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Popular Calculus Problems
integral of (x^6)/2
\int\:\frac{x^{6}}{2}dx
derivative of e^{e^{e^x}}
\frac{d}{dx}(e^{e^{e^{x}}})
limit as x approaches 3 of 1/((3-x))
\lim\:_{x\to\:3}(\frac{1}{(3-x)})
derivative of log_{10}(2+sin(x))
\frac{d}{dx}(\log_{10}(2+\sin(x)))
(\partial)/(\partial x)(tan(8+2x^2y^3z^2))
\frac{\partial\:}{\partial\:x}(\tan(8+2x^{2}y^{3}z^{2}))
derivative of x(2x-5^3)
\frac{d}{dx}(x(2x-5)^{3})
integral of 2cos(x)sin(x)+1/(2x)
\int\:2\cos(x)\sin(x)+\frac{1}{2x}dx
integral of 17sin^2(x)cos^2(x)
\int\:17\sin^{2}(x)\cos^{2}(x)dx
y^'-7/x y=(y^3)/(x^{10)}
y^{\prime\:}-\frac{7}{x}y=\frac{y^{3}}{x^{10}}
area 75-3x^2,[0,7]
area\:75-3x^{2},[0,7]
sum from n=1 to infinity of n(7/8)^n
\sum\:_{n=1}^{\infty\:}n(\frac{7}{8})^{n}
derivative of x^2+4x+5
derivative\:x^{2}+4x+5
(\partial)/(\partial x)(sqrt(x(y-1)))
\frac{\partial\:}{\partial\:x}(\sqrt{x(y-1)})
derivative of x^2log_{2}(x)
\frac{d}{dx}(x^{2}\log_{2}(x))
tangent of (x^3-25x)^{12}(-5)
tangent\:(x^{3}-25x)^{12}(-5)
d/(dt)(((2t+1)^{3/2})/3)
\frac{d}{dt}(\frac{(2t+1)^{\frac{3}{2}}}{3})
tangent of f(x)=(3x+1)(6x-2)
tangent\:f(x)=(3x+1)(6x-2)
inverse oflaplace 1/(s*(s^2+5s+4))
inverselaplace\:\frac{1}{s\cdot\:(s^{2}+5s+4)}
derivative of-6cos(x)
\frac{d}{dx}(-6\cos(x))
integral of (x^2)/((4-x^2)^{1/2)}
\int\:\frac{x^{2}}{(4-x^{2})^{\frac{1}{2}}}dx
derivative of x^2+x^4
\frac{d}{dx}(x^{2}+x^{4})
f(x)= 1/(1-x^2)
f(x)=\frac{1}{1-x^{2}}
derivative of e^{2x^2+3}
\frac{d}{dx}(e^{2x^{2}+3})
tangent of f(x)=(1-x)(x^2-8)^2,\at x=3
tangent\:f(x)=(1-x)(x^{2}-8)^{2},\at\:x=3
derivative of f(x)=7arcsin(x^4)
derivative\:f(x)=7\arcsin(x^{4})
integral of (6x+7)/(x^2+4x+4)
\int\:\frac{6x+7}{x^{2}+4x+4}dx
integral from-3 to 1 of x^2e^{x^3+27}
\int\:_{-3}^{1}x^{2}e^{x^{3}+27}dx
inverse oflaplace ((3s+3))/(s^2-9)
inverselaplace\:\frac{(3s+3)}{s^{2}-9}
integral of cos^3(6x)
\int\:\cos^{3}(6x)dx
area x+y=0,x+y^2=56
area\:x+y=0,x+y^{2}=56
simplify x^n
simplify\:x^{n}
derivative of x^7sqrt(x)
\frac{d}{dx}(x^{7}\sqrt{x})
derivative of f(x)=((x^2+8))/(7x-1)
derivative\:f(x)=\frac{(x^{2}+8)}{7x-1}
integral of x/(sqrt(6x^2+1))
\int\:\frac{x}{\sqrt{6x^{2}+1}}dx
slope of (2x+2y)^3=8x^3+8y^3
slope\:(2x+2y)^{3}=8x^{3}+8y^{3}
integral of ((tan(x))/(sin(x)cos(x)))
\int\:(\frac{\tan(x)}{\sin(x)\cos(x)})dx
derivative of f(x) 3/(sqrt(x))
derivative\:f(x)\frac{3}{\sqrt{x}}
area f(x)=2x^2+3,x,[-1,2]
area\:f(x)=2x^{2}+3,x,[-1,2]
limit as x approaches-2 of x^2+x-2
\lim\:_{x\to\:-2}(x^{2}+x-2)
tangent of f(x)=2x^2-x+1,\at x=1
tangent\:f(x)=2x^{2}-x+1,\at\:x=1
xy^3dx+(y+1)e^{-x}dy=0
xy^{3}dx+(y+1)e^{-x}dy=0
tangent of f(x)=x^2+2,\at x=2
tangent\:f(x)=x^{2}+2,\at\:x=2
derivative of-5x^2
derivative\:-5x^{2}
derivative of 4(x^3-x)^4
derivative\:4(x^{3}-x)^{4}
(dP)/(dt)=4sqrt(Pt),P(1)=7
\frac{dP}{dt}=4\sqrt{Pt},P(1)=7
integral of cos^3(6xsi)n^{-2}6x
\int\:\cos^{3}(6xsi)n^{-2}6x
taylor e^x,0
taylor\:e^{x},0
integral of (x-1)/(4x^2-4x+3)
\int\:\frac{x-1}{4x^{2}-4x+3}dx
y^'=(2x+1)/(x^2-3x+2),y(3)=0
y^{\prime\:}=\frac{2x+1}{x^{2}-3x+2},y(3)=0
x(dy)/(dx)=1+3y+y^2
x\frac{dy}{dx}=1+3y+y^{2}
derivative of xcos(x+2tan(x))
\frac{d}{dx}(x\cos(x)+2\tan(x))
tangent of-x^2+7x+2,\at x=3
tangent\:-x^{2}+7x+2,\at\:x=3
tangent of y=2x^3-x^2+1,(1,2)
tangent\:y=2x^{3}-x^{2}+1,(1,2)
limit as x approaches 0+of (sqrt(x))/x
\lim\:_{x\to\:0+}(\frac{\sqrt{x}}{x})
(\partial)/(\partial x)((2-sqrt(x))^6)
\frac{\partial\:}{\partial\:x}((2-\sqrt{x})^{6})
(\partial)/(\partial x)(2xy-4x)
\frac{\partial\:}{\partial\:x}(2xy-4x)
sum from n=0 to infinity of e^{-n}
\sum\:_{n=0}^{\infty\:}e^{-n}
integral of 2y^2
\int\:2y^{2}dy
integral of ((x+1)/((x-3)^2))
\int\:(\frac{x+1}{(x-3)^{2}})dx
(\partial)/(\partial z)(xyz)
\frac{\partial\:}{\partial\:z}(xyz)
integral of (3/x-x/3)
\int\:(\frac{3}{x}-\frac{x}{3})dx
slope of (5,-4),(7,-4)
slope\:(5,-4),(7,-4)
integral of (e^{1/t})/(t^2)
\int\:\frac{e^{\frac{1}{t}}}{t^{2}}dt
derivative of sqrt(2x^2-x)
\frac{d}{dx}(\sqrt{2x^{2}-x})
inverse oflaplace (2s+16)/(s^2+4s+13)
inverselaplace\:\frac{2s+16}{s^{2}+4s+13}
-18x^2y^{''}+4x(x+9)y^'-4(x+9)y=-4x^3
-18x^{2}y^{\prime\:\prime\:}+4x(x+9)y^{\prime\:}-4(x+9)y=-4x^{3}
limit as x approaches 9 of sqrt(x)
\lim\:_{x\to\:9}(\sqrt{x})
integral of x/(25+x^2)
\int\:\frac{x}{25+x^{2}}dx
limit as x approaches 4 of e^4+4
\lim\:_{x\to\:4}(e^{4}+4)
limit as x approaches 5 of x/(x^2-25)
\lim\:_{x\to\:5}(\frac{x}{x^{2}-25})
integral of (sin^2(x))/(cos^2(x))
\int\:\frac{\sin^{2}(x)}{\cos^{2}(x)}dx
taylor x+1
taylor\:x+1
derivative of f(x)=6^{2x}+3^x
derivative\:f(x)=6^{2x}+3^{x}
(dy)/(dx)=(e^{3x+2y})
\frac{dy}{dx}=(e^{3x+2y})
integral from-3 to 3 of 1/(1+x^2)
\int\:_{-3}^{3}\frac{1}{1+x^{2}}dx
(dy)/(dx)=x^8y^{-7}
\frac{dy}{dx}=x^{8}y^{-7}
t*(dy)/(dt)=t^3+9t^3y
t\cdot\:\frac{dy}{dt}=t^{3}+9t^{3}y
derivative of (x^2+x^2sin^3(2x))
\frac{d}{dx}((x^{2}+x)^{2}\sin^{3}(2x))
limit as x approaches 0 of ln(x+e^{2x})
\lim\:_{x\to\:0}(\ln(x+e^{2x}))
integral of 1/(x^2+6x+9)
\int\:\frac{1}{x^{2}+6x+9}dx
derivative of x^3(x^2+1)^7
derivative\:x^{3}(x^{2}+1)^{7}
derivative of x^2sin^9(+xcos^{-2}(x))
derivative\:x^{2}\sin^{9}(+x\cos^{-2}(x))
integral of 3x^2+2x-3
\int\:3x^{2}+2x-3dx
(4y+t^2y)dy-(2t+ty^2)dt=0
(4y+t^{2}y)dy-(2t+ty^{2})dt=0
integral of \sqrt[3]{5-2x^2}(-4x)
\int\:\sqrt[3]{5-2x^{2}}(-4x)dx
integral from 0 to 1 of arcsin(x)
\int\:_{0}^{1}\arcsin(x)dx
(\partial)/(\partial y)(y+2-2/x)
\frac{\partial\:}{\partial\:y}(y+2-\frac{2}{x})
integral of x^2sqrt(10+x^3)
\int\:x^{2}\sqrt{10+x^{3}}dx
sum from n=1 to infinity of (ln(n))/(6n)
\sum\:_{n=1}^{\infty\:}\frac{\ln(n)}{6n}
integral of 4x^5e^{-x^3}
\int\:4x^{5}e^{-x^{3}}dx
derivative of 1-ln(x)
\frac{d}{dx}(1-\ln(x))
derivative of f(x)=(x^3)/2
derivative\:f(x)=\frac{x^{3}}{2}
integral from-2pi to-pi of cos^2(x)
\int\:_{-2π}^{-π}\cos^{2}(x)dx
derivative of (-sin(x)^2)
\frac{d}{dx}((-\sin(x))^{2})
limit as x approaches 0 of x^2+5
\lim\:_{x\to\:0}(x^{2}+5)
integral of 1/(sqrt(2-5x^2))
\int\:\frac{1}{\sqrt{2-5x^{2}}}dx
integral from 3 to 9 of t^2ln(4t)
\int\:_{3}^{9}t^{2}\ln(4t)dt
derivative of ((sin(x))/(1+cos(x)))
\frac{d}{dx}(\frac{(\sin(x))}{1+\cos(x)})
limit as x approaches 0+of xln(3x)
\lim\:_{x\to\:0+}(x\ln(3x))
derivative of (6x)/(5-cot(x))
derivative\:\frac{6x}{5-\cot(x)}
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