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Popular Calculus Problems

d/(dy)(4x^2y^3+2)	\frac{d}{dy}(4x^{2}y^{3}+2)
integral of (x^2)/((8-x^3)^2)	\int\:\frac{x^{2}}{(8-x^{3})^{2}}dx
derivative of 7sqrt(2)t	derivative\:7\sqrt{2}t
limit as x approaches 0 of-x+3	\lim\:_{x\to\:0}(-x+3)
derivative of (3x-y)/(-x+y)	derivative\:\frac{3x-y}{-x+y}
sum from n=0 to infinity of 1/(2^n+1)	\sum\:_{n=0}^{\infty\:}\frac{1}{2^{n}+1}
tangent of f(x)=(7x)/(x-1),\at x=2	tangent\:f(x)=\frac{7x}{x-1},\at\:x=2
integral from 0 to 6 of pi(-x^2+6x)^2	\int\:_{0}^{6}π(-x^{2}+6x)^{2}dx
integral of x+3x^2	\int\:x+3x^{2}dx
integral of-(x+37)/4	\int\:-\frac{x+37}{4}dx
2xy(dy)/(dx)=4x^2+3y^2	2xy\frac{dy}{dx}=4x^{2}+3y^{2}
integral of v^3	\int\:v^{3}dv
limit as x approaches 400+of x	\lim\:_{x\to\:400+}(x)
d/(dt)(e^{t-3})	\frac{d}{dt}(e^{t-3})
derivative of xe^{xy^2}	\frac{d}{dx}(xe^{xy^{2}})
(\partial)/(\partial x)(x/(x^2+y^2+z^2))	\frac{\partial\:}{\partial\:x}(\frac{x}{x^{2}+y^{2}+z^{2}})
integral of cos(x)(8+8sin^2(x))	\int\:\cos(x)(8+8\sin^{2}(x))dx
tangent of y=3x^2+2,\at x=1	tangent\:y=3x^{2}+2,\at\:x=1
integral of xtan(x^2)	\int\:x\tan(x^{2})dx
(dy)/(dx)=2xy+3y-4x-6	\frac{dy}{dx}=2xy+3y-4x-6
(xdy)/(dx)=6y	\frac{xdy}{dx}=6y
limit as x approaches 7 of sqrt(x^2-49)	\lim\:_{x\to\:7}(\sqrt{x^{2}-49})
integral of (8+x^2)/(sqrt(x))	\int\:\frac{8+x^{2}}{\sqrt{x}}dx
integral from-2 to 2 of (x^2+1)	\int\:_{-2}^{2}(x^{2}+1)dx
2y^{''}+7y^'+3y=0	2y^{\prime\:\prime\:}+7y^{\prime\:}+3y=0
derivative of f(x)=x^2-2x^3	derivative\:f(x)=x^{2}-2x^{3}
derivative of 2x^2sin(x)	\frac{d}{dx}(2x^{2}\sin(x))
simplify-8e^{-4x^2}x	simplify\:-8e^{-4x^{2}}x
derivative of x-a	\frac{d}{dx}(x-a)
integral of-tan(1/2 x)	\int\:-\tan(\frac{1}{2}x)dx
integral of 4x^3e^{5x^4}	\int\:4x^{3}e^{5x^{4}}dx
derivative of f(x)=2x^2(x-3)	derivative\:f(x)=2x^{2}(x-3)
derivative of 60d(12+x^{-1})	\frac{d}{dx}(60d(12+x)^{-1})
(\partial)/(\partial y)(x^4e^{xy})	\frac{\partial\:}{\partial\:y}(x^{4}e^{xy})
integral from 1 to infinity of 1/((2k+23))	\int\:_{1}^{\infty\:}\frac{1}{(2k+23)}dk
y^'=2y-x	y^{\prime\:}=2y-x
derivative of 4/((3x)^{-2)}	derivative\:\frac{4}{(3x)^{-2}}
integral of (1/(x^2+4))	\int\:(\frac{1}{x^{2}+4})dx
limit as x approaches 0-of (e^x-1)/(e^x)	\lim\:_{x\to\:0-}(\frac{e^{x}-1}{e^{x}})
derivative of (x^2+4/x)	\frac{d}{dx}(\frac{x^{2}+4}{x})
inverse oflaplace 1/(sqrt(2s+3))	inverselaplace\:\frac{1}{\sqrt{2s+3}}
(\partial)/(\partial x)(x*e^{x+2y})	\frac{\partial\:}{\partial\:x}(x\cdot\:e^{x+2y})
limit as x approaches infinity of (sin(13x))/(3x)	\lim\:_{x\to\:\infty\:}(\frac{\sin(13x)}{3x})
derivative of (x+2y(x^2y+xy^2))	\frac{d}{dx}((x+2y)(x^{2}y+xy^{2}))
derivative of f(x)=x^3-27x+9	derivative\:f(x)=x^{3}-27x+9
integral of 5/((5x+2)ln(5x+2))	\int\:\frac{5}{(5x+2)\ln(5x+2)}dx
limit as x approaches 1 of sqrt(x-9)	\lim\:_{x\to\:1}(\sqrt{x-9})
integral of (ye^{xy}+2x-1)	\int\:(ye^{xy}+2x-1)dy
y^{''}+2y^'+y=2e^{-x}+x^3+2cos(x)	y^{\prime\:\prime\:}+2y^{\prime\:}+y=2e^{-x}+x^{3}+2\cos(x)
integral from 1 to infinity of x/(1+x^2)	\int\:_{1}^{\infty\:}\frac{x}{1+x^{2}}dx
limit as x approaches 3 of 1/((3-x)^2)	\lim\:_{x\to\:3}(\frac{1}{(3-x)^{2}})
t^2y^'+ty=3,y(1)=4	t^{2}y^{\prime\:}+ty=3,y(1)=4
integral from 0 to 1 of x^3-x^2	\int\:_{0}^{1}x^{3}-x^{2}dx
limit as x approaches 0+of (sqrt(x^2))/x	\lim\:_{x\to\:0+}(\frac{\sqrt{x^{2}}}{x})
derivative of ((t-sqrt(t)))/(t^{1/3)}	derivative\:\frac{(t-\sqrt{t})}{t^{\frac{1}{3}}}
integral of 10^{-x}	\int\:10^{-x}dx
laplacetransform sin(t)cos(2t)	laplacetransform\:\sin(t)\cos(2t)
derivative of 8sec(x)-7x	derivative\:8\sec(x)-7x
derivative of x^3\sqrt[3]{x}	\frac{d}{dx}(x^{3}\sqrt[3]{x})
integral of (x^2-2)/((x-2)(x+1)^3)	\int\:\frac{x^{2}-2}{(x-2)(x+1)^{3}}dx
slope of x^3-7x	slope\:x^{3}-7x
limit as x approaches 10 of x-10	\lim\:_{x\to\:10}(x-10)
integral of x^{4/5}	\int\:x^{\frac{4}{5}}dx
(\partial)/(\partial x)((2x+7)/(2y+1))	\frac{\partial\:}{\partial\:x}(\frac{2x+7}{2y+1})
derivative of f(x)= 9/((9-x^6)^{3/2)}	derivative\:f(x)=\frac{9}{(9-x^{6})^{\frac{3}{2}}}
limit as x approaches 0 of (x-3)/(x^2)	\lim\:_{x\to\:0}(\frac{x-3}{x^{2}})
sum from n=2 to infinity of (ln(n))/n	\sum\:_{n=2}^{\infty\:}\frac{\ln(n)}{n}
integral of 7sin(5θ)sin(θ)	\int\:7\sin(5θ)\sin(θ)dθ
derivative of a^2	derivative\:a^{2}
integral of xsin^2(2x^2)cos^2(2x^2)	\int\:x\sin^{2}(2x^{2})\cos^{2}(2x^{2})dx
derivative of (x^2+1)/(x^2-1)	derivative\:\frac{x^{2}+1}{x^{2}-1}
tangent of y=x^2+5,(4,21)	tangent\:y=x^{2}+5,(4,21)
limit as u approaches 0 of ln((u+1)/u)	\lim\:_{u\to\:0}(\ln(\frac{u+1}{u}))
normal of y=-x^3+2x^2-4,\at x=-1	normal\:y=-x^{3}+2x^{2}-4,\at\:x=-1
slope of (-4.3)(5.3)	slope\:(-4.3)(5.3)
sum from n=1 to infinity of 5/(3^n+1)	\sum\:_{n=1}^{\infty\:}\frac{5}{3^{n}+1}
sum from n=0 to infinity of (2n-3)(4x)^n	\sum\:_{n=0}^{\infty\:}(2n-3)(4x)^{n}
derivative of f(t)=1.7e^{0.76t}	derivative\:f(t)=1.7e^{0.76t}
derivative of sqrt((1-x^2))	\frac{d}{dx}(\sqrt{(1-x^{2})})
integral of ((x-1)^3)/x	\int\:\frac{(x-1)^{3}}{x}dx
f(x)=sqrt(3x^2+1)	f(x)=\sqrt{3x^{2}+1}
derivative of 1/2 x^4	derivative\:\frac{1}{2}x^{4}
limit as x approaches 2 of x^4+2x+4	\lim\:_{x\to\:2}(x^{4}+2x+4)
integral of (e^{-u})/(sqrt(piu))	\int\:\frac{e^{-u}}{\sqrt{πu}}du
integral of ycos(x)	\int\:y\cos(x)dx
derivative of e^{2x-6}-e	\frac{d}{dx}(e^{2x-6}-e)
derivative of x/((x+1))	\frac{d}{dx}(\frac{x}{(x+1)})
d/(dk)(ln(3+k))	\frac{d}{dk}(\ln(3+k))
derivative of (x+(x+sin^2(x)^3)^4)	\frac{d}{dx}((x+(x+\sin^{2}(x))^{3})^{4})
integral of 3x+x/((x^2+2)^{4/3)}	\int\:3x+\frac{x}{(x^{2}+2)^{\frac{4}{3}}}dx
derivative of y=x^{2/3}-x	derivative\:y=x^{\frac{2}{3}}-x
derivative of x^2-2x^2	\frac{d}{dx}(x^{2}-2x^{2})
integral of tsinh(mt)	\int\:t\sinh(mt)dt
tangent of f(x)= 3/(x+1),\at x=-2	tangent\:f(x)=\frac{3}{x+1},\at\:x=-2
(dy)/(dt)=-0.4y+6.2e^{-0.73t}	\frac{dy}{dt}=-0.4y+6.2e^{-0.73t}
integral of e^x(cos(x))	\int\:e^{x}(\cos(x))dx
area x+2,x^2	area\:x+2,x^{2}
integral of x*sqrt(4-x^2)	\int\:x\cdot\:\sqrt{4-x^{2}}dx
x^2y^{''}-2xy^'+(x^2+2)y=0	x^{2}y^{\prime\:\prime\:}-2xy^{\prime\:}+(x^{2}+2)y=0
derivative of y= x/5-5/x	derivative\:y=\frac{x}{5}-\frac{5}{x}

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