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Popular Calculus Problems
(\partial)/(\partial x)(xy+yz^2+xz^3)
\frac{\partial\:}{\partial\:x}(xy+yz^{2}+xz^{3})
(\partial)/(\partial x)((x+z)e^{x-y})
\frac{\partial\:}{\partial\:x}((x+z)e^{x-y})
integral of 1/((6x-1)^2)
\int\:\frac{1}{(6x-1)^{2}}dx
derivative of-16x^2
\frac{d}{dx}(-16x^{2})
(\partial)/(\partial z)(9ze^{xyz})
\frac{\partial\:}{\partial\:z}(9ze^{xyz})
derivative of (1+cos(x)sin(x))
\frac{d}{dx}((1+\cos(x))\sin(x))
(\partial)/(\partial x)(1/(\sqrt[5]{x^4)})
\frac{\partial\:}{\partial\:x}(\frac{1}{\sqrt[5]{x^{4}}})
inverse oflaplace 4/((s+2)^3)
inverselaplace\:\frac{4}{(s+2)^{3}}
limit as x approaches 0 of sqrt((3x+1))
\lim\:_{x\to\:0}(\sqrt{(3x+1)})
derivative of f(x)=log_{10}(x)
derivative\:f(x)=\log_{10}(x)
integral of (x^2+2x+4)/((x+1)^3)
\int\:\frac{x^{2}+2x+4}{(x+1)^{3}}dx
integral of 5tan^2(x)
\int\:5\tan^{2}(x)dx
tangent of x+sqrt(x)
tangent\:x+\sqrt{x}
limit as x approaches a of f(x)(g(x))
\lim\:_{x\to\:a}(f(x)(g(x)))
(\partial)/(\partial θ)(r(θ))
\frac{\partial\:}{\partial\:θ}(r(θ))
derivative of (x^2-2xe^{4x})
\frac{d}{dx}((x^{2}-2x)e^{4x})
integral of (x+1)^{-8}
\int\:(x+1)^{-8}dx
(\partial)/(\partial y)(x^2-2xy+y^2)
\frac{\partial\:}{\partial\:y}(x^{2}-2xy+y^{2})
y^{''}+2y^'+5y=0,y(0)=1,y^'(0)=-2
y^{\prime\:\prime\:}+2y^{\prime\:}+5y=0,y(0)=1,y^{\prime\:}(0)=-2
integral of xsqrt(x^2+a^2)
\int\:x\sqrt{x^{2}+a^{2}}dx
integral of ((2+x^2))/(1+x^2)
\int\:\frac{(2+x^{2})}{1+x^{2}}dx
(\partial)/(\partial x)(ln(x+5y+6z))
\frac{\partial\:}{\partial\:x}(\ln(x+5y+6z))
derivative of xsec(x)
\frac{d}{dx}(x\sec(x))
integral of (cos(θ))
\int\:(\cos(θ))dθ
tangent of x^3-3x+4
tangent\:x^{3}-3x+4
integral of (x^3)/(x^2+1)
\int\:\frac{x^{3}}{x^{2}+1}dx
(\partial)/(\partial x)(x^1y^2+y^4z^5)
\frac{\partial\:}{\partial\:x}(x^{1}y^{2}+y^{4}z^{5})
integral of sin^2(2x)cos^3(2x)
\int\:\sin^{2}(2x)\cos^{3}(2x)dx
integral of ln^4(x)
\int\:\ln^{4}(x)dx
d/(dt)(sin(pi)t)
\frac{d}{dt}(\sin(π)t)
d/(dy)(A/(y^7)+Be^y)
\frac{d}{dy}(\frac{A}{y^{7}}+Be^{y})
integral of 6sqrt(x)
\int\:6\sqrt{x}dx
derivative of f(x)=(x^3+2x^2-4)/3
derivative\:f(x)=\frac{x^{3}+2x^{2}-4}{3}
integral of (x^2+1)e^{x^3+3x}
\int\:(x^{2}+1)e^{x^{3}+3x}dx
integral from 0 to 1 of 1/(x^{0.4)}
\int\:_{0}^{1}\frac{1}{x^{0.4}}dx
derivative of 1/2 (8t+3)^{-1/2}
derivative\:\frac{1}{2}(8t+3)^{-\frac{1}{2}}
derivative of {f}(x*{f}(x)*{f}(x))
\frac{d}{dx}({f}(x)\cdot\:{f}(x)\cdot\:{f}(x))
y^'-8/x y=y^3 1/(x^{12)}
y^{\prime\:}-\frac{8}{x}y=y^{3}\frac{1}{x^{12}}
area y=x^2,x=y^2
area\:y=x^{2},x=y^{2}
3xy^'-15y=x^{-1}
3xy^{\prime\:}-15y=x^{-1}
sum from n=9 to infinity of (1/7)^n
\sum\:_{n=9}^{\infty\:}(\frac{1}{7})^{n}
integral from-infinity to 0 of 0
\int\:_{-\infty\:}^{0}0dx
limit as x approaches 9 of 1/(sqrt(x)+3)
\lim\:_{x\to\:9}(\frac{1}{\sqrt{x}+3})
integral from 2 to 3 of tsqrt(t-2)
\int\:_{2}^{3}t\sqrt{t-2}dt
d/(dj)(3i-5j)
\frac{d}{dj}(3i-5j)
integral of 1/(cos(t))
\int\:\frac{1}{\cos(t)}dt
area y=6,y=x^{-2}+x^2
area\:y=6,y=x^{-2}+x^{2}
integral of e^{(3-x)}
\int\:e^{(3-x)}dx
x^{''}+x=0
x^{\prime\:\prime\:}+x=0
derivative of 2x^2+1
derivative\:2x^{2}+1
integral of 1/2 (e^x+e^{-x})
\int\:\frac{1}{2}(e^{x}+e^{-x})dx
(dy)/(dx)(x)=y+(x^2-3)^2
\frac{dy}{dx}(x)=y+(x^{2}-3)^{2}
sum from n=1 to infinity of (n!)/n
\sum\:_{n=1}^{\infty\:}\frac{n!}{n}
limit as x approaches 0 of-7x^2+7
\lim\:_{x\to\:0}(-7x^{2}+7)
integral of (z+5)/(z(z^2+4))
\int\:\frac{z+5}{z(z^{2}+4)}dz
(\partial)/(\partial v)(uv^2+w^3)
\frac{\partial\:}{\partial\:v}(uv^{2}+w^{3})
integral of e^{5x+6}
\int\:e^{5x+6}dx
y^{''}-3y^'+2y=e^{2t}
y^{\prime\:\prime\:}-3y^{\prime\:}+2y=e^{2t}
tangent of f(x)=x-2sin(x),\at x=0
tangent\:f(x)=x-2\sin(x),\at\:x=0
xy^{''}-y^'=x^2
xy^{\prime\:\prime\:}-y^{\prime\:}=x^{2}
derivative of (x-5)/(x^2+1)
derivative\:\frac{x-5}{x^{2}+1}
derivative of (24/(x^4))
\frac{d}{dx}(\frac{24}{x^{4}})
derivative of 1/(5+3x)
\frac{d}{dx}(\frac{1}{5+3x})
derivative of sqrt(5x)+(sqrt(7)/t)
\frac{d}{dx}(\sqrt{5x}+\frac{\sqrt{7}}{t})
derivative of |sec(x|)
\frac{d}{dx}(\left|\sec(x)\right|)
(\partial)/(\partial y)(ln(x^2-y^2))
\frac{\partial\:}{\partial\:y}(\ln(x^{2}-y^{2}))
derivative of (1+x^2)^2
derivative\:(1+x^{2})^{2}
integral of (7x^5+6x^4-3x^3-9x+5)
\int\:(7x^{5}+6x^{4}-3x^{3}-9x+5)dx
integral of (x^2-64)/(x(x-1)^2)
\int\:\frac{x^{2}-64}{x(x-1)^{2}}dx
integral of 1/(ysqrt(1+(ln(y))^2))
\int\:\frac{1}{y\sqrt{1+(\ln(y))^{2}}}dy
derivative of y=((x^2+1))/((x^3-1))
derivative\:y=\frac{(x^{2}+1)}{(x^{3}-1)}
integral of sec(t)(8sec(t)+5tan(t))
\int\:\sec(t)(8\sec(t)+5\tan(t))dt
derivative of (2x^3)
\frac{d}{dx}((2x)^{3})
limit as x approaches 0 of (x)^3
\lim\:_{x\to\:0}((x)^{3})
(\partial)/(\partial x)(3sin(2x)cos(6y))
\frac{\partial\:}{\partial\:x}(3\sin(2x)\cos(6y))
(\partial)/(\partial x)(ln(1-x))
\frac{\partial\:}{\partial\:x}(\ln(1-x))
integral of (1+t)
\int\:(1+t)dt
derivative of (1+x)/(1-x)
derivative\:\frac{1+x}{1-x}
(\partial)/(\partial x)(7xe^{sqrt(xy)})
\frac{\partial\:}{\partial\:x}(7xe^{\sqrt{xy}})
integral from 0 to 3 of 3e^{-2x}
\int\:_{0}^{3}3e^{-2x}dx
laplacetransform sin^3(t)
laplacetransform\:\sin^{3}(t)
integral of x5^{-x^2}
\int\:x5^{-x^{2}}dx
derivative of sec(x)
derivative\:\sec(x)
inverse oflaplace 1/((s-2)(s+1))
inverselaplace\:\frac{1}{(s-2)(s+1)}
slope ofintercept (6,-2),(12,1)
slopeintercept\:(6,-2),(12,1)
limit as x approaches 2 of sqrt(x^2+3x)
\lim\:_{x\to\:2}(\sqrt{x^{2}+3x})
derivative of 2+3cos(2x)
\frac{d}{dx}(2+3\cos(2x))
tangent of f(x)=sqrt(x+3),\at x=13
tangent\:f(x)=\sqrt{x+3},\at\:x=13
derivative of x^2+pi^2+x^pi
\frac{d}{dx}(x^{2}+π^{2}+x^{π})
limit as x approaches infinity of 24
\lim\:_{x\to\:\infty\:}(24)
6y^'+7y=5
6y^{\prime\:}+7y=5
(d^2)/(dx^2)(sin(x)-cos(x))
\frac{d^{2}}{dx^{2}}(\sin(x)-\cos(x))
6(x^2+y^2)dx+5xydy=0
6(x^{2}+y^{2})dx+5xydy=0
d/(d{y)}(({y})/({x)+{y}+{z}})
\frac{d}{d{y}}(\frac{{y}}{{x}+{y}+{z}})
derivative of sqrt(7)x-sqrt(2x)
derivative\:\sqrt{7}x-\sqrt{2x}
tangent of y=x^2+9,(4,25)
tangent\:y=x^{2}+9,(4,25)
derivative of arctan(x^3-x)
\frac{d}{dx}(\arctan(x^{3}-x))
normal of cos(t)+tsin(t),\at t=pi
normal\:\cos(t)+t\sin(t),\at\:t=π
area y=sqrt(x),y= 1/4 x+1,x=0
area\:y=\sqrt{x},y=\frac{1}{4}x+1,x=0
integral of xycos(xy)
\int\:xy\cos(xy)dx
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