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Popular Calculus Problems
derivative of cos(x+2sin(x))
\frac{d}{dx}(\cos(x)+2\sin(x))
integral of (-2x)/(x^2-1)
\int\:\frac{-2x}{x^{2}-1}dx
(\partial)/(\partial y)(8y-(x+y)^3)
\frac{\partial\:}{\partial\:y}(8y-(x+y)^{3})
derivative of 2sin^4(sqrt(x))
derivative\:2\sin^{4}(\sqrt{x})
integral of 1/((2-y)(1-y))
\int\:\frac{1}{(2-y)(1-y)}dy
(\partial)/(\partial x)(2ln(x)+5ln(y))
\frac{\partial\:}{\partial\:x}(2\ln(x)+5\ln(y))
integral of (5x^3+6x)e^{x^2}
\int\:(5x^{3}+6x)e^{x^{2}}dx
integral of 1/(sqrt(9y^2+4))
\int\:\frac{1}{\sqrt{9y^{2}+4}}dy
integral of (sqrt(1-\sqrt{x)})
\int\:(\sqrt{1-\sqrt{x}})dx
laplacetransform e^{-4t}× sin(2t)
laplacetransform\:e^{-4t}\times\:\sin(2t)
tangent of 10/3 x^3-5x^2-11x+6
tangent\:\frac{10}{3}x^{3}-5x^{2}-11x+6
integral of x/(sqrt(100x^2-1))
\int\:\frac{x}{\sqrt{100x^{2}-1}}dx
implicit (dy)/(dx),x=y^{18}
implicit\:\frac{dy}{dx},x=y^{18}
derivative of g(x)=sqrt(1-x)
derivative\:g(x)=\sqrt{1-x}
y^{''}+y=0,y(0)=1,y^'(0)=0
y^{\prime\:\prime\:}+y=0,y(0)=1,y^{\prime\:}(0)=0
xy^{''}+y^'=20x
xy^{\prime\:\prime\:}+y^{\prime\:}=20x
(\partial)/(\partial y)(e^{2xy^2}+3x)
\frac{\partial\:}{\partial\:y}(e^{2xy^{2}}+3x)
integral of 5x^2ln(x)
\int\:5x^{2}\ln(x)dx
area x=6y-y^2,x=0
area\:x=6y-y^{2},x=0
(dy)/(dx)=e^{5x+2y}
\frac{dy}{dx}=e^{5x+2y}
inverse oflaplace 2/(s^2+2)
inverselaplace\:\frac{2}{s^{2}+2}
derivative of x(x^4+5^5)
\frac{d}{dx}(x(x^{4}+5)^{5})
integral from 0 to infinity of ae^{-ax}
\int\:_{0}^{\infty\:}ae^{-ax}dx
sum from n=0 to infinity of ln(n)
\sum\:_{n=0}^{\infty\:}\ln(n)
sum from n=0 to infinity of 3/(10^n)
\sum\:_{n=0}^{\infty\:}\frac{3}{10^{n}}
x^2y^{''}-4xy^'+4y=0
x^{2}y^{\prime\:\prime\:}-4xy^{\prime\:}+4y=0
integral of (cos^3(x)*sin^{-4}(x))
\int\:(\cos^{3}(x)\cdot\:\sin^{-4}(x))dx
limit as x approaches 0+of (2x)^{7x}
\lim\:_{x\to\:0+}((2x)^{7x})
integral of 8cot^3(x)csc^3(x)
\int\:8\cot^{3}(x)\csc^{3}(x)dx
derivative of f(t)=sqrt(t+\sqrt{t)}
derivative\:f(t)=\sqrt{t+\sqrt{t}}
integral of 3/(x+2)
\int\:\frac{3}{x+2}dx
integral from 1 to 3 of sqrt(1+4x^2)
\int\:_{1}^{3}\sqrt{1+4x^{2}}dx
(\partial)/(\partial x)(2x-2)
\frac{\partial\:}{\partial\:x}(2x-2)
limit as t approaches 0 of 3/t-3/(t^2+t)
\lim\:_{t\to\:0}(\frac{3}{t}-\frac{3}{t^{2}+t})
integral of 4/(x^5)-3/(x^4)
\int\:\frac{4}{x^{5}}-\frac{3}{x^{4}}dx
integral from-1 to 1 of (3x)/((x+7)^2)
\int\:_{-1}^{1}\frac{3x}{(x+7)^{2}}dx
(\partial)/(\partial y)(cos(x/y))
\frac{\partial\:}{\partial\:y}(\cos(\frac{x}{y}))
simplify (x^3)/(sqrt(16-x^2))dx
simplify\:\frac{x^{3}}{\sqrt{16-x^{2}}}dx
integral of 5/(2x)
\int\:\frac{5}{2x}dx
derivative of 8^{x^8}
\frac{d}{dx}(8^{x^{8}})
integral of (2/(sqrt(x))+2sqrt(x))
\int\:(\frac{2}{\sqrt{x}}+2\sqrt{x})dx
(\partial)/(\partial x)((2x^2)/(y^2+x^2))
\frac{\partial\:}{\partial\:x}(\frac{2x^{2}}{y^{2}+x^{2}})
integral from-1 to 1 of (2/(x^2+1))
\int\:_{-1}^{1}(\frac{2}{x^{2}+1})dx
integral of e^{-0.4x}
\int\:e^{-0.4x}dx
limit as x approaches-2 of (x+2)/(x^3+8)
\lim\:_{x\to\:-2}(\frac{x+2}{x^{3}+8})
limit as z approaches 2 of 6z-1
\lim\:_{z\to\:2}(6z-1)
7y^{''}+2y^'=0
7y^{\prime\:\prime\:}+2y^{\prime\:}=0
sum from n=1 to infinity of (-1)/n
\sum\:_{n=1}^{\infty\:}\frac{-1}{n}
integral from 0 to 2 of (x^2-3)/(x+1)
\int\:_{0}^{2}\frac{x^{2}-3}{x+1}dx
derivative of (ln(x)/(2+ln(x)))
\frac{d}{dx}(\frac{\ln(x)}{2+\ln(x)})
limit as x approaches-3 of 2x^2
\lim\:_{x\to\:-3}(2x^{2})
derivative of 8/(x^2-4)
\frac{d}{dx}(\frac{8}{x^{2}-4})
d/(dt)(tsin(2t))
\frac{d}{dt}(t\sin(2t))
(\partial)/(\partial v)(v*e^{{u}(v)})
\frac{\partial\:}{\partial\:v}(v\cdot\:e^{{u}(v)})
derivative of f(2)=sin(3x)-4x^4+2x^3+3
derivative\:f(2)=\sin(3x)-4x^{4}+2x^{3}+3
integral of cos(x)(2+4sin^2(x))
\int\:\cos(x)(2+4\sin^{2}(x))dx
tangent of f(x)=(2x)/(1+x^2),\at x=(4)
tangent\:f(x)=\frac{2x}{1+x^{2}},\at\:x=(4)
xy^'-2y=x^4,y(1)=0
xy^{\prime\:}-2y=x^{4},y(1)=0
limit as x approaches 9 of \sqrt[3]{x-9}
\lim\:_{x\to\:9}(\sqrt[3]{x-9})
derivative of (4x-8e^{4x})
\frac{d}{dx}((4x-8)e^{4x})
derivative of x^{5pi}
derivative\:x^{5π}
(\partial)/(\partial x)(sqrt(10x+8y))
\frac{\partial\:}{\partial\:x}(\sqrt{10x+8y})
(\partial)/(\partial y)((xy+3x^2)/(1+y))
\frac{\partial\:}{\partial\:y}(\frac{xy+3x^{2}}{1+y})
integral of cos(2x)e^{sin(2x)}
\int\:\cos(2x)e^{\sin(2x)}dx
tangent of y=x^3-3x+1,(2,3)
tangent\:y=x^{3}-3x+1,(2,3)
derivative of (3x-10/(7x+13))
\frac{d}{dx}(\frac{3x-10}{7x+13})
derivative of f(x)=-4/3 x^{-5/2}
derivative\:f(x)=-\frac{4}{3}x^{-\frac{5}{2}}
integral of (sqrt(9x^2+4))/(x^2)
\int\:\frac{\sqrt{9x^{2}+4}}{x^{2}}dx
2xy-9x^2+(2y+x^2+1)(dy)/(dx)=0,y(0)=3
2xy-9x^{2}+(2y+x^{2}+1)\frac{dy}{dx}=0,y(0)=3
integral of 6t^5
\int\:6t^{5}dt
x^2y^'-3xy-2y^2=0
x^{2}y^{\prime\:}-3xy-2y^{2}=0
(dy)/(dt)+2/t y=t-1+y/t
\frac{dy}{dt}+\frac{2}{t}y=t-1+\frac{y}{t}
tangent of y=9x^{5/2}-7x^{3/2},\at x=4
tangent\:y=9x^{\frac{5}{2}}-7x^{\frac{3}{2}},\at\:x=4
(dy)/(dx)-2(x+1)^3= 4/((x+1))y
\frac{dy}{dx}-2(x+1)^{3}=\frac{4}{(x+1)}y
derivative of f(x)=arctan(pi/x)
derivative\:f(x)=\arctan(\frac{π}{x})
y^'=6y^2sin(x)
y^{\prime\:}=6y^{2}\sin(x)
integral of 1/((9x-1)^2)
\int\:\frac{1}{(9x-1)^{2}}dx
integral from-14 to 7 of (7e^x)
\int\:_{-14}^{7}(7e^{x})dx
integral from 0 to 3 of (3x^2-4x+1)
\int\:_{0}^{3}(3x^{2}-4x+1)dx
derivative of xsin(y/x)
\frac{d}{dx}(x\sin(\frac{y}{x}))
(\partial)/(\partial x)(cos(x)cos(y)e^z)
\frac{\partial\:}{\partial\:x}(\cos(x)\cos(y)e^{z})
integral of 1/((x-7)^2)
\int\:\frac{1}{(x-7)^{2}}dx
y^{''}-5y^'-6y=12e^{2t}
y^{\prime\:\prime\:}-5y^{\prime\:}-6y=12e^{2t}
limit as x approaches 0 of 1/((x-1)^2)+2
\lim\:_{x\to\:0}(\frac{1}{(x-1)^{2}}+2)
(dy)/(dx)+10y=11
\frac{dy}{dx}+10y=11
derivative of x^2-4x+10
\frac{d}{dx}(x^{2}-4x+10)
derivative of 6e^x+4/(\sqrt[3]{x})
\frac{d}{dx}(6e^{x}+\frac{4}{\sqrt[3]{x}})
limit as x approaches 5 of 1/(x^2-1)
\lim\:_{x\to\:5}(\frac{1}{x^{2}-1})
derivative of (2x^2+8x+4/(sqrt(x)))
\frac{d}{dx}(\frac{2x^{2}+8x+4}{\sqrt{x}})
y^{''}+31y=0
y^{\prime\:\prime\:}+31y=0
derivative of-8x^{1/2}
\frac{d}{dx}(-8x^{\frac{1}{2}})
tangent of sqrt(5x+6),\at x=6
tangent\:\sqrt{5x+6},\at\:x=6
integral of xe^{-sx}
\int\:xe^{-sx}dx
(\partial)/(\partial x)(8x^5y^3-9x^4y^6)
\frac{\partial\:}{\partial\:x}(8x^{5}y^{3}-9x^{4}y^{6})
derivative of (4x^3+1/(x^2-x+3))
\frac{d}{dx}(\frac{4x^{3}+1}{x^{2}-x+3})
(dy}{dx}-y/x =\frac{sqrt(x^2+y^2))/x
\frac{dy}{dx}-\frac{y}{x}=\frac{\sqrt{x^{2}+y^{2}}}{x}
derivative of f(x)=e^{1/2 x}
derivative\:f(x)=e^{\frac{1}{2}x}
derivative of x+7
\frac{d}{dx}(x+7)
implicit (dy)/(dx),x^2+5x+9xy-y^2=4
implicit\:\frac{dy}{dx},x^{2}+5x+9xy-y^{2}=4
1+6x^{3/2}
1+6x^{\frac{3}{2}}
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