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Popular Calculus Problems
(\partial)/(\partial x)(3xln(x)y)
\frac{\partial\:}{\partial\:x}(3x\ln(x)y)
integral of (x-8)/(x^2+2)
\int\:\frac{x-8}{x^{2}+2}dx
inverse oflaplace (3s+3)/(s^2-9)
inverselaplace\:\frac{3s+3}{s^{2}-9}
16y^{''}-24y^'+9y=0
16y^{\prime\:\prime\:}-24y^{\prime\:}+9y=0
(d^2)/(dx^2)(x^{1/7})
\frac{d^{2}}{dx^{2}}(x^{\frac{1}{7}})
f(x)=2x^3-4x-8x+6
f(x)=2x^{3}-4x-8x+6
(\partial)/(\partial y)(e^{3x+4y}cos(5z))
\frac{\partial\:}{\partial\:y}(e^{3x+4y}\cos(5z))
y^'-ay+b=0
y^{\prime\:}-ay+b=0
integral from 6 to 8 of (56)/((x-6)^3)
\int\:_{6}^{8}\frac{56}{(x-6)^{3}}dx
(\partial)/(\partial x)((x^3+y^2)/(x-y))
\frac{\partial\:}{\partial\:x}(\frac{x^{3}+y^{2}}{x-y})
derivative of (3x+5^4)
\frac{d}{dx}((3x+5)^{4})
integral from 1 to 2 of (cos(2x)-2/x)
\int\:_{1}^{2}(\cos(2x)-\frac{2}{x})dx
derivative of f(x)=(-4x^2+9)^2
derivative\:f(x)=(-4x^{2}+9)^{2}
derivative of (12/(x+1))
\frac{d}{dx}(\frac{12}{x+1})
limit as x approaches-3+of x
\lim\:_{x\to\:-3+}(x)
integral of x/(1+4x^2)
\int\:\frac{x}{1+4x^{2}}dx
derivative of f(x)=(2x)/3
derivative\:f(x)=\frac{2x}{3}
y^'=x(8-y)
y^{\prime\:}=x(8-y)
integral of cos(2-3x)
\int\:\cos(2-3x)dx
derivative of x+c/x
\frac{d}{dx}(x+\frac{c}{x})
taylor (e^{t^2}-1)/t
taylor\:\frac{e^{t^{2}}-1}{t}
integral from 6 to 8 of (22)/((x-6)^3)
\int\:_{6}^{8}\frac{22}{(x-6)^{3}}dx
integral of 7x+4
\int\:7x+4dx
simplify x^2y+x+y
simplify\:x^{2}y+x+y
derivative of e^{-2}
derivative\:e^{-2}
laplacetransform 6te^{-5t}+e^{-3t}
laplacetransform\:6te^{-5t}+e^{-3t}
derivative of 5(2-7x^4)
\frac{d}{dx}(5(2-7x)^{4})
simplify x^3+1/(x^2)+3
simplify\:x^{3}+\frac{1}{x^{2}}+3
slope of sqrt(x)+1/(sqrt(x))
slope\:\sqrt{x}+\frac{1}{\sqrt{x}}
integral of 6e^{-t}
\int\:6e^{-t}dt
integral from 0 to pi/6 of 9sec^2(x)
\int\:_{0}^{\frac{π}{6}}9\sec^{2}(x)dx
integral of 1/((x^2sqrt(x^2-4)))
\int\:\frac{1}{(x^{2}\sqrt{x^{2}-4})}dx
integral of arccsc(1/x)
\int\:\arccsc(\frac{1}{x})dx
limit as x approaches 20 of-85
\lim\:_{x\to\:20}(-85)
integral of x^3sqrt(16+x^2)
\int\:x^{3}\sqrt{16+x^{2}}dx
derivative of x/(1-ln(x-8))
derivative\:\frac{x}{1-\ln(x-8)}
derivative of 4x(x^2-9)
derivative\:4x(x^{2}-9)
limit as x approaches 0 of (8x)/(cot(x))
\lim\:_{x\to\:0}(\frac{8x}{\cot(x)})
tangent of 3x^2+x,\at x=1
tangent\:3x^{2}+x,\at\:x=1
slope ofintercept (-6,4),(-5,-10)
slopeintercept\:(-6,4),(-5,-10)
tangent of f(x)=7x^2,\at x=4
tangent\:f(x)=7x^{2},\at\:x=4
derivative of (x+3/(x-1))
\frac{d}{dx}(\frac{x+3}{x-1})
e^y*((dy)/(dx)+1)=1
e^{y}\cdot\:(\frac{dy}{dx}+1)=1
y^{''}+3y^'+10y=0
y^{\prime\:\prime\:}+3y^{\prime\:}+10y=0
slope of (-6,-6),(-5,0)
slope\:(-6,-6),(-5,0)
integral of 16cos^2(x+3)sin^2(x+3)
\int\:16\cos^{2}(x+3)\sin^{2}(x+3)dx
derivative of x^3+5x^2-x^{-2}+8
\frac{d}{dx}(x^{3}+5x^{2}-x^{-2}+8)
limit as x approaches 2+of 4/(x-2)
\lim\:_{x\to\:2+}(\frac{4}{x-2})
integral from 0 to 1 of 5(1+sqrt(x))^4
\int\:_{0}^{1}5(1+\sqrt{x})^{4}dx
(\partial)/(\partial x)(tan(x^2-y^2))
\frac{\partial\:}{\partial\:x}(\tan(x^{2}-y^{2}))
(\partial)/(\partial x)(20x+80y-x^2-2y^2)
\frac{\partial\:}{\partial\:x}(20x+80y-x^{2}-2y^{2})
derivative of sin^7(2x)
\frac{d}{dx}(\sin^{7}(2x))
derivative of-10e^{-2x}
\frac{d}{dx}(-10e^{-2x})
derivative of y=(6x)/(7-tan(x))
derivative\:y=\frac{6x}{7-\tan(x)}
integral of 1/(1+2y)
\int\:\frac{1}{1+2y}dy
integral of 1/(xsqrt(3-x^2))
\int\:\frac{1}{x\sqrt{3-x^{2}}}dx
dy=x^2dx,y(0)=0
dy=x^{2}dx,y(0)=0
integral of sqrt(x/(1-x^3))
\int\:\sqrt{\frac{x}{1-x^{3}}}dx
integral of (sin(x))/((1+cos(x)))
\int\:\frac{\sin(x)}{(1+\cos(x))}dx
derivative of 1/(sqrt(x+8))
derivative\:\frac{1}{\sqrt{x+8}}
integral of (tan^2(x)+1)
\int\:(\tan^{2}(x)+1)dx
derivative of f(x)=9sin(3x)
derivative\:f(x)=9\sin(3x)
d/(dy)(x+y^2)
\frac{d}{dy}(x+y^{2})
integral of xsqrt(2-x^2)-x^2
\int\:x\sqrt{2-x^{2}}-x^{2}dx
(dy)/(dx)=(sec(y))/((x-4)^2)
\frac{dy}{dx}=\frac{\sec(y)}{(x-4)^{2}}
integral of 2xe^{x^2}csc^2(e^{x^2})
\int\:2xe^{x^{2}}\csc^{2}(e^{x^{2}})dx
xy^'=y+x^2
xy^{\prime\:}=y+x^{2}
limit as x approaches-7-of 1/(x^2-49)
\lim\:_{x\to\:-7-}(\frac{1}{x^{2}-49})
derivative of y=(-11)/(\sqrt[3]{x)}
derivative\:y=\frac{-11}{\sqrt[3]{x}}
integral from 0 to 5 of 3f(x)
\int\:_{0}^{5}3f(x)dx
(dy}{dx}=\frac{7x)/y
\frac{dy}{dx}=\frac{7x}{y}
integral of 6/(x+2)
\int\:\frac{6}{x+2}dx
sum from n=3 to infinity of (pi^n)/(e^n)
\sum\:_{n=3}^{\infty\:}\frac{π^{n}}{e^{n}}
integral of x^3sqrt(1+x^2)
\int\:x^{3}\sqrt{1+x^{2}}dx
limit as x approaches-6-of 3x^2+ax+b
\lim\:_{x\to\:-6-}(3x^{2}+ax+b)
tangent of f(x)=5x^2-6x+3,(0,3)
tangent\:f(x)=5x^{2}-6x+3,(0,3)
integral of (((100+x)/(50))-17.33)
\int\:((\frac{100+x}{50})-17.33)dx
derivative of 2Ax
\frac{d}{dx}(2Ax)
y^'=2y-3y^2
y^{\prime\:}=2y-3y^{2}
(dy)/(dx)=x+8
\frac{dy}{dx}=x+8
inverse oflaplace 1/(2(s+1))
inverselaplace\:\frac{1}{2(s+1)}
slope ofintercept (2.8)(0.6)
slopeintercept\:(2.8)(0.6)
derivative of f(x)= x/(8x^3-2x+9)
derivative\:f(x)=\frac{x}{8x^{3}-2x+9}
derivative of (arctan(x)/x)
\frac{d}{dx}(\frac{\arctan(x)}{x})
derivative of sqrt(cos(e^{x^5sin(x)))}
derivative\:\sqrt{\cos(e^{x^{5}\sin(x)})}
y^{''}-4y^'+4y=(18x-4)e^{2x}
y^{\prime\:\prime\:}-4y^{\prime\:}+4y=(18x-4)e^{2x}
(dy)/(dt)-ycos(t)=cos(t)
\frac{dy}{dt}-y\cos(t)=\cos(t)
integral from 0 to ln(6) of e^x-e^{-2x}
\int\:_{0}^{\ln(6)}e^{x}-e^{-2x}dx
integral of sqrt(x-2)
\int\:\sqrt{x-2}dx
integral of 6sin^3(x)cos^2(x)
\int\:6\sin^{3}(x)\cos^{2}(x)dx
integral of xcos^2(x)sin(x)
\int\:x\cos^{2}(x)\sin(x)dx
tangent of f(x)=x^2-1,(-2,3)
tangent\:f(x)=x^{2}-1,(-2,3)
limit as x approaches 2 of 3/(2-x)
\lim\:_{x\to\:2}(\frac{3}{2-x})
integral of (3t+t^2)sin(3t)
\int\:(3t+t^{2})\sin(3t)dt
integral of ln(1+t^2)
\int\:\ln(1+t^{2})dt
integral of (tan^3(ln(x)))/(3x)
\int\:\frac{\tan^{3}(\ln(x))}{3x}dx
derivative of 2w^{3pi},\at 7
derivative\:2w^{3π},\at\:7
inverse oflaplace k/s
inverselaplace\:\frac{k}{s}
derivative of 6sec(x)tan(x)
derivative\:6\sec(x)\tan(x)
sum from n=3 to infinity of 6/(n(n-2))
\sum\:_{n=3}^{\infty\:}\frac{6}{n(n-2)}
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