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Popular Calculus Problems
tangent of f(x)=2x^2-sqrt(x),(1,1)
tangent\:f(x)=2x^{2}-\sqrt{x},(1,1)
(\partial)/(\partial x)(c)
\frac{\partial\:}{\partial\:x}(c)
x^2y^{''}-xy^'+y-ln(x)=0
x^{2}y^{\prime\:\prime\:}-xy^{\prime\:}+y-\ln(x)=0
(\partial)/(\partial x)(4cos(x)-e^{x^2})
\frac{\partial\:}{\partial\:x}(4\cos(x)-e^{x^{2}})
integral from 1 to 2 of 4/(x^2)
\int\:_{1}^{2}\frac{4}{x^{2}}dx
integral from 1 to 2 of (ln(x))/x
\int\:_{1}^{2}\frac{\ln(x)}{x}dx
derivative of ((2x^2+2x+2)/(sqrt(x)))
\frac{d}{dx}(\frac{(2x^{2}+2x+2)}{\sqrt{x}})
integral of 1/(hx+a)
\int\:\frac{1}{hx+a}dx
(dy)/(dx)=csc(x)-ycot(x)
\frac{dy}{dx}=\csc(x)-y\cot(x)
integral of (3x^2)/((x+1)(x^2+1))
\int\:\frac{3x^{2}}{(x+1)(x^{2}+1)}dx
integral of (sin(x))/(2-cos(x))
\int\:\frac{\sin(x)}{2-\cos(x)}dx
area y=2x^2,y=3-x,0,3
area\:y=2x^{2},y=3-x,0,3
y^{''}+(10+5)y=((10-5))/2
y^{\prime\:\prime\:}+(10+5)y=\frac{(10-5)}{2}
derivative of ((x+sqrt(x^2+8)))/2
derivative\:\frac{(x+\sqrt{x^{2}+8})}{2}
taylor x*sin(x)+x*cos(x)
taylor\:x\cdot\:\sin(x)+x\cdot\:\cos(x)
integral of 2x^{-1}
\int\:2x^{-1}dx
inverse oflaplace {1/(s^2)-1/s+1/(s-2)}
inverselaplace\:\left\{\frac{1}{s^{2}}-\frac{1}{s}+\frac{1}{s-2}\right\}
integral of (y/x+6x)
\int\:(\frac{y}{x}+6x)dx
integral from 0 to pi/2 of 10cos^5(x)
\int\:_{0}^{\frac{π}{2}}10\cos^{5}(x)dx
integral of 3x^{4/3}-sin(x)+c
\int\:3x^{\frac{4}{3}}-\sin(x)+cdx
derivative of (e^{3x}/(x^6))
\frac{d}{dx}(\frac{e^{3x}}{x^{6}})
integral of 1/((x+2)(x+3))
\int\:\frac{1}{(x+2)(x+3)}dx
integral of (5x^2+3x-2)/(x^3+2x^2)
\int\:\frac{5x^{2}+3x-2}{x^{3}+2x^{2}}dx
limit as x approaches 0 of (4x)/x
\lim\:_{x\to\:0}(\frac{4x}{x})
laplacetransform 3t*cos(2t)
laplacetransform\:3t\cdot\:\cos(2t)
integral of 3sin^3(6x)cos^3(6x)
\int\:3\sin^{3}(6x)\cos^{3}(6x)dx
d/(dt)(dcos(t)+t^2sin(t))
\frac{d}{dt}(d\cos(t)+t^{2}\sin(t))
derivative of {r}(xe^{{r}(x)x})
\frac{d}{dx}({r}(x)e^{{r}(x)x})
derivative of (sec(x)/(7+sec(x)))
\frac{d}{dx}(\frac{\sec(x)}{7+\sec(x)})
derivative of e^{x^2+2x}
derivative\:e^{x^{2}+2x}
integral of 1/(t^2sqrt(484-t^2))
\int\:\frac{1}{t^{2}\sqrt{484-t^{2}}}dt
derivative of ln(x+sqrt(x^2-8))
\frac{d}{dx}(\ln(x+\sqrt{x^{2}-8}))
derivative of (ln(x))/(x^7)
derivative\:\frac{\ln(x)}{x^{7}}
derivative of 7x^5(x^3-6x)
derivative\:7x^{5}(x^{3}-6x)
integral from 0 to pi of x
\int\:_{0}^{π}xdx
derivative of (x-6)/(sqrt(x)-\sqrt{6)}
derivative\:\frac{x-6}{\sqrt{x}-\sqrt{6}}
derivative of x^{11}
derivative\:x^{11}
(\partial)/(\partial x)(5x^2y-2x+3y^3)
\frac{\partial\:}{\partial\:x}(5x^{2}y-2x+3y^{3})
integral of (e^{4x})/(1+e^{8x)}
\int\:\frac{e^{4x}}{1+e^{8x}}dx
tangent of f(x)=sqrt(x^2+11),\at x=5
tangent\:f(x)=\sqrt{x^{2}+11},\at\:x=5
y^'=-4y
y^{\prime\:}=-4y
derivative of 3/((x-4)^2)
derivative\:\frac{3}{(x-4)^{2}}
derivative of 1/x-3sin(x)
\frac{d}{dx}(\frac{1}{x}-3\sin(x))
integral of sqrt(3x+5)
\int\:\sqrt{3x+5}dx
integral of (2/(x^2)+sec(x)tan(x))
\int\:(\frac{2}{x^{2}}+\sec(x)\tan(x))dx
integral of (13x^3)/(sqrt(3+x^2))
\int\:\frac{13x^{3}}{\sqrt{3+x^{2}}}dx
integral of sin^5(xco)s^2x
\int\:\sin^{5}(xco)s^{2}xdx
integral of 4/(6-2x)
\int\:\frac{4}{6-2x}dx
derivative of-cos(\sqrt[3]{x}-2+pi/2)
\frac{d}{dx}(-\cos(\sqrt[3]{x}-2+\frac{π}{2}))
-(a/2)^2y^{''}-ry^'+ry=0
-(\frac{a}{2})^{2}y^{\prime\:\prime\:}-ry^{\prime\:}+ry=0
integral of-28x
\int\:-28xdx
integral of x^3+sinh(x)
\int\:x^{3}+\sinh(x)dx
y^{''}+5y^'+6y=te^{-t}
y^{\prime\:\prime\:}+5y^{\prime\:}+6y=te^{-t}
limit as x approaches 3 of sqrt(9-x^2)
\lim\:_{x\to\:3}(\sqrt{9-x^{2}})
(dy)/(dx)=2xy-y,y(0)=2
\frac{dy}{dx}=2xy-y,y(0)=2
integral of 1/(sin^2(t)-1)
\int\:\frac{1}{\sin^{2}(t)-1}dt
integral of 2cos(x)+sec^2(x)
\int\:2\cos(x)+\sec^{2}(x)dx
inverse oflaplace (3s+3)/((s^2-9))
inverselaplace\:\frac{3s+3}{(s^{2}-9)}
(1+y^2)dx+xdy=0
(1+y^{2})dx+xdy=0
integral of 1/(x^8)
\int\:\frac{1}{x^{8}}dx
(\partial)/(\partial s)(r-s)
\frac{\partial\:}{\partial\:s}(r-s)
sum from n=1 to infinity of (9^n)/(8^n)
\sum\:_{n=1}^{\infty\:}\frac{9^{n}}{8^{n}}
integral from-2 to 3 of (34)/(x^4)
\int\:_{-2}^{3}\frac{34}{x^{4}}dx
limit as x approaches 5+of sqrt(x^2-24)
\lim\:_{x\to\:5+}(\sqrt{x^{2}-24})
integral from 0 to x of 1/((1-x)^2)
\int\:_{0}^{x}\frac{1}{(1-x)^{2}}dx
derivative of sqrt(6x+8)
\frac{d}{dx}(\sqrt{6x+8})
integral from 6 to 8 of 4/((x-6)^3)
\int\:_{6}^{8}\frac{4}{(x-6)^{3}}dx
(dy)/(dx)=(x-5)/(y^2)
\frac{dy}{dx}=\frac{x-5}{y^{2}}
integral of ((2x^3)/(x^2-4))
\int\:(\frac{2x^{3}}{x^{2}-4})dx
derivative of x^2cos(x+2xsin(x))
\frac{d}{dx}(x^{2}\cos(x)+2x\sin(x))
derivative of-36sin(4x)
derivative\:-36\sin(4x)
simplify s^2+\sqrt[4]{2t+1}+s/r+(t^6r^2)/(t+r^3)
simplify\:s^{2}+\sqrt[4]{2t+1}+\frac{s}{r}+\frac{t^{6}r^{2}}{t+r^{3}}
integral from 0 to pi of (cos(x))
\int\:_{0}^{π}(\cos(x))dx
limit as x approaches 1 of x/(3x+2)
\lim\:_{x\to\:1}(\frac{x}{3x+2})
derivative of f(x)=sqrt(9-7x)
derivative\:f(x)=\sqrt{9-7x}
derivative of e^{4x}cos(2x)
\frac{d}{dx}(e^{4x}\cos(2x))
d/(dθ)(θcos(θ))
\frac{d}{dθ}(θ\cos(θ))
derivative of (x-1|x-1|)
\frac{d}{dx}((x-1)\left|x-1\right|)
(\partial)/(\partial x)(x^2-2xy+2y)
\frac{\partial\:}{\partial\:x}(x^{2}-2xy+2y)
derivative of kx^x
\frac{d}{dx}(kx^{x})
derivative of (x^2/((4+x)))
\frac{d}{dx}(\frac{x^{2}}{(4+x)})
derivative of (3x+4/(3x-4))
\frac{d}{dx}(\frac{3x+4}{3x-4})
tangent of y^2=x^2(x+1),(3,6)
tangent\:y^{2}=x^{2}(x+1),(3,6)
integral of x^{ln(x)}
\int\:x^{\ln(x)}dx
tangent of f(x)=x^2-3x,\at x=-2
tangent\:f(x)=x^{2}-3x,\at\:x=-2
derivative of 1-1/x
derivative\:1-\frac{1}{x}
y'=-(2y)/x+4x
y\prime\:=-\frac{2y}{x}+4x
limit as x approaches 2+of 1/(2-x)
\lim\:_{x\to\:2+}(\frac{1}{2-x})
derivative of ((x+4))/(x-2)
derivative\:\frac{(x+4)}{x-2}
area x^3-x,0
area\:x^{3}-x,0
derivative of f(x)=x^{13/14}
derivative\:f(x)=x^{\frac{13}{14}}
derivative of 30e^{(-x^2/3})
\frac{d}{dx}(30e^{\frac{-x^{2}}{3}})
area y=8-x,x=((y-2)^2)/3
area\:y=8-x,x=\frac{(y-2)^{2}}{3}
inverse oflaplace x^{-1}+2x
inverselaplace\:x^{-1}+2x
integral of e^xe^{-x}
\int\:e^{x}e^{-x}dx
limit as x approaches-299999 of x^2
\lim\:_{x\to\:-299999}(x^{2})
y^{''}+y^'-6y=0,y(0)=1
y^{\prime\:\prime\:}+y^{\prime\:}-6y=0,y(0)=1
(\partial)/(\partial x)(4x(x^2+y^2)-4x)
\frac{\partial\:}{\partial\:x}(4x(x^{2}+y^{2})-4x)
limit as t approaches 1 of sin(3pit)
\lim\:_{t\to\:1}(\sin(3πt))
tangent of y=x^2-7,(-5,18)
tangent\:y=x^{2}-7,(-5,18)
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