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Popular Calculus Problems

derivative of y=4x^3sqrt(1-x^2)	derivative\:y=4x^{3}\sqrt{1-x^{2}}
integral of (x+4)/(x-4)	\int\:\frac{x+4}{x-4}dx
d/(dt)(6-3t^2)	\frac{d}{dt}(6-3t^{2})
(\partial)/(\partial y)((xy^2)/(t+2z))	\frac{\partial\:}{\partial\:y}(\frac{xy^{2}}{t+2z})
limit as x approaches-1 of 1-2x	\lim\:_{x\to\:-1}(1-2x)
(2x-1)dx+(7y+9)dy=0	(2x-1)dx+(7y+9)dy=0
(x^{3x})^'	(x^{3x})^{\prime\:}
(1+cos(x))y^'=(1+e^{-y})sin(x)	(1+\cos(x))y^{\prime\:}=(1+e^{-y})\sin(x)
integral of 1/((2x-1)^2)	\int\:\frac{1}{(2x-1)^{2}}dx
(\partial)/(\partial x)(arctan(x^2y))	\frac{\partial\:}{\partial\:x}(\arctan(x^{2}y))
integral from-infinity to-1 of 0	\int\:_{-\infty\:}^{-1}0dx
integral of (18x-6)/(sqrt(3x^2-2x-7))	\int\:\frac{18x-6}{\sqrt{3x^{2}-2x-7}}dx
inverse oflaplace (10)/(5s+1)	inverselaplace\:\frac{10}{5s+1}
integral of 4sin(x)+(2x^5-sqrt(x))/x	\int\:4\sin(x)+\frac{2x^{5}-\sqrt{x}}{x}dx
limit as x approaches 0 of x(x-[x])	\lim\:_{x\to\:0}(x(x-[x]))
maclaurin (1+x)^{1/6}	maclaurin\:(1+x)^{\frac{1}{6}}
integral from 0 to 2pi of \|sin(x)\|	\int\:_{0}^{2π}\left\|\sin(x)\right\|dx
derivative of x/(9+x^2)	\frac{d}{dx}(\frac{x}{9+x^{2}})
integral from 1 to e^5 of x^3ln(x)	\int\:_{1}^{e^{5}}x^{3}\ln(x)dx
laplacetransform t^2cos(kt)	laplacetransform\:t^{2}\cos(kt)
integral from 1 to 2 of (3x^2+2x+1)	\int\:_{1}^{2}(3x^{2}+2x+1)dx
integral of xsqrt(5-2x)	\int\:x\sqrt{5-2x}dx
integral from 0 to 7 of xe^{-4x}	\int\:_{0}^{7}xe^{-4x}dx
tangent of f(x)=(2x+1)^{1/2},\at x=2	tangent\:f(x)=(2x+1)^{\frac{1}{2}},\at\:x=2
derivative of (4x/(1+x^3))	\frac{d}{dx}(\frac{4x}{1+x^{3}})
derivative of 2^x(pix^2+cos(x))	\frac{d}{dx}(2^{x}(πx^{2}+\cos(x)))
limit as x approaches 0 of (sin^2(6x))/7	\lim\:_{x\to\:0}(\frac{\sin^{2}(6x)}{7})
inverse oflaplace 1/(s(s^2-1))	inverselaplace\:\frac{1}{s(s^{2}-1)}
tangent of f(x)= 1/(x+2),\at x=7	tangent\:f(x)=\frac{1}{x+2},\at\:x=7
derivative of f(x)=(x^2)/(x+5)	derivative\:f(x)=\frac{x^{2}}{x+5}
integral from 4 to 9 of 1/(9-sqrt(x))	\int\:_{4}^{9}\frac{1}{9-\sqrt{x}}dx
(\partial)/(\partial x)(3x+8y+2)	\frac{\partial\:}{\partial\:x}(3x+8y+2)
(\partial)/(\partial x)(3x^2-4y^3)	\frac{\partial\:}{\partial\:x}(3x^{2}-4y^{3})
integral from 0 to pi/2 of cos(3x)	\int\:_{0}^{\frac{π}{2}}\cos(3x)dx
integral of (2e^x+8x^3+6x)	\int\:(2e^{x}+8x^{3}+6x)dx
integral of 4/(15sin(x)-8cos(x))	\int\:\frac{4}{15\sin(x)-8\cos(x)}dx
derivative of y=4-x^2	derivative\:y=4-x^{2}
(dy)/(dx)=(x^2-1)/(y^2+1),y(-1)=1	\frac{dy}{dx}=\frac{x^{2}-1}{y^{2}+1},y(-1)=1
limit as n approaches infinity of n/(-n)	\lim\:_{n\to\:\infty\:}(\frac{n}{-n})
limit as x approaches 3 of (3x-5)/(3-x)	\lim\:_{x\to\:3}(\frac{3x-5}{3-x})
(d^2x)/(dt^2)=-k*x	\frac{d^{2}x}{dt^{2}}=-k\cdot\:x
derivative of y=(x^4+1)^5	derivative\:y=(x^{4}+1)^{5}
(dx)/(dt)=6(x^2+1),x(pi/4)=1	\frac{dx}{dt}=6(x^{2}+1),x(\frac{π}{4})=1
limit as x approaches 0+of 2+x^9ln(x)	\lim\:_{x\to\:0+}(2+x^{9}\ln(x))
tangent of f(x)=x^2+x,(7,56)	tangent\:f(x)=x^{2}+x,(7,56)
integral of t*e^{-st}	\int\:t\cdot\:e^{-st}dt
integral of x^3ln(4x)	\int\:x^{3}\ln(4x)dx
limit as c approaches 1 of \delta(x-c)	\lim\:_{c\to\:1}(\delta(x-c))
integral of y^2+x^2	\int\:y^{2}+x^{2}dy
limit as x approaches 6-of \|x-6\|	\lim\:_{x\to\:6-}(\left\|x-6\right\|)
integral of (3e^{-3x})	\int\:(3e^{-3x})dx
(\partial)/(\partial x)(cos(x/y))	\frac{\partial\:}{\partial\:x}(\cos(\frac{x}{y}))
tangent of f(x)=(4x)/(x^2+1),\at x=0	tangent\:f(x)=\frac{4x}{x^{2}+1},\at\:x=0
integral of 6xcos(x)	\int\:6x\cos(x)dx
taylor φ^3cos(φ^4)	taylor\:φ^{3}\cos(φ^{4})
derivative of 25x^2	\frac{d}{dx}(25x^{2})
derivative of sin(1.5x)	\frac{d}{dx}(\sin(1.5x))
derivative of ke^{kx}	\frac{d}{dx}(ke^{kx})
(dy)/(dx)-y/x =-xe^{-x}	\frac{dy}{dx}-\frac{y}{x}=-xe^{-x}
integral of cot(7x)	\int\:\cot(7x)dx
d/(dt)((4cos(t)-2)e^{it})	\frac{d}{dt}((4\cos(t)-2)e^{it})
derivative of (ln(4x)^2)	\frac{d}{dx}((\ln(4x))^{2})
derivative of csc^7(x)	\frac{d}{dx}(\csc^{7}(x))
integral of (x+2)/((x^2+2x+10)^{5/2)}	\int\:\frac{x+2}{(x^{2}+2x+10)^{\frac{5}{2}}}dx
0=2x+1-2yy^',y(-2)=-1	0=2x+1-2yy^{\prime\:},y(-2)=-1
derivative of sin(2*x)	\frac{d}{dx}(\sin(2\cdot\:x))
derivative of 5+cos(x^2)	\frac{d}{dx}(5+\cos(x^{2}))
integral of e^{5y}	\int\:e^{5y}dy
integral of 12gx	\int\:12gxdx
integral of e^{-jwt}	\int\:e^{-jwt}dt
integral from-1 to 2 of (x^4-2x^3+2)	\int\:_{-1}^{2}(x^{4}-2x^{3}+2)dx
derivative of (7x+6)^3	derivative\:(7x+6)^{3}
integral from 1 to 2 of 2/5 x(x+1)	\int\:_{1}^{2}\frac{2}{5}x(x+1)dx
limit as x approaches 15 of (x^2)/5-3/x	\lim\:_{x\to\:15}(\frac{x^{2}}{5}-\frac{3}{x})
derivative of (x^2/(1+2x))	\frac{d}{dx}(\frac{x^{2}}{1+2x})
y^{''}+16y=16sec(4t)	y^{\prime\:\prime\:}+16y=16\sec(4t)
limit as x approaches 0 of cot(x)arcsin(x)	\lim\:_{x\to\:0}(\cot(x)\arcsin(x))
integral of 1/(7-2x)	\int\:\frac{1}{7-2x}dx
(dy)/(dx)=((2y+3)^2)/((4x+5)^2)	\frac{dy}{dx}=\frac{(2y+3)^{2}}{(4x+5)^{2}}
derivative of ln(e^{7x})	\frac{d}{dx}(\ln(e^{7x}))
limit as x approaches 0 of cos(2/x)	\lim\:_{x\to\:0}(\cos(\frac{2}{x}))
(dy)/(dx)=10+40x+10y+40xy	\frac{dy}{dx}=10+40x+10y+40xy
integral of tan(x)(6cos(x)-6sec(x))	\int\:\tan(x)(6\cos(x)-6\sec(x))dx
derivative of y=cot(7x-3)	derivative\:y=\cot(7x-3)
integral of (\sqrt[4]{x^3})	\int\:(\sqrt[4]{x^{3}})dx
integral of (10)/((x-1)(x^2-9))	\int\:\frac{10}{(x-1)(x^{2}-9)}dx
tangent of f(x)=1+cos(x),\at x= pi/2	tangent\:f(x)=1+\cos(x),\at\:x=\frac{π}{2}
derivative of f(x)=xcos(x)	derivative\:f(x)=x\cos(x)
integral of 1/((x+1)sqrt(x))	\int\:\frac{1}{(x+1)\sqrt{x}}dx
(\partial)/(\partial t)(1/t)	\frac{\partial\:}{\partial\:t}(\frac{1}{t})
limit as x approaches 0 of (4/(1+x)-4)/x	\lim\:_{x\to\:0}(\frac{\frac{4}{1+x}-4}{x})
(\partial)/(\partial x)((14x)/(7x^2+y^2+2))	\frac{\partial\:}{\partial\:x}(\frac{14x}{7x^{2}+y^{2}+2})
integral from 0 to 1 of 1/(sqrt(x+2))	\int\:_{0}^{1}\frac{1}{\sqrt{x+2}}dx
inverse oflaplace (7s+4)/(2s^2+16s+30)	inverselaplace\:\frac{7s+4}{2s^{2}+16s+30}
derivative of (x-2)/(x^2-4)	derivative\:\frac{x-2}{x^{2}-4}
limit as x approaches 2 of-x+2x^2-1	\lim\:_{x\to\:2}(-x+2x^{2}-1)
inverse oflaplace (10)/(s^2+2s+10)	inverselaplace\:\frac{10}{s^{2}+2s+10}
(\partial)/(\partial x)(4x^8y^6+6x^7y^5)	\frac{\partial\:}{\partial\:x}(4x^{8}y^{6}+6x^{7}y^{5})
integral of (e^{-16x})	\int\:(e^{-16x})dx
limit as x approaches pi of csc(x+pi)	\lim\:_{x\to\:π}(\csc(x+π))

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