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Popular Calculus Problems
derivative of 1/(sqrt(u))
derivative\:\frac{1}{\sqrt{u}}
integral from 0 to 0.5 of tan(x)
\int\:_{0}^{0.5}\tan(x)dx
integral of [(x+3)(x-4)+1/(x^2)]
\int\:[(x+3)(x-4)+\frac{1}{x^{2}}]dx
integral of (2x^3+x^2-6x+7)/(x^2+x-6)
\int\:\frac{2x^{3}+x^{2}-6x+7}{x^{2}+x-6}dx
integral of cos(y)
\int\:\cos(y)dy
limit as x approaches 4 of 1/(sqrt(x)-3)
\lim\:_{x\to\:4}(\frac{1}{\sqrt{x}-3})
(\partial)/(\partial x)(x/y+1/x+1/y)
\frac{\partial\:}{\partial\:x}(\frac{x}{y}+\frac{1}{x}+\frac{1}{y})
integral from-1 to 3 of x^3
\int\:_{-1}^{3}x^{3}dx
limit as x approaches 2 of 6^x+2
\lim\:_{x\to\:2}(6^{x}+2)
integral of (3x-2)^3
\int\:(3x-2)^{3}dx
limit as x approaches 0 of 2x-3
\lim\:_{x\to\:0}(2x-3)
slope of (-2.7)(20.16)
slope\:(-2.7)(20.16)
slope of f(x)=-x^2-x+1
slope\:f(x)=-x^{2}-x+1
limit as x approaches 2-of x^2-1
\lim\:_{x\to\:2-}(x^{2}-1)
integral of \sqrt[3]{x}-4x
\int\:\sqrt[3]{x}-4xdx
limit as x approaches 0 of (1+ax)^{1/x}
\lim\:_{x\to\:0}((1+ax)^{\frac{1}{x}})
derivative of (1+x^2^{1/2})
\frac{d}{dx}((1+x^{2})^{\frac{1}{2}})
derivative of (6x+e^{-x^2})^4
derivative\:(6x+e^{-x^{2}})^{4}
derivative of (1/(y^2)-9/(y^4))(y-7y^3)
derivative\:(\frac{1}{y^{2}}-\frac{9}{y^{4}})(y-7y^{3})
integral from a to b of sqrt(25-x^2)
\int\:_{a}^{b}\sqrt{25-x^{2}}dx
derivative of 3sin(x)ln(x)
derivative\:3\sin(x)\ln(x)
derivative of sin(-3x)
derivative\:\sin(-3x)
derivative of (x^3)/(72)+6/x
derivative\:\frac{x^{3}}{72}+\frac{6}{x}
derivative of (x-sin(x)^5)
\frac{d}{dx}((x-\sin(x))^{5})
derivative of (x^3+3x^2+x-1(2x^2-x+1))
\frac{d}{dx}((x^{3}+3x^{2}+x-1)(2x^{2}-x+1))
derivative of y= 1/3-6
derivative\:y=\frac{1}{3}-6
roots cosin(o)
roots\:co\sin(o)
(\partial)/(\partial x)(ln(x+6y+4z))
\frac{\partial\:}{\partial\:x}(\ln(x+6y+4z))
derivative of (s^5-9)^2
derivative\:(s^{5}-9)^{2}
derivative of arctan(9x)
\frac{d}{dx}(\arctan(9x))
integral of (15)/(1-sin^2(x))
\int\:\frac{15}{1-\sin^{2}(x)}dx
derivative of (2^x)/(3x-1)
derivative\:\frac{2^{x}}{3x-1}
integral from 0 to 5 of x/(sqrt(1+3x))
\int\:_{0}^{5}\frac{x}{\sqrt{1+3x}}dx
integral of 1/(xsqrt(x^2-1))
\int\:\frac{1}{x\sqrt{x^{2}-1}}dx
integral of 1/(x/2-3)cos(x/2-3)
\int\:\frac{1}{\frac{x}{2}-3}\cos(\frac{x}{2}-3)dx
derivative of (log_{2}(x))^2
derivative\:(\log_{2}(x))^{2}
derivative of ((3x^7-7x^2+113)/((5x^3)))
\frac{d}{dx}(\frac{(3x^{7}-7x^{2}+113)}{(5x^{3})})
(\partial)/(\partial x)(x/(y^2+x^2))
\frac{\partial\:}{\partial\:x}(\frac{x}{y^{2}+x^{2}})
(dy)/(dx)= 1/x (y^2+0.2y)
\frac{dy}{dx}=\frac{1}{x}(y^{2}+0.2y)
integral of (4x^2+1)/(4x)
\int\:\frac{4x^{2}+1}{4x}dx
integral of 3x^2-5x+7/x+2e^3
\int\:3x^{2}-5x+\frac{7}{x}+2e^{3}dx
(\partial)/(\partial x)(((x+y))/(xy))
\frac{\partial\:}{\partial\:x}(\frac{(x+y)}{xy})
limit as x approaches 2+of x^2+1
\lim\:_{x\to\:2+}(x^{2}+1)
tangent of y=4x-3x^2
tangent\:y=4x-3x^{2}
y^{''}-6y^'+9y=0,y(0)=2,y^'(0)=0
y^{\prime\:\prime\:}-6y^{\prime\:}+9y=0,y(0)=2,y^{\prime\:}(0)=0
integral of 8/(4+x^2)
\int\:\frac{8}{4+x^{2}}dx
(\partial)/(\partial x)(x^3e^{x^2+y}-12y^2)
\frac{\partial\:}{\partial\:x}(x^{3}e^{x^{2}+y}-12y^{2})
derivative of y=-2xsin(x^2)
derivative\:y=-2x\sin(x^{2})
inverse oflaplace (s-3)/(s^2-3s+2)
inverselaplace\:\frac{s-3}{s^{2}-3s+2}
limit as x approaches 10 of sqrt((10x)/(2x+5))
\lim\:_{x\to\:10}(\sqrt{\frac{10x}{2x+5}})
integral of-45t^{2/3}-80
\int\:-45t^{\frac{2}{3}}-80dt
integral from 0 to infinity of 2xe^{-2x}
\int\:_{0}^{\infty\:}2xe^{-2x}dx
derivative of sqrt(x\sqrt{x+1)}
\frac{d}{dx}(\sqrt{x\sqrt{x+1}})
integral of (x^2+5)cos(3x)
\int\:(x^{2}+5)\cos(3x)dx
derivative of f(x)=x^3cos(2x)
derivative\:f(x)=x^{3}\cos(2x)
x(dy)/(dx)=x^3+9x^3y
x\frac{dy}{dx}=x^{3}+9x^{3}y
y^{''}=6x,y(0)=1,y^'(0)=-1
y^{\prime\:\prime\:}=6x,y(0)=1,y^{\prime\:}(0)=-1
integral of 1/(sqrt(49-64x^2))
\int\:\frac{1}{\sqrt{49-64x^{2}}}dx
(\partial)/(\partial y)(x^4+x^2y+x+5)
\frac{\partial\:}{\partial\:y}(x^{4}+x^{2}y+x+5)
derivative of sin((x-3)/(2x))
derivative\:\sin(\frac{x-3}{2x})
integral from-infinity to 0 of 1/(6-3x)
\int\:_{-\infty\:}^{0}\frac{1}{6-3x}dx
derivative of-6x
\frac{d}{dx}(-6x)
derivative of ln(x^6-1)
\frac{d}{dx}(\ln(x^{6}-1))
derivative of e^{sin(x}cos(x))
\frac{d}{dx}(e^{\sin(x)}\cos(x))
integral of 2sqrt(x)-3\sqrt[4]{x}
\int\:2\sqrt{x}-3\sqrt[4]{x}dx
integral of 1/(tanh(3x))
\int\:\frac{1}{\tanh(3x)}dx
3y^{''}+75y=81sin(4t)
3y^{\prime\:\prime\:}+75y=81\sin(4t)
tangent of y=x^3,(2,8)
tangent\:y=x^{3},(2,8)
y^{''}+8y^'+16y=2e^{-4t}
y^{\prime\:\prime\:}+8y^{\prime\:}+16y=2e^{-4t}
(\partial)/(\partial x)(3xln(xy))
\frac{\partial\:}{\partial\:x}(3x\ln(xy))
(\partial)/(\partial x)((x^3+x^4)(x^2+3x)^2)
\frac{\partial\:}{\partial\:x}((x^{3}+x^{4})(x^{2}+3x)^{2})
integral from 1 to 4 of (5x^3-6)
\int\:_{1}^{4}(5x^{3}-6)dx
(dy)/(dx)=sqrt(5y)e^{x+8}
\frac{dy}{dx}=\sqrt{5y}e^{x+8}
integral of sec^3(7x)
\int\:\sec^{3}(7x)dx
y^'=sec(2)(x-y)
y^{\prime\:}=\sec(2)(x-y)
derivative of f(1)=2x^4-x^3+6x^2
derivative\:f(1)=2x^{4}-x^{3}+6x^{2}
limit as x approaches infinity of 3-x
\lim\:_{x\to\:\infty\:}(3-x)
integral of (sqrt(x)-1/(\sqrt[3]{x)})
\int\:(\sqrt{x}-\frac{1}{\sqrt[3]{x}})dx
derivative of (3x-7^{12})
\frac{d}{dx}((3x-7)^{12})
integral of (x+1)/(2x)
\int\:\frac{x+1}{2x}dx
f(x)=e^x+ln(x)
f(x)=e^{x}+\ln(x)
derivative of f(x)=cos(x)-sin(x)
derivative\:f(x)=\cos(x)-\sin(x)
limit as x approaches 4 of (x+4)^2
\lim\:_{x\to\:4}((x+4)^{2})
tangent of (x^2)/(x+10)
tangent\:\frac{x^{2}}{x+10}
derivative of y=5^{4x^2+3x}
derivative\:y=5^{4x^{2}+3x}
derivative of 9xy^2
derivative\:9xy^{2}
d/(dt)(ln(t+1))
\frac{d}{dt}(\ln(t+1))
tangent of f(x)=(2x)/(x+2),\at x=2
tangent\:f(x)=\frac{2x}{x+2},\at\:x=2
xyy^'=1-x^2
xyy^{\prime\:}=1-x^{2}
integral of 1/((x^2-64)^{3/2)}
\int\:\frac{1}{(x^{2}-64)^{\frac{3}{2}}}dx
limit as x approaches 5 of cx^2+6x
\lim\:_{x\to\:5}(cx^{2}+6x)
derivative of y= 1/(2sqrt(x))
derivative\:y=\frac{1}{2\sqrt{x}}
integral of e^{x/3+9}
\int\:e^{\frac{x}{3}+9}dx
limit as x approaches 2 of (x+7)/(x^2-4)
\lim\:_{x\to\:2}(\frac{x+7}{x^{2}-4})
derivative of cos(arcsin(x+3))
derivative\:\cos(\arcsin(x+3))
inverse oflaplace 2/(s(s^2+4s+5))
inverselaplace\:\frac{2}{s(s^{2}+4s+5)}
integral of x(x-4)
\int\:x(x-4)dx
integral of 1/(sqrt(e^{2x-1))}
\int\:\frac{1}{\sqrt{e^{2x-1}}}dx
(\partial}{\partial x}(\frac{y^2)/x)
\frac{\partial\:}{\partial\:x}(\frac{y^{2}}{x})
integral of (7x^3-7x+5)/(x^3-x^2)
\int\:\frac{7x^{3}-7x+5}{x^{3}-x^{2}}dx
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