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Popular Calculus Problems
(\partial)/(\partial x)(ysin(3x))
\frac{\partial\:}{\partial\:x}(y\sin(3x))
integral of (-8x+5)/(x^3+4x)
\int\:\frac{-8x+5}{x^{3}+4x}dx
limit as x approaches 36 of x^{3/2}
\lim\:_{x\to\:36}(x^{\frac{3}{2}})
y^{''}+x=7y
y^{\prime\:\prime\:}+x=7y
(\partial)/(\partial y)(2xe^{-2xy})
\frac{\partial\:}{\partial\:y}(2xe^{-2xy})
(\partial)/(\partial x)(z^2x)
\frac{\partial\:}{\partial\:x}(z^{2}x)
parity sqrt(x+\sqrt{x+\sqrt{x)}}
parity\:\sqrt{x+\sqrt{x+\sqrt{x}}}
y^{''}+6y^'+5y=12te^{5t}
y^{\prime\:\prime\:}+6y^{\prime\:}+5y=12te^{5t}
limit as x approaches 2 of 4x^2+3
\lim\:_{x\to\:2}(4x^{2}+3)
limit as x approaches 1 of 2x^2+1
\lim\:_{x\to\:1}(2x^{2}+1)
(dy)/(dx)-y-e^{3x}=0
\frac{dy}{dx}-y-e^{3x}=0
tangent of f(x)=x^4-20x^2+64,\at x=-1
tangent\:f(x)=x^{4}-20x^{2}+64,\at\:x=-1
limit as x approaches 3 of |x|
\lim\:_{x\to\:3}(\left|x\right|)
tangent of ((4x^2))/((2-2x)^3)
tangent\:\frac{(4x^{2})}{(2-2x)^{3}}
(dy)/(dx)= x/(42+x^2)
\frac{dy}{dx}=\frac{x}{42+x^{2}}
integral from 1 to 1000 of 1/(x^2)
\int\:_{1}^{1000}\frac{1}{x^{2}}dx
integral of (y+1)x^2
\int\:(y+1)x^{2}
derivative of sin(pit)
derivative\:\sin(πt)
area y=8sqrt(x),y=8x^3
area\:y=8\sqrt{x},y=8x^{3}
derivative of sin(y+xy-x^3)
\frac{d}{dx}(\sin(y)+xy-x^{3})
derivative of (x+1^{ln(x)})
\frac{d}{dx}((x+1)^{\ln(x)})
y^{''}+2y^'=2x+7-e^{-2x}
y^{\prime\:\prime\:}+2y^{\prime\:}=2x+7-e^{-2x}
integral from-1 to 1 of (x^2-1)^2
\int\:_{-1}^{1}(x^{2}-1)^{2}dx
integral of (sqrt(x)-1)/(sqrt(x))
\int\:\frac{\sqrt{x}-1}{\sqrt{x}}dx
6xy^'+y=x^4
6xy^{\prime\:}+y=x^{4}
derivative of e^x(3x+1^3)
\frac{d}{dx}(e^{x}(3x+1)^{3})
derivative of (e^x/y)
\frac{d}{dx}(\frac{e^{x}}{y})
derivative of f(x)=3x^2-ln(x)
derivative\:f(x)=3x^{2}-\ln(x)
taylor 2/x ,3
taylor\:\frac{2}{x},3
x^2y^{''}+xy^'-y= 1/x
x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}-y=\frac{1}{x}
(dy)/(dx)=((4y+3)/(8x+5))^2
\frac{dy}{dx}=(\frac{4y+3}{8x+5})^{2}
integral of cos(x^2)x
\int\:\cos(x^{2})xdx
inverse oflaplace 8/((s^2+6s+8))
inverselaplace\:\frac{8}{(s^{2}+6s+8)}
derivative of log_{10}((arcsin(x)^2))
\frac{d}{dx}(\log_{10}((\arcsin(x))^{2}))
integral from-1 to 1 of (x^2-2x+3)
\int\:_{-1}^{1}(x^{2}-2x+3)dx
(\partial)/(\partial x)(y^4-6xy)
\frac{\partial\:}{\partial\:x}(y^{4}-6xy)
y^'+4y=e^{3x}
y^{\prime\:}+4y=e^{3x}
limit as x approaches 0 of 1/1
\lim\:_{x\to\:0}(\frac{1}{1})
integral of (x^2+6)sin(2x)
\int\:(x^{2}+6)\sin(2x)dx
maclaurin ln(e+x)
maclaurin\:\ln(e+x)
integral from 0 to 0.5 of x(4-8x)
\int\:_{0}^{0.5}x(4-8x)dx
integral of xcos(nx)
\int\:x\cos(nx)dx
taylor sqrt(1-2x^2)
taylor\:\sqrt{1-2x^{2}}
limit as x approaches 4 of x-5
\lim\:_{x\to\:4}(x-5)
derivative of (x^2+5/(e^x))
\frac{d}{dx}(\frac{x^{2}+5}{e^{x}})
inverse oflaplace (s+3)/(s^2+4s+4)
inverselaplace\:\frac{s+3}{s^{2}+4s+4}
maclaurin 1/(1+2x^3)
maclaurin\:\frac{1}{1+2x^{3}}
integral of sec^{14}(x)tan(x)
\int\:\sec^{14}(x)\tan(x)dx
derivative of (12/(x^5))
\frac{d}{dx}(\frac{12}{x^{5}})
integral of sin(t)
\int\:\sin(t)dt
(dy)/(dt)=y(8-y)
\frac{dy}{dt}=y(8-y)
integral of 1/((x+2))
\int\:\frac{1}{(x+2)}dx
slope of (1,-2),(-5,0)
slope\:(1,-2),(-5,0)
integral of 1/(cos^2(x+1))
\int\:\frac{1}{\cos^{2}(x+1)}dx
integral of xln(1+x)
\int\:x\ln(1+x)dx
integral from 0 to 4 of (4sqrt(x))-(2x)
\int\:_{0}^{4}(4\sqrt{x})-(2x)dx
derivative of 2x^2+5x
derivative\:2x^{2}+5x
limit as x approaches 0 of x^3sin(1/x)
\lim\:_{x\to\:0}(x^{3}\sin(\frac{1}{x}))
derivative of f(x)=2sec(x)
derivative\:f(x)=2\sec(x)
derivative of f(x)=pi^9
derivative\:f(x)=π^{9}
derivative of (18)/((x-6)^2)
derivative\:\frac{18}{(x-6)^{2}}
y^{''}+6y^'+9y=t+e^{3t}
y^{\prime\:\prime\:}+6y^{\prime\:}+9y=t+e^{3t}
integral of (x^2+5x+12)/(sqrt(x))
\int\:\frac{x^{2}+5x+12}{\sqrt{x}}dx
slope of xy-5y^2=4,(12,2)
slope\:xy-5y^{2}=4,(12,2)
limit as x approaches 0 of (2sin(x))/x
\lim\:_{x\to\:0}(\frac{2\sin(x)}{x})
derivative of x/((x-1^{2/3)(x+2)^{1/3}})
\frac{d}{dx}(\frac{x}{(x-1)^{\frac{2}{3}}(x+2)^{\frac{1}{3}}})
derivative of x^2y^4e^y-x^2y^2-3x
\frac{d}{dx}(x^{2}y^{4}e^{y}-x^{2}y^{2}-3x)
integral of sec^4(9x)
\int\:\sec^{4}(9x)dx
y^'=cos(y-x+3)
y^{\prime\:}=\cos(y-x+3)
integral of 7tan(7x)
\int\:7\tan(7x)dx
integral of 3tan(x)
\int\:3\tan(x)dx
d/(dt)(t/(sqrt(t^2+16)))
\frac{d}{dt}(\frac{t}{\sqrt{t^{2}+16}})
area-x^3+x^2+16x,4x
area\:-x^{3}+x^{2}+16x,4x
integral of (2x-3)/(x^3+x)
\int\:\frac{2x-3}{x^{3}+x}dx
derivative of-3x^2-5x+1
\frac{d}{dx}(-3x^{2}-5x+1)
integral of (2x+5)/(sqrt(2x+6))
\int\:\frac{2x+5}{\sqrt{2x+6}}dx
derivative of (x^3/3+(x^2)/2+e^{-x})
\frac{d}{dx}(\frac{x^{3}}{3}+\frac{x^{2}}{2}+e^{-x})
maclaurin (1+x^2)^{-1}
maclaurin\:(1+x^{2})^{-1}
slope of (-1.1)(1.6)
slope\:(-1.1)(1.6)
derivative of f(x)=x^6
derivative\:f(x)=x^{6}
integral of (x+1)/(x^2+4x+7)
\int\:\frac{x+1}{x^{2}+4x+7}dx
derivative of y=ln((e^x+1)/(e^x-1))
derivative\:y=\ln(\frac{e^{x}+1}{e^{x}-1})
derivative of h(v)=4v^2-2
derivative\:h(v)=4v^{2}-2
tangent of f(x)=9x^2+7x-6,\at x=-7/18
tangent\:f(x)=9x^{2}+7x-6,\at\:x=-\frac{7}{18}
derivative of 1-|x|
\frac{d}{dx}(1-\left|x\right|)
integral of e^x+cos(x)
\int\:e^{x}+\cos(x)dx
integral of (5x+3)/(sqrt(7x-1))
\int\:\frac{5x+3}{\sqrt{7x-1}}dx
derivative of sqrt(y/5)
derivative\:\sqrt{\frac{y}{5}}
(d^2)/(dx^2)(12x^3-32x^2)
\frac{d^{2}}{dx^{2}}(12x^{3}-32x^{2})
derivative of sqrt(x)-2/x
\frac{d}{dx}(\sqrt{x}-\frac{2}{x})
derivative of x^5
derivative\:x^{5}
taylor x/(1+2x^2)
taylor\:\frac{x}{1+2x^{2}}
integral of (7x^2-4x+4)/((x+1)(x^2-x+1))
\int\:\frac{7x^{2}-4x+4}{(x+1)(x^{2}-x+1)}dx
derivative of (3+csc(2t))^{-6}
derivative\:(3+\csc(2t))^{-6}
tangent of f(x)=-2-cos(x),\at x=-pi/4
tangent\:f(x)=-2-\cos(x),\at\:x=-\frac{π}{4}
inverse oflaplace 1/((s-1))
inverselaplace\:\frac{1}{(s-1)}
tangent of f(x)=x^2-7,(2,-3)
tangent\:f(x)=x^{2}-7,(2,-3)
derivative of (ln(x+1)^2)
\frac{d}{dx}((\ln(x+1))^{2})
area y=9x,y=x^2-10,y=0
area\:y=9x,y=x^{2}-10,y=0
derivative of \sqrt[3]{1+4x}
derivative\:\sqrt[3]{1+4x}
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