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Popular Calculus Problems
d/(du)(e^ucos(v))
\frac{d}{du}(e^{u}\cos(v))
maclaurin 2sin(3x)
maclaurin\:2\sin(3x)
derivative of 3(cos(x)ln(x)+(sin(x))/x)
derivative\:3(\cos(x)\ln(x)+\frac{\sin(x)}{x})
derivative of ln(sqrt(4+x^2))
\frac{d}{dx}(\ln(\sqrt{4+x^{2}}))
integral of 16tan^3(x)sec(x)
\int\:16\tan^{3}(x)\sec(x)dx
limit as x approaches-1 of (x^4-1)/(x+1)
\lim\:_{x\to\:-1}(\frac{x^{4}-1}{x+1})
limit as x approaches 0-of (1-1/x)^x
\lim\:_{x\to\:0-}((1-\frac{1}{x})^{x})
derivative of x^3ln(7x)
\frac{d}{dx}(x^{3}\ln(7x))
derivative of f(x)=e^{4-5x}(3x^3-2)^6
derivative\:f(x)=e^{4-5x}(3x^{3}-2)^{6}
y^'=2x+y,y(0)=9
y^{\prime\:}=2x+y,y(0)=9
y^{''}-y=10sin^2(x)
y^{\prime\:\prime\:}-y=10\sin^{2}(x)
integral of 2^x(2^{-x}+1)
\int\:2^{x}(2^{-x}+1)dx
integral of 1/(x^2+100)
\int\:\frac{1}{x^{2}+100}dx
sum from n=0 to infinity of (1/10)^n
\sum\:_{n=0}^{\infty\:}(\frac{1}{10})^{n}
laplacetransform 5cos(t/(3000))
laplacetransform\:5\cos(\frac{t}{3000})
integral of e^{-X}
\int\:e^{-X}dX
integral of 3+csc(x)*cot(x)
\int\:3+\csc(x)\cdot\:\cot(x)dx
f(x)=(1+x)/(1+e^x)
f(x)=\frac{1+x}{1+e^{x}}
f(x)=sec^3(x)
f(x)=\sec^{3}(x)
2(d^2y)/(dx^2)+2(dy)/(dx)+3y=0
2\frac{d^{2}y}{dx^{2}}+2\frac{dy}{dx}+3y=0
sum from n=0 to infinity of 83(1/100)^n
\sum\:_{n=0}^{\infty\:}83(\frac{1}{100})^{n}
limit as x approaches 4-of 3-x
\lim\:_{x\to\:4-}(3-x)
limit as x approaches 0 of (tan^2(x))/x
\lim\:_{x\to\:0}(\frac{\tan^{2}(x)}{x})
18y^{''}+3y^'-10y=0
18y^{\prime\:\prime\:}+3y^{\prime\:}-10y=0
derivative of 1/(2x+1)
derivative\:\frac{1}{2x+1}
(\partial)/(\partial x)(-1/(sqrt(x^2+y^2)))
\frac{\partial\:}{\partial\:x}(-\frac{1}{\sqrt{x^{2}+y^{2}}})
derivative of (\sqrt[5]{x^2}/(x^2+1))
\frac{d}{dx}(\frac{\sqrt[5]{x^{2}}}{x^{2}+1})
integral of (\sqrt[15]{x^{13}})
\int\:(\sqrt[15]{x^{13}})dx
integral of 9x^2-4x+3
\int\:9x^{2}-4x+3dx
limit as p approaches 4 of sqrt(p^2+p+5)
\lim\:_{p\to\:4}(\sqrt{p^{2}+p+5})
derivative of e^{2x}cos(5x)
derivative\:e^{2x}\cos(5x)
derivative of f(x)=(6x)/(3+x)
derivative\:f(x)=\frac{6x}{3+x}
derivative of sqrt(144-x^2)
\frac{d}{dx}(\sqrt{144-x^{2}})
derivative of 1+x
derivative\:1+x
xy^'-y= 2/3 xln(x)
xy^{\prime\:}-y=\frac{2}{3}x\ln(x)
derivative of x^{2.4}+e^{2.4}
derivative\:x^{2.4}+e^{2.4}
limit as x approaches 4-of (15)/(x-4)
\lim\:_{x\to\:4-}(\frac{15}{x-4})
area y=20+x-x^2,x^2-5x
area\:y=20+x-x^{2},x^{2}-5x
integral of (3x^5-2x^3)
\int\:(3x^{5}-2x^{3})dx
derivative of cos(tan(x))
derivative\:\cos(\tan(x))
derivative of y=-2x^2
derivative\:y=-2x^{2}
derivative of (x^2)/(3+4x)
derivative\:\frac{x^{2}}{3+4x}
laplacetransform t*e^{-3t}*sin(5t)
laplacetransform\:t\cdot\:e^{-3t}\cdot\:\sin(5t)
derivative of (x^2)/(5+sqrt(x))
derivative\:\frac{x^{2}}{5+\sqrt{x}}
derivative of-1/((x-1)^2)
derivative\:-\frac{1}{(x-1)^{2}}
integral of 2sin(x)+cos(x)-3
\int\:2\sin(x)+\cos(x)-3dx
d/(dy)(e^{-y})
\frac{d}{dy}(e^{-y})
inverse oflaplace x^{1/2}
inverselaplace\:x^{\frac{1}{2}}
derivative of y=5e^{(6x+7)}
derivative\:y=5e^{(6x+7)}
integral of e^{-x}(1+e^{-x})^3
\int\:e^{-x}(1+e^{-x})^{3}dx
derivative of f(x)=sqrt(2-x^2)
derivative\:f(x)=\sqrt{2-x^{2}}
tangent of f(x)=5+5x^2-2x^3,\at x=a
tangent\:f(x)=5+5x^{2}-2x^{3},\at\:x=a
limit as x approaches 0 of 3/(1+x)
\lim\:_{x\to\:0}(\frac{3}{1+x})
derivative of x+sin^2(x)
\frac{d}{dx}(x+\sin^{2}(x))
(2xy+x^2+x^4)dx-(1+x^2)dy=0
(2xy+x^{2}+x^{4})dx-(1+x^{2})dy=0
(\partial)/(\partial x)(x^{(y/z)})
\frac{\partial\:}{\partial\:x}(x^{(\frac{y}{z})})
derivative of 35.4cos(0.1(x+6.2))
derivative\:35.4\cos(0.1(x+6.2))
limit as x approaches 1.01 of 1/(x^2-1)
\lim\:_{x\to\:1.01}(\frac{1}{x^{2}-1})
derivative of 1+3x+9x^2
\frac{d}{dx}(1+3x+9x^{2})
derivative of f(x)=5x^2
derivative\:f(x)=5x^{2}
(9x^2+y-1)dx-(14y-x)dy=0,y(1)=0
(9x^{2}+y-1)dx-(14y-x)dy=0,y(1)=0
integral from 0 to 1 of (x+sqrt(1-x^2))
\int\:_{0}^{1}(x+\sqrt{1-x^{2}})dx
integral of 10^x(2^{-x}+5^{-x})
\int\:10^{x}(2^{-x}+5^{-x})dx
derivative of Ax^2e^{2x}
\frac{d}{dx}(Ax^{2}e^{2x})
integral of e^x-x^{2/5}
\int\:e^{x}-x^{\frac{2}{5}}dx
inverse oflaplace 3/(2s+1)*1/s
inverselaplace\:\frac{3}{2s+1}\cdot\:\frac{1}{s}
derivative of (x-1/x ^2)
\frac{d}{dx}((x-\frac{1}{x})^{2})
limit as t approaches x/2 of (sin(t))/t
\lim\:_{t\to\:\frac{x}{2}}(\frac{\sin(t)}{t})
slope of (-3.5)(4.3)
slope\:(-3.5)(4.3)
(\partial)/(\partial x)(-x/(y^2))
\frac{\partial\:}{\partial\:x}(-\frac{x}{y^{2}})
inverse oflaplace (s+2)/(s^2+2s+2)
inverselaplace\:\frac{s+2}{s^{2}+2s+2}
limit as x approaches-4 of 7-x
\lim\:_{x\to\:-4}(7-x)
integral from-2 to 2 of x^3cos(x/2)
\int\:_{-2}^{2}x^{3}\cos(\frac{x}{2})dx
integral from 0 to 1 of e^{-0.2x}
\int\:_{0}^{1}e^{-0.2x}dx
limit as x approaches infinity+of cos(x)
\lim\:_{x\to\:\infty\:+}(\cos(x))
integral from 1 to 2 of xln(4x)
\int\:_{1}^{2}x\ln(4x)dx
derivative of cos(x)x^3
derivative\:\cos(x)x^{3}
y^{''}-12y^'+36y=te^{6t}
y^{\prime\:\prime\:}-12y^{\prime\:}+36y=te^{6t}
derivative of (2+sin(x)/(2x+cos(x)))
\frac{d}{dx}(\frac{2+\sin(x)}{2x+\cos(x)})
5t(dy)/(dt)-5y=sqrt(t)
5t\frac{dy}{dt}-5y=\sqrt{t}
(\partial)/(\partial y)(y/(sqrt(x^2+y^2)))
\frac{\partial\:}{\partial\:y}(\frac{y}{\sqrt{x^{2}+y^{2}}})
(\partial)/(\partial x)(x^3z+yz)
\frac{\partial\:}{\partial\:x}(x^{3}z+yz)
derivative of 1/((2x+1^2))
\frac{d}{dx}(\frac{1}{(2x+1)^{2}})
derivative of 8/(2x)
\frac{d}{dx}(\frac{8}{2x})
(\partial)/(\partial y)(e^{cos(x-2y)})
\frac{\partial\:}{\partial\:y}(e^{\cos(x-2y)})
derivative of ln(1-8x)
\frac{d}{dx}(\ln(1-8x))
derivative of y=\sqrt[3]{x^2}
derivative\:y=\sqrt[3]{x^{2}}
x(dy)/(dx)-y=3x^4
x\frac{dy}{dx}-y=3x^{4}
derivative of (-3x+1^3(2x-1)^4)
\frac{d}{dx}((-3x+1)^{3}(2x-1)^{4})
derivative of 1/((x^2+3x+2^3))
\frac{d}{dx}(\frac{1}{(x^{2}+3x+2)^{3}})
integral of cosh(x
\int\:\cosh(d)xdx
(\partial)/(\partial x)(x^2y-x)
\frac{\partial\:}{\partial\:x}(x^{2}y-x)
laplacetransform 0.0796-0.066*x^{1/2}
laplacetransform\:0.0796-0.066\cdot\:x^{\frac{1}{2}}
integral from 0 to 1 of 3(1+sqrt(x))^5
\int\:_{0}^{1}3(1+\sqrt{x})^{5}dx
integral from 0 to 1 of (2x-3)
\int\:_{0}^{1}(2x-3)dx
derivative of f(x)=(x^3+2x+7)/(x^2-5)
derivative\:f(x)=\frac{x^{3}+2x+7}{x^{2}-5}
integral from 1 to 1.5 of 2/5 (x+1)
\int\:_{1}^{1.5}\frac{2}{5}(x+1)dx
derivative of f(t)=6t^3-54t^2+70
derivative\:f(t)=6t^{3}-54t^{2}+70
derivative of 1/(\sqrt[3]{x^3+1})
\frac{d}{dx}(\frac{1}{\sqrt[3]{x^{3}+1}})
derivative of (x^2+1/(x^2+x+1))
\frac{d}{dx}(\frac{x^{2}+1}{x^{2}+x+1})
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