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Popular Calculus Problems
tangent of y=ln(x^2-5x+1),(5,0)
tangent\:y=\ln(x^{2}-5x+1),(5,0)
integral from 0 to pi/3 of xsin(6x)
\int\:_{0}^{\frac{π}{3}}x\sin(6x)dx
integral of (1+sqrt(x))^0
\int\:(1+\sqrt{x})^{0}dx
derivative of sqrt(x)-(1/2 ^x)
\frac{d}{dx}(\sqrt{x}-(\frac{1}{2})^{x})
integral of cos^3(θ)+cos(θ)sin^2(θ)
\int\:\cos^{3}(θ)+\cos(θ)\sin^{2}(θ)dθ
sum from n=1 to infinity of 5/(7^n)
\sum\:_{n=1}^{\infty\:}\frac{5}{7^{n}}
y(x+y+1)dx+2xydy=0
y(x+y+1)dx+2xydy=0
integral from 0 to 4 of x/(x^2+1)
\int\:_{0}^{4}\frac{x}{x^{2}+1}dx
derivative of x^{4/5}-x^{2/3}
\frac{d}{dx}(x^{\frac{4}{5}}-x^{\frac{2}{3}})
integral of (2x)/(x+3)
\int\:\frac{2x}{x+3}dx
derivative of ln((5x^3sin(-5x)/(3-x)))
\frac{d}{dx}(\ln(\frac{5x^{3}\sin(-5x)}{3-x}))
integral from-1 to 2 of (x-2|x|)
\int\:_{-1}^{2}(x-2\left|x\right|)dx
integral of (3x^2+8)/(x^3+8x)
\int\:\frac{3x^{2}+8}{x^{3}+8x}dx
integral of (1/x+2y^2x)
\int\:(\frac{1}{x}+2y^{2}x)dx
derivative of y=sqrt(9-x^2)
derivative\:y=\sqrt{9-x^{2}}
integral of 18x^2
\int\:18x^{2}dx
limit as h approaches 0 of 8
\lim\:_{h\to\:0}(8)
derivative of 3(e^{2x}+2e^{2x}x)
\frac{d}{dx}(3(e^{2x}+2e^{2x}x))
integral of csc(2x)cot(2x)
\int\:\csc(2x)\cot(2x)dx
integral from 0 to pi of sin(x)cos(nx)
\int\:_{0}^{π}\sin(x)\cos(nx)dx
t(dy)/(dt)+3y=3t
t\frac{dy}{dt}+3y=3t
(\partial)/(\partial x)(4xy+yz+5xz-40)
\frac{\partial\:}{\partial\:x}(4xy+yz+5xz-40)
integral of-5e^{2x}
\int\:-5e^{2x}dx
integral of (e^{2x}-3)^2
\int\:(e^{2x}-3)^{2}dx
integral from-pi to 0 of sin^2(x)
\int\:_{-π}^{0}\sin^{2}(x)dx
integral of 1/(x^2+4x+40)
\int\:\frac{1}{x^{2}+4x+40}dx
integral of 1/(x^2-9)
\int\:\frac{1}{x^{2}-9}dx
derivative of P(t)=25e^{0.3t}
derivative\:P(t)=25e^{0.3t}
(\partial ^2)/(\partial x\partial y)(xarcsin(y/x))
\frac{\partial\:^{2}}{\partial\:x\partial\:y}(x\arcsin(\frac{y}{x}))
inverse oflaplace 2/(s^2+2s+2)
inverselaplace\:\frac{2}{s^{2}+2s+2}
integral of 3/2 x^2-\sqrt[3]{x^4}
\int\:\frac{3}{2}x^{2}-\sqrt[3]{x^{4}}dx
derivative of-x^2+x+a
derivative\:-x^{2}+x+a
derivative of 8x^5+45x^4+80x^3+50x^2+200
\frac{d}{dx}(8x^{5}+45x^{4}+80x^{3}+50x^{2}+200)
derivative of e^tcos(t)
derivative\:e^{t}\cos(t)
(x-6)y^'+y=x^2-20
(x-6)y^{\prime\:}+y=x^{2}-20
integral of x^3sqrt(16-x^2)
\int\:x^{3}\sqrt{16-x^{2}}dx
integral of 8x-10y+2
\int\:8x-10y+2dy
integral of (ln(x)cos(x))sin(x)
\int\:(\ln(x)\cos(x))\sin(x)dx
y^'=((1-2t))/y
y^{\prime\:}=\frac{(1-2t)}{y}
integral from 0 to 4 of (4x^2+7x)
\int\:_{0}^{4}(4x^{2}+7x)dx
derivative of e^xx^3
\frac{d}{dx}(e^{x}x^{3})
(dy)/(dx)=(((2y+7))/((8x+9)))^2
\frac{dy}{dx}=(\frac{(2y+7)}{(8x+9)})^{2}
inverse oflaplace (s(s+2))/((s+1)^2)
inverselaplace\:\frac{s(s+2)}{(s+1)^{2}}
integral of 1/(e^ysin^2(e^{-y))}
\int\:\frac{1}{e^{y}\sin^{2}(e^{-y})}dy
derivative of f(x)= 1/(x^7+2)
derivative\:f(x)=\frac{1}{x^{7}+2}
integral of (x^6)
\int\:(x^{6})dx
ty^'=3y+t^4sin(4t),y(pi/4)=0
ty^{\prime\:}=3y+t^{4}\sin(4t),y(\frac{π}{4})=0
derivative of sec(pix)
\frac{d}{dx}(\sec(πx))
integral of (4x+2)/(x+2)
\int\:\frac{4x+2}{x+2}dx
derivative of 1/(\sqrt[3]{4x^2-7})
\frac{d}{dx}(\frac{1}{\sqrt[3]{4x^{2}-7}})
(\partial)/(\partial y)(-x/(y^2))
\frac{\partial\:}{\partial\:y}(-\frac{x}{y^{2}})
xydx+(x^2+y^2)dy=0
xydx+(x^{2}+y^{2})dy=0
integral of 1/((x-5)ln(x-5))
\int\:\frac{1}{(x-5)\ln(x-5)}dx
integral of 7e^{4x}
\int\:7e^{4x}dx
integral from 2 to infinity of e^{-3x}
\int\:_{2}^{\infty\:}e^{-3x}dx
slope of (2,5),(8,-4)
slope\:(2,5),(8,-4)
d/(dt)(7/(sqrt(t)))
\frac{d}{dt}(\frac{7}{\sqrt{t}})
simplify (sin(ln(4)x^2))/x
simplify\:\frac{\sin(\ln(4)x^{2})}{x}
derivative of f(x)=x-2
derivative\:f(x)=x-2
derivative of 2x+2y(dy/(dx))
\frac{d}{dx}(2x+2y\frac{dy}{dx})
area y=2sqrt(x),y=((x^2))/4
area\:y=2\sqrt{x},y=\frac{(x^{2})}{4}
integral of 5x^4e^{4x^5}
\int\:5x^{4}e^{4x^{5}}dx
derivative of sin(t)-tcos(t)
derivative\:\sin(t)-t\cos(t)
implicit (dy)/(dx),y=x^4
implicit\:\frac{dy}{dx},y=x^{4}
derivative of ln(x+sqrt(5+x^2))
derivative\:\ln(x+\sqrt{5+x^{2}})
derivative of (-4/x)
\frac{d}{dx}(\frac{-4}{x})
derivative of x(7x+1)^{1/3}
derivative\:x(7x+1)^{\frac{1}{3}}
tangent of 5x^3-5x
tangent\:5x^{3}-5x
derivative of f(x)=sqrt((x^2)/3)
derivative\:f(x)=\sqrt{\frac{x^{2}}{3}}
integral of ((arctan(x)))/(x^2)
\int\:\frac{(\arctan(x))}{x^{2}}dx
derivative of f(x)=6x
derivative\:f(x)=6x
integral from 0 to 1 of 39 1/(x^p)
\int\:_{0}^{1}39\frac{1}{x^{p}}dx
derivative of ln(sqrt(1-x))
derivative\:\ln(\sqrt{1-x})
integral from-5 to 0 of (2+sqrt(25-x^2))
\int\:_{-5}^{0}(2+\sqrt{25-x^{2}})dx
x^2y^'+(2x^2-x)y=x^4
x^{2}y^{\prime\:}+(2x^{2}-x)y=x^{4}
(\partial)/(\partial y)(x^2-y/4)
\frac{\partial\:}{\partial\:y}(x^{2}-\frac{y}{4})
laplacetransform 9
laplacetransform\:9
tangent of f(x)=(8x)/(x^2+1),\at x=0
tangent\:f(x)=\frac{8x}{x^{2}+1},\at\:x=0
derivative of x(1-2y)
\frac{d}{dx}(x(1-2y))
tangent of (25x^3)/3+10x^2+4x-7
tangent\:\frac{25x^{3}}{3}+10x^{2}+4x-7
derivative of f(x)= 2/(x+3)
derivative\:f(x)=\frac{2}{x+3}
(\partial)/(\partial y)(x^yln(x))
\frac{\partial\:}{\partial\:y}(x^{y}\ln(x))
integral from 0 to sqrt(34 of)x^2-17
\int\:_{0}^{\sqrt{34}}x^{2}-17dx
(\partial)/(\partial y)(xy+3x-2y)
\frac{\partial\:}{\partial\:y}(xy+3x-2y)
integral from 0 to 1 of x^2+2
\int\:_{0}^{1}x^{2}+2dx
integral of (tan(2/x))/(x^2)
\int\:\frac{\tan(\frac{2}{x})}{x^{2}}dx
sum from n=1 to infinity of (2n+1)/(7^n)
\sum\:_{n=1}^{\infty\:}\frac{2n+1}{7^{n}}
integral from-1 to 1 of tan(x)
\int\:_{-1}^{1}\tan(x)dx
limit as x approaches 1-of-x^2+5x+a
\lim\:_{x\to\:1-}(-x^{2}+5x+a)
integral from-pi to pi of sin^2(x)
\int\:_{-π}^{π}\sin^{2}(x)dx
slope of (3,5),(1,-7)
slope\:(3,5),(1,-7)
limit as x approaches+1 of 2sqrt(x-1)
\lim\:_{x\to\:+1}(2\sqrt{x-1})
limit as x approaches 1+of (x^2)/(x^2-x)
\lim\:_{x\to\:1+}(\frac{x^{2}}{x^{2}-x})
y^{''}+36y=36sec^2(6x)
y^{\prime\:\prime\:}+36y=36\sec^{2}(6x)
derivative of (x^2)/(x^2+4)
derivative\:\frac{x^{2}}{x^{2}+4}
(3x)^'
(3x)^{\prime\:}
derivative of tan(tan(x))
\frac{d}{dx}(\tan(\tan(x)))
integral of xe^2
\int\:xe^{2}dx
simplify 2+sin(-pix+pi)
simplify\:2+\sin(-πx+π)
derivative of ln(xsqrt(x^2-4))
\frac{d}{dx}(\ln(x\sqrt{x^{2}-4}))
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