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Popular Calculus Problems
(dy)/(dt)=-y/(t^2)
\frac{dy}{dt}=-\frac{y}{t^{2}}
tangent of f(x)=6x-x^2,\at x=4
tangent\:f(x)=6x-x^{2},\at\:x=4
derivative of (x-5sin(x))
\frac{d}{dx}((x-5)\sin(x))
sum from n=0 to infinity of 1/(1.5^n)
\sum\:_{n=0}^{\infty\:}\frac{1}{1.5^{n}}
integral of-x^2-2x
\int\:-x^{2}-2xdx
integral of 1/(e^{6x)}
\int\:\frac{1}{e^{6x}}dx
(dP)/(dt)=50P-1/10 P
\frac{dP}{dt}=50P-\frac{1}{10}P
integral of (cos(2t))/2
\int\:\frac{\cos(2t)}{2}dt
derivative of (e^x/(e^x-1))
\frac{d}{dx}(\frac{e^{x}}{e^{x}-1})
integral of ln(x^2+x)
\int\:\ln(x^{2}+x)dx
(\partial)/(\partial x)(zarctan(yx))
\frac{\partial\:}{\partial\:x}(z\arctan(yx))
integral of 1/(4e^{-3x)+e^{3x}}
\int\:\frac{1}{4e^{-3x}+e^{3x}}dx
integral from-2 to 1 of (x-6|x|)
\int\:_{-2}^{1}(x-6\left|x\right|)dx
limit as x approaches 0 of-x^4
\lim\:_{x\to\:0}(-x^{4})
y^{''}+4y=x-(x^2)/(20)
y^{\prime\:\prime\:}+4y=x-\frac{x^{2}}{20}
derivative of ln((x^4/((3x-4)^2)))
\frac{d}{dx}(\ln(\frac{x^{4}}{(3x-4)^{2}}))
derivative of 2pix^2
derivative\:2πx^{2}
y^'+1/(200+t)y=0
y^{\prime\:}+\frac{1}{200+t}y=0
limit as x approaches 1+of x^2-1
\lim\:_{x\to\:1+}(x^{2}-1)
derivative of (a+bt+ct^2/(sqrt(t)))
\frac{d}{dx}(\frac{a+bt+ct^{2}}{\sqrt{t}})
derivative of f(x)=ln(ln(4x))
derivative\:f(x)=\ln(\ln(4x))
(dx)/(dy)=(y-x)/(y+x)
\frac{dx}{dy}=\frac{y-x}{y+x}
(1+x^2)y^{''}=-2xy^'
(1+x^{2})y^{\prime\:\prime\:}=-2xy^{\prime\:}
(\partial)/(\partial θ)(e^rcos(θ))
\frac{\partial\:}{\partial\:θ}(e^{r}\cos(θ))
integral from 2 to 4 of 2/x-1/8 x
\int\:_{2}^{4}\frac{2}{x}-\frac{1}{8}xdx
derivative of y=-8x^3+9x^2+6x-5
derivative\:y=-8x^{3}+9x^{2}+6x-5
sum from n=0 to infinity of (3^n)/(n^3)
\sum\:_{n=0}^{\infty\:}\frac{3^{n}}{n^{3}}
6y^'=y^2
6y^{\prime\:}=y^{2}
sum from n=2 to infinity of 2/(n^3-n)
\sum\:_{n=2}^{\infty\:}\frac{2}{n^{3}-n}
(dy)/(dt)=0.2*(y-sin(t))+cos(t)
\frac{dy}{dt}=0.2\cdot\:(y-\sin(t))+\cos(t)
integral of 1/(3x+5)
\int\:\frac{1}{3x+5}dx
integral of (x+1)(x+4)
\int\:(x+1)(x+4)dx
integral of 1/(xsqrt(x^2-a^2))
\int\:\frac{1}{x\sqrt{x^{2}-a^{2}}}dx
limit as x approaches 6 of 2x
\lim\:_{x\to\:6}(2x)
(\partial)/(\partial y)(sqrt(2xy))
\frac{\partial\:}{\partial\:y}(\sqrt{2xy})
derivative of (2pi-xcos(x)/(x-2pi))
\frac{d}{dx}(\frac{2π-x\cos(x)}{x-2π})
derivative of 7e^{x^2+1}
\frac{d}{dx}(7e^{x^{2}+1})
integral of (5-x)
\int\:(5-x)dx
inverse oflaplace 1/(s(s^1+1))
inverselaplace\:\frac{1}{s(s^{1}+1)}
derivative of 2^3
\frac{d}{dx}(2^{3})
derivative of a^2x^2+bx+49
\frac{d}{dx}(a^{2}x^{2}+bx+49)
integral of (x^2+x+1)*sin(x)
\int\:(x^{2}+x+1)\cdot\:\sin(x)dx
integral of (arctan(4x))/(1+16x^2)
\int\:\frac{\arctan(4x)}{1+16x^{2}}dx
tangent of y=5x-2x^2,(-3,-33)
tangent\:y=5x-2x^{2},(-3,-33)
integral of 1+2cos(2θ)+1/2 (1+cos(4θ))
\int\:1+2\cos(2θ)+\frac{1}{2}(1+\cos(4θ))dθ
(12x^2+y-1)dx-(10y-x)dy=0,y(1)=0
(12x^{2}+y-1)dx-(10y-x)dy=0,y(1)=0
derivative of 9/(4(3x+2)^{3/2)}
derivative\:\frac{9}{4(3x+2)^{\frac{3}{2}}}
integral of e^{2x-4}
\int\:e^{2x-4}dx
integral from 0 to t of-8e^ssin(t-s)
\int\:_{0}^{t}-8e^{s}\sin(t-s)ds
integral of (x-3)/(sqrt(x^2-6x-1))
\int\:\frac{x-3}{\sqrt{x^{2}-6x-1}}dx
integral of (x^4)/((2+x^5)^2)
\int\:\frac{x^{4}}{(2+x^{5})^{2}}dx
derivative of (2x/(x+3))
\frac{d}{dx}(\frac{2x}{x+3})
sum from n=8 to infinity of e^{3-4n}
\sum\:_{n=8}^{\infty\:}e^{3-4n}
integral of 1/(2x^3)
\int\:\frac{1}{2x^{3}}dx
(\partial)/(\partial x)(x^2y^2)
\frac{\partial\:}{\partial\:x}(x^{2}y^{2})
(\partial)/(\partial x)(cos(sin(x^2)))
\frac{\partial\:}{\partial\:x}(\cos(\sin(x^{2})))
d/(dv)(ln(cosh(2v))-1/2 tanh^2(2v))
\frac{d}{dv}(\ln(\cosh(2v))-\frac{1}{2}\tanh^{2}(2v))
inverse oflaplace (10)/(s(s+1))
inverselaplace\:\frac{10}{s(s+1)}
derivative of ({f}(x)/(x^2))
\frac{d}{dx}(\frac{{f}(x)}{x^{2}})
derivative of sqrt(3x^4-1)
\frac{d}{dx}(\sqrt{3x^{4}-1})
integral of ((x^2-x)/(x^3-6x^2+11x-6))
\int\:(\frac{x^{2}-x}{x^{3}-6x^{2}+11x-6})dx
derivative of e^{{g}(x(x^3)-2x})
\frac{d}{dx}(e^{{g}(x)(x^{3})-2x})
derivative of x/(x+y)
\frac{d}{dx}(\frac{x}{x+y})
derivative of y=e^{5sqrt(x)}
derivative\:y=e^{5\sqrt{x}}
derivative of x^3-8x^2
derivative\:x^{3}-8x^{2}
integral from-1 to 1 of (sqrt(1-x^2))
\int\:_{-1}^{1}(\sqrt{1-x^{2}})dx
derivative of f(x)=x^2sqrt(x)-5x
derivative\:f(x)=x^{2}\sqrt{x}-5x
derivative of 3e^{x/4}
\frac{d}{dx}(3e^{\frac{x}{4}})
tangent of x^2-2x+3
tangent\:x^{2}-2x+3
(\partial)/(\partial u)(v)
\frac{\partial\:}{\partial\:u}(v)
slope of y=7x-x^2
slope\:y=7x-x^{2}
tangent of f(x)= 1/(1+x^2),\at x=1
tangent\:f(x)=\frac{1}{1+x^{2}},\at\:x=1
integral of (x^2)/(1+x^3)
\int\:\frac{x^{2}}{1+x^{3}}dx
integral of sqrt(1+9x^2)
\int\:\sqrt{1+9x^{2}}dx
integral of (e^{2x})/(e^{2x)+7}
\int\:\frac{e^{2x}}{e^{2x}+7}dx
tangent of f(x)= x/(sqrt(2x-1))
tangent\:f(x)=\frac{x}{\sqrt{2x-1}}
derivative of (x-3/(2x^2e^x))
\frac{d}{dx}(\frac{x-3}{2x^{2}e^{x}})
integral from 0 to ln(2) of e^x
\int\:_{0}^{\ln(2)}e^{x}dx
x(dy)/(dx)-y=x^2
x\frac{dy}{dx}-y=x^{2}
integral from 1 to 2 of (ln(x))/(x^2)
\int\:_{1}^{2}\frac{\ln(x)}{x^{2}}dx
(dx)/(dt)-4x=cos(3t)
\frac{dx}{dt}-4x=\cos(3t)
integral from 0 to infinity of e^{-6x}
\int\:_{0}^{\infty\:}e^{-6x}dx
sum from n=0 to infinity of n-1
\sum\:_{n=0}^{\infty\:}n-1
derivative of ln^2(x/3)
\frac{d}{dx}(\ln^{2}(\frac{x}{3}))
integral of 1/(3y)
\int\:\frac{1}{3y}dy
integral of ((tan(x))/(cos^2(x)))
\int\:(\frac{\tan(x)}{\cos^{2}(x)})dx
integral of x(2sqrt(x)+1)
\int\:x(2\sqrt{x}+1)dx
sum from n=1 to infinity of 1/(2n+4)
\sum\:_{n=1}^{\infty\:}\frac{1}{2n+4}
integral of 1/(sin(x)sin(2x))
\int\:\frac{1}{\sin(x)\sin(2x)}dx
integral of 2x(x^2+2)^{-5}
\int\:2x(x^{2}+2)^{-5}dx
x^5y^'+y^5=0
x^{5}y^{\prime\:}+y^{5}=0
limit as x approaches-1 of e^0
\lim\:_{x\to\:-1}(e^{0})
derivative of pi/((3x^2))
\frac{d}{dx}(\frac{π}{(3x)^{2}})
(dy)/(dx)=5+sqrt(y-5x+8)
\frac{dy}{dx}=5+\sqrt{y-5x+8}
integral of sin^3(18x)cos^6(18x)
\int\:\sin^{3}(18x)\cos^{6}(18x)dx
derivative of 4x^2+6
\frac{d}{dx}(4x^{2}+6)
taylor ((1+v))/((1-v))
taylor\:\frac{(1+v)}{(1-v)}
integral of x^9+9
\int\:x^{9}+9dx
(dy)/(dt)=ln(5t-4)
\frac{dy}{dt}=\ln(5t-4)
integral of (3x^2)/((64+x^2)^2)
\int\:\frac{3x^{2}}{(64+x^{2})^{2}}dx
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