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Popular Calculus Problems
limit as x approaches a of f(x)(x)^{g(x)}
\lim\:_{x\to\:a}(f(x)(x)^{g(x)})
derivative of (x^2/(16))
\frac{d}{dx}(\frac{x^{2}}{16})
integral of sec^2(x)+tan(x)
\int\:\sec^{2}(x)+\tan(x)dx
derivative of {f}(x(3x^2+5))
\frac{d}{dx}({f}(x)(3x^{2}+5))
(\partial)/(\partial x)(y^2-x)
\frac{\partial\:}{\partial\:x}(y^{2}-x)
inverse oflaplace ((85))/((18s+90))
inverselaplace\:\frac{(85)}{(18s+90)}
derivative of (70x/((3x^2+8)^2))
\frac{d}{dx}(\frac{70x}{(3x^{2}+8)^{2}})
limit as x approaches infinity of (x^2)/(e^{4x)}
\lim\:_{x\to\:\infty\:}(\frac{x^{2}}{e^{4x}})
derivative of 3arctan(x+sqrt(1+x^2))
derivative\:3\arctan(x+\sqrt{1+x^{2}})
integral of (cot(x))/(sin^2(x))
\int\:\frac{\cot(x)}{\sin^{2}(x)}dx
sum from n=0 to infinity of x(1-x)^{n-1}
\sum\:_{n=0}^{\infty\:}x(1-x)^{n-1}
integral of sqrt(1-4x^2)
\int\:\sqrt{1-4x^{2}}dx
derivative of (x^2+1(x+1)^2)
\frac{d}{dx}((x^{2}+1)(x+1)^{2})
(\partial)/(\partial x)(9e^xln(y))
\frac{\partial\:}{\partial\:x}(9e^{x}\ln(y))
(dy)/(dx)=(e^x+5)^2
\frac{dy}{dx}=(e^{x}+5)^{2}
integral of 1/((1+sqrt(x))^5\sqrt{x)}
\int\:\frac{1}{(1+\sqrt{x})^{5}\sqrt{x}}dx
limit as x approaches 0 of (sin^2(2x))/x
\lim\:_{x\to\:0}(\frac{\sin^{2}(2x)}{x})
derivative of f(x)=tan(e^x)
derivative\:f(x)=\tan(e^{x})
derivative of (x^2-5x)/(x+1)
derivative\:\frac{x^{2}-5x}{x+1}
sum from n=0 to infinity of (5^n)/(n!)
\sum\:_{n=0}^{\infty\:}\frac{5^{n}}{n!}
integral of 8e^{-2x}
\int\:8e^{-2x}dx
taylor x^2cos(x),pi
taylor\:x^{2}\cos(x),π
integral of 1/(2^x)
\int\:\frac{1}{2^{x}}dx
derivative of y=x^2sin^9(x)+xcos^{-4}(x)
derivative\:y=x^{2}\sin^{9}(x)+x\cos^{-4}(x)
integral of 1/(x^2sqrt(4x^2+9))
\int\:\frac{1}{x^{2}\sqrt{4x^{2}+9}}dx
derivative of f(x)=6x^3-27/2 x^2+3
derivative\:f(x)=6x^{3}-\frac{27}{2}x^{2}+3
derivative of (8x+5^2)
\frac{d}{dx}((8x+5)^{2})
derivative of 8/(7x^2)
derivative\:\frac{8}{7x^{2}}
derivative of (5x^6+8x^3)^4
derivative\:(5x^{6}+8x^{3})^{4}
inverse oflaplace 2/(s(0.12s+1))
inverselaplace\:\frac{2}{s(0.12s+1)}
xy^'=y+7x^2sin(x)
xy^{\prime\:}=y+7x^{2}\sin(x)
(\partial)/(\partial x)(xy^{1/2})
\frac{\partial\:}{\partial\:x}(xy^{\frac{1}{2}})
derivative of R(t)=50t^2e^{-t}+8
derivative\:R(t)=50t^{2}e^{-t}+8
derivative of 4x^3-2x^2
\frac{d}{dx}(4x^{3}-2x^{2})
y^{''}-8y^'+16y=t^{-3}e^{4t}
y^{\prime\:\prime\:}-8y^{\prime\:}+16y=t^{-3}e^{4t}
(16+x^2)((dy)/(dx))-2xy=0
(16+x^{2})(\frac{dy}{dx})-2xy=0
derivative of ln((x^2)/(3-x))
derivative\:\ln(\frac{x^{2}}{3-x})
(dy)/(dx)=3y^{2/3}
\frac{dy}{dx}=3y^{\frac{2}{3}}
(\partial)/(\partial y)(2xy^4+2)
\frac{\partial\:}{\partial\:y}(2xy^{4}+2)
limit as x approaches 0 of 1/(2x)
\lim\:_{x\to\:0}(\frac{1}{2x})
derivative of (x^3-x+3x^{3/2}/(sqrt(x)))
\frac{d}{dx}(\frac{x^{3}-x+3x^{\frac{3}{2}}}{\sqrt{x}})
derivative of x/(1-ln(x))
\frac{d}{dx}(\frac{x}{1-\ln(x)})
y^'=0.002y-200
y^{\prime\:}=0.002y-200
integral from 1/2 to 1 of (4y+5)/(y^2+y)
\int\:_{\frac{1}{2}}^{1}\frac{4y+5}{y^{2}+y}dy
integral from-5 to 5 of 1/(x^{(2/3))}
\int\:_{-5}^{5}\frac{1}{x^{(\frac{2}{3})}}dx
slope of (0,-3),(2,1)
slope\:(0,-3),(2,1)
derivative of 1/3
derivative\:\frac{1}{3}
integral of (x^2+1)^2(2x)
\int\:(x^{2}+1)^{2}(2x)dx
area y=xsqrt(9-x^2),y=0,x=0,x=3
area\:y=x\sqrt{9-x^{2}},y=0,x=0,x=3
derivative of arccos(6x)
\frac{d}{dx}(\arccos(6x))
integral of x^3*ln(x)
\int\:x^{3}\cdot\:\ln(x)dx
integral from 1 to e of (9x^2+9x+9)/x
\int\:_{1}^{e}\frac{9x^{2}+9x+9}{x}dx
integral of 1/6
\int\:\frac{1}{6}dx
(\partial)/(\partial x)(6x^2-4xy^2)
\frac{\partial\:}{\partial\:x}(6x^{2}-4xy^{2})
derivative of f(-1)=(x+3)/2
derivative\:f(-1)=\frac{x+3}{2}
(\partial)/(\partial x)(ln(1-x-y)-x^{-1}-y^{-1})
\frac{\partial\:}{\partial\:x}(\ln(1-x-y)-x^{-1}-y^{-1})
derivative of f(x)=e^{-5x}
derivative\:f(x)=e^{-5x}
derivative of y=sqrt(x+10)
derivative\:y=\sqrt{x+10}
inverse oflaplace ((5))/(s^2-9)
inverselaplace\:\frac{(5)}{s^{2}-9}
laplacetransform t^3+3t^2+3t+1
laplacetransform\:t^{3}+3t^{2}+3t+1
d/(dt)(t^{-2}ln(t))
\frac{d}{dt}(t^{-2}\ln(t))
implicit e^{x/y}=3x-y
implicit\:e^{\frac{x}{y}}=3x-y
(\partial)/(\partial x)(sqrt(1-x^2))
\frac{\partial\:}{\partial\:x}(\sqrt{1-x^{2}})
(\partial)/(\partial y)(x^4sin(xy^3))
\frac{\partial\:}{\partial\:y}(x^{4}\sin(xy^{3}))
integral of sqrt((8+x)/(8-x))
\int\:\sqrt{\frac{8+x}{8-x}}dx
limit as x approaches infinity of (log_{2}(x))/(sqrt(x))
\lim\:_{x\to\:\infty\:}(\frac{\log_{2}(x)}{\sqrt{x}})
domain of f(x)=2x^4
domain\:f(x)=2x^{4}
derivative of 5-2x^3
\frac{d}{dx}(5-2x^{3})
integral of (x^2-1)/(x^2)
\int\:\frac{x^{2}-1}{x^{2}}dx
integral of x^2e^{-18x}
\int\:x^{2}e^{-18x}dx
(2x^4+y^4)dy-x^3ydx=0
(2x^{4}+y^{4})dy-x^{3}ydx=0
derivative of f(x)=sqrt(y)
derivative\:f(x)=\sqrt{y}
(\partial)/(\partial x)((m^2)/(4xy))
\frac{\partial\:}{\partial\:x}(\frac{m^{2}}{4xy})
derivative of arcsin(1)
\frac{d}{dx}(\arcsin(1))
limit as x approaches 2 of 2x-1/x
\lim\:_{x\to\:2}(2x-\frac{1}{x})
integral from-1 to 1 of (x^2+6x)^3(2x+6)
\int\:_{-1}^{1}(x^{2}+6x)^{3}(2x+6)dx
integral from 1 to 9 of 1/(xsqrt(x^2+9))
\int\:_{1}^{9}\frac{1}{x\sqrt{x^{2}+9}}dx
derivative of 5x^3(2x^2-1)
\frac{d}{dx}(5x^{3}(2x^{2}-1))
derivative of tan(e^{2t})+e^{tan(2t)}
derivative\:\tan(e^{2t})+e^{\tan(2t)}
taylor 1/(1+2x)
taylor\:\frac{1}{1+2x}
limit as x approaches 3 of (x-0)*(x-3)
\lim\:_{x\to\:3}((x-0)\cdot\:(x-3))
taylor sin(x), pi/6
taylor\:\sin(x),\frac{π}{6}
integral of (e^{y^3+2})
\int\:(e^{y^{3}+2})dy
slope ofintercept (1,4),(3,-1)
slopeintercept\:(1,4),(3,-1)
integral from 0 to 4 of (x)
\int\:_{0}^{4}(x)dx
limit as x approaches 0+of (x-1)/(x^2)
\lim\:_{x\to\:0+}(\frac{x-1}{x^{2}})
integral from 0 to 2 of (x-1)/(x+1)
\int\:_{0}^{2}\frac{x-1}{x+1}dx
derivative of ln((2x+3)/(3x-4))
derivative\:\ln(\frac{2x+3}{3x-4})
integral of 7/(35sin(x)-12cos(x))
\int\:\frac{7}{35\sin(x)-12\cos(x)}dx
integral from 0 to t of e^{-x^2}
\int\:_{0}^{t}e^{-x^{2}}dx
sum from n=0 to infinity of (-3x)^n
\sum\:_{n=0}^{\infty\:}(-3x)^{n}
limit as x approaches 0 of 1-cos^2(x)
\lim\:_{x\to\:0}(1-\cos^{2}(x))
integral of (4+t)
\int\:(4+t)dt
tangent of y=3x^2+2x,(-1,1)
tangent\:y=3x^{2}+2x,(-1,1)
integral of ln(y^2+1)
\int\:\ln(y^{2}+1)dy
d/(dθ)(4cos(θ))
\frac{d}{dθ}(4\cos(θ))
derivative of (x^2-1/((x-1)^2))
\frac{d}{dx}(\frac{x^{2}-1}{(x-1)^{2}})
y^'=sqrt(xy)
y^{\prime\:}=\sqrt{xy}
integral of x/(10-0.8x)
\int\:\frac{x}{10-0.8x}dx
integral from 9 to 16 of 1/(6-sqrt(x))
\int\:_{9}^{16}\frac{1}{6-\sqrt{x}}dx
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