/2 ,8pi)
tangent\:y=16x\sin(x),(\frac{π}{2},8π)
(\partial)/(\partial y)(xln(y+z))
\frac{\partial\:}{\partial\:y}(x\ln(y+z))
derivative of ln(x^4+2)
derivative\:\ln(x^{4}+2)
(dy)/(dx)=2y-x
\frac{dy}{dx}=2y-x
derivative of (3x^3+4(x^4-2x))
\frac{d}{dx}((3x^{3}+4)(x^{4}-2x))
limit as x approaches 0 of (x^2ln(x))/x
\lim\:_{x\to\:0}(\frac{x^{2}\ln(x)}{x})
(\partial)/(\partial x)((y-2)(arctan(x)))
\frac{\partial\:}{\partial\:x}((y-2)(\arctan(x)))
derivative of (csc(x)/(2^x))
\frac{d}{dx}(\frac{\csc(x)}{2^{x}})
limit as x approaches 0 of (x^2-2x)/x
\lim\:_{x\to\:0}(\frac{x^{2}-2x}{x})
derivative of-sin(5x)
\frac{d}{dx}(-\sin(5x))
integral from 0 to 2pi of sin^2(8x)
\int\:_{0}^{2π}\sin^{2}(8x)dx
(\partial)/(\partial y)(27xy^2+8y^3)
\frac{\partial\:}{\partial\:y}(27xy^{2}+8y^{3})
limit as x approaches 2 of 4x-5
\lim\:_{x\to\:2}(4x-5)
integral of (1-x+2x^2-x^3)/(x^5+2x^3+x)
\int\:\frac{1-x+2x^{2}-x^{3}}{x^{5}+2x^{3}+x}dx
integral from 2 to 3 of (10)/(x^2-1)
\int\:_{2}^{3}\frac{10}{x^{2}-1}dx
integral from 0 to 8 of pi(x+1)^2
\int\:_{0}^{8}π(x+1)^{2}dx
integral of sin^{1/2}(2z)cos^3(2z)
\int\:\sin^{\frac{1}{2}}(2z)\cos^{3}(2z)dz
integral of (8x^3+1/x)
\int\:(8x^{3}+\frac{1}{x})dx
derivative of f(x)=3e^{3e^x+x}
derivative\:f(x)=3e^{3e^{x}+x}
(\partial)/(\partial x)(xz+e^{-x^2+y})
\frac{\partial\:}{\partial\:x}(xz+e^{-x^{2}+y})
derivative of 4^x+1
\frac{d}{dx}(4^{x}+1)
derivative of x^2+3x+5
\frac{d}{dx}(x^{2}+3x+5)
limit as x approaches 2 of 4/((x-2)^3)
\lim\:_{x\to\:2}(\frac{4}{(x-2)^{3}})
derivative of dcos(x+x^2sin(x))
\frac{d}{dx}(d\cos(x)+x^{2}\sin(x))
sum from n=1 to infinity of 3/(n^{5/3)}
\sum\:_{n=1}^{\infty\:}\frac{3}{n^{\frac{5}{3}}}
slope of |x|+3
slope\:\left|x\right|+3
(\partial)/(\partial y)(sinh(2x+3y))
\frac{\partial\:}{\partial\:y}(\sinh(2x+3y))
derivative of (55.9)/(t^2-0.31t+11.2)
derivative\:\frac{55.9}{t^{2}-0.31t+11.2}
(dP)/(dt)=P(5-P)-4
\frac{dP}{dt}=P(5-P)-4
limit as x approaches 2 of x^3*2x^2
\lim\:_{x\to\:2}(x^{3}\cdot\:2x^{2})
(\partial)/(\partial x)(e^{-2x^2})
\frac{\partial\:}{\partial\:x}(e^{-2x^{2}})
8y^{''}-32y=0
8y^{\prime\:\prime\:}-32y=0
derivative of f(x)=18sqrt(x)
derivative\:f(x)=18\sqrt{x}
integral of (11)/(x^3-125)
\int\:\frac{11}{x^{3}-125}dx
derivative of y=ln(6-7x)
derivative\:y=\ln(6-7x)
derivative of cos^2(7x)
\frac{d}{dx}(\cos^{2}(7x))
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