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Popular Calculus Problems

tangent of f(x)=5tan(x),\at x= pi/4	tangent\:f(x)=5\tan(x),\at\:x=\frac{π}{4}
inverse oflaplace 5	inverselaplace\:5
derivative of sqrt(9x-45)	\frac{d}{dx}(\sqrt{9x-45})
derivative of f(x)=4x^{-3}+x^2+14	derivative\:f(x)=4x^{-3}+x^{2}+14
derivative of e^{-2/3 x}	\frac{d}{dx}(e^{-\frac{2}{3}x})
limit as x approaches 0 of x^{4sin(x)}	\lim\:_{x\to\:0}(x^{4\sin(x)})
derivative of f(x)=(sqrt(x))/(x+8)	derivative\:f(x)=\frac{\sqrt{x}}{x+8}
integral of (x-3)/(\sqrt[3]{x^5)}	\int\:\frac{x-3}{\sqrt[3]{x^{5}}}dx
integral of tan^{3/2}(x)sec^4(x)	\int\:\tan^{\frac{3}{2}}(x)\sec^{4}(x)dx
integral of (3x+16)/(x^2-x-6)	\int\:\frac{3x+16}{x^{2}-x-6}dx
limit as x approaches 1 of 0.8x+1.2	\lim\:_{x\to\:1}(0.8x+1.2)
limit as x approaches 0 of cos(x)sin(x)	\lim\:_{x\to\:0}(\cos(x)\sin(x))
y^'=2y+3	y^{\prime\:}=2y+3
(dx)/(dt)=(a-b*t)x	\frac{dx}{dt}=(a-b\cdot\:t)x
derivative of (x^2+x^2)	\frac{d}{dx}((x^{2}+x)^{2})
sum from n=0 to infinity of (n^5)/(5^n)	\sum\:_{n=0}^{\infty\:}\frac{n^{5}}{5^{n}}
limit as t approaches-1 of ln(t+2)	\lim\:_{t\to\:-1}(\ln(t+2))
y=(z^2+1)/(z^2-1)	y=\frac{z^{2}+1}{z^{2}-1}
limit as x approaches-infinity of (x-8)/(x^2+6)	\lim\:_{x\to\:-\infty\:}(\frac{x-8}{x^{2}+6})
derivative of (dy/(dx))+y=-1	\frac{d}{dx}(\frac{dy}{dx})+y=-1
integral of (e^x+e)	\int\:(e^{x}+e)dx
(\partial)/(\partial x)(-(x-2)(y-2)(x+y-3))	\frac{\partial\:}{\partial\:x}(-(x-2)(y-2)(x+y-3))
integral of (4x)/(sqrt(3x^2-1))	\int\:\frac{4x}{\sqrt{3x^{2}-1}}dx
(\partial)/(\partial x)(e^{-4x})	\frac{\partial\:}{\partial\:x}(e^{-4x})
limit as x approaches pi/2 of 4sec(x)	\lim\:_{x\to\:\frac{π}{2}}(4\sec(x))
derivative of (4x/((x-1)^2))	\frac{d}{dx}(\frac{4x}{(x-1)^{2}})
derivative of y=\sqrt[3]{x}-1/(x^2)	derivative\:y=\sqrt[3]{x}-\frac{1}{x^{2}}
integral from 0 to 2 of sqrt(2x^2+1)	\int\:_{0}^{2}\sqrt{2x^{2}+1}dx
integral from 0 to 1 of x/(sqrt(1+x^2))	\int\:_{0}^{1}\frac{x}{\sqrt{1+x^{2}}}dx
integral of ((ln(x))^{36})/x	\int\:\frac{(\ln(x))^{36}}{x}dx
integral from-1 to 1 of (6-6x^2)^2	\int\:_{-1}^{1}(6-6x^{2})^{2}dx
limit as x approaches infinity of arctan(5)-arctan(x+1)	\lim\:_{x\to\:\infty\:}(\arctan(5)-\arctan(x+1))
8x^2y^'=y^'+5xe^{-y}	8x^{2}y^{\prime\:}=y^{\prime\:}+5xe^{-y}
(dy)/(dx)+y^3x+2y=0	\frac{dy}{dx}+y^{3}x+2y=0
integral of 2/(sqrt(x))+(sqrt(x))/2	\int\:\frac{2}{\sqrt{x}}+\frac{\sqrt{x}}{2}dx
limit as x approaches pi/2 of (csc(4x))/(csc(2x))	\lim\:_{x\to\:\frac{π}{2}}(\frac{\csc(4x)}{\csc(2x)})
tangent of f(x)=(2x-1)/(x+5),\at x=1	tangent\:f(x)=\frac{2x-1}{x+5},\at\:x=1
limit as x approaches-infinity of (4x^6)/(x^3-8)	\lim\:_{x\to\:-\infty\:}(\frac{4x^{6}}{x^{3}-8})
limit as θ approaches pi/3 of (tan(θ))/(sin^2(θ))	\lim\:_{θ\to\:\frac{π}{3}}(\frac{\tan(θ)}{\sin^{2}(θ)})
integral of (x^2)/((x+1)^{50)}	\int\:\frac{x^{2}}{(x+1)^{50}}dx
integral of (2x-1)ln(17x)	\int\:(2x-1)\ln(17x)dx
area 2/x ,4x, 4/x	area\:\frac{2}{x},4x,\frac{4}{x}
taylor 5x	taylor\:5x
xy^'-4y=x^6e^x	xy^{\prime\:}-4y=x^{6}e^{x}
limit as x approaches infinity of (x^{99})/(e^x)	\lim\:_{x\to\:\infty\:}(\frac{x^{99}}{e^{x}})
integral from 1 to a of (1/(sqrt(4x)))	\int\:_{1}^{a}(\frac{1}{\sqrt{4x}})dx
derivative of e^{sin(x)}cos(x)	derivative\:e^{\sin(x)}\cos(x)
limit as x approaches-1 of (x+1)/(sqrt(6x^2+3)+3x)	\lim\:_{x\to\:-1}(\frac{x+1}{\sqrt{6x^{2}+3}+3x})
integral of 2xsec^2(3x)	\int\:2x\sec^{2}(3x)dx
integral from 0 to 2 of x/(sqrt(1+x^2))	\int\:_{0}^{2}\frac{x}{\sqrt{1+x^{2}}}dx
derivative of f(x)=3x^2-5x+2	\frac{d}{dx}f(x)=3x^{2}-5x+2
implicit (dy)/(dx),x^5y+5xy^5=x+y	implicit\:\frac{dy}{dx},x^{5}y+5xy^{5}=x+y
limit as x approaches 2+of cos(x-2)	\lim\:_{x\to\:2+}(\cos(x-2))
integral of ye^{y^2}	\int\:ye^{y^{2}}dy
xy^'-2y=x^2	xy^{\prime\:}-2y=x^{2}
integral from 0 to 3 of 1/((1-x)^2)	\int\:_{0}^{3}\frac{1}{(1-x)^{2}}dx
derivative of x/(4x+9)	derivative\:\frac{x}{4x+9}
tangent of f(x)=e^{9x}cos(pix),\at x=0	tangent\:f(x)=e^{9x}\cos(πx),\at\:x=0
derivative of 9x^8e^x+e^xx^9	derivative\:9x^{8}e^{x}+e^{x}x^{9}
integral of (x^4-e^{-2x})	\int\:(x^{4}-e^{-2x})dx
integral of cos(t)tan(t)	\int\:\cos(t)\tan(t)dt
derivative of x^4e^{4x}	\frac{d}{dx}(x^{4}e^{4x})
y^'=y(xy^4-1)	y^{\prime\:}=y(xy^{4}-1)
x^2(dy)/(dx)+xy=x^3+1	x^{2}\frac{dy}{dx}+xy=x^{3}+1
derivative of 2x+6	\frac{d}{dx}(2x+6)
limit as x approaches infinity of x/(sqrt(x^3+6))	\lim\:_{x\to\:\infty\:}(\frac{x}{\sqrt{x^{3}+6}})
(\partial)/(\partial x)(ln(x+z))	\frac{\partial\:}{\partial\:x}(\ln(x+z))
integral of 5sin(6x)+6sin(5x)	\int\:5\sin(6x)+6\sin(5x)dx
derivative of (x-2^3(x-1))	\frac{d}{dx}((x-2)^{3}(x-1))
derivative of (x-1)/(x+1)	derivative\:\frac{x-1}{x+1}
derivative of y=(2x+1)^3+6x(2x+1)^2	derivative\:y=(2x+1)^{3}+6x(2x+1)^{2}
(\partial)/(\partial y)(e^{-3x}cos(6y))	\frac{\partial\:}{\partial\:y}(e^{-3x}\cos(6y))
(dy)/(dx)=ytan(x)	\frac{dy}{dx}=y\tan(x)
integral of x+12x^2	\int\:x+12x^{2}dx
f(x)=(x-2)^2(x-3)^3	f(x)=(x-2)^{2}(x-3)^{3}
integral of (x+2)/(x^2+x)	\int\:\frac{x+2}{x^{2}+x}dx
implicit (dy)/(dx),sqrt(xy)=x^7y+72	implicit\:\frac{dy}{dx},\sqrt{xy}=x^{7}y+72
limit as x approaches-infinity of ln(x-2)	\lim\:_{x\to\:-\infty\:}(\ln(x-2))
derivative of y=(tan(1/x))^{sec(1/x)}	derivative\:y=(\tan(\frac{1}{x}))^{\sec(\frac{1}{x})}
limit as x approaches 1 of (x^2-sqrt(x))/(1-x)	\lim\:_{x\to\:1}(\frac{x^{2}-\sqrt{x}}{1-x})
integral of \sqrt[3]{ax^2}	\int\:\sqrt[3]{ax^{2}}dx
integral of (3^{2x})/(1+3^{2x)}	\int\:\frac{3^{2x}}{1+3^{2x}}dx
limit as x approaches infinity of tan(7/x)	\lim\:_{x\to\:\infty\:}(\tan(\frac{7}{x}))
derivative of 6x^2+15xy+3y^2	\frac{d}{dx}(6x^{2}+15xy+3y^{2})
integral of (e^xx)	\int\:(e^{x}x)dx
limit as x approaches infinity of ((e^{2x}-8-19x))/((19x)^2)	\lim\:_{x\to\:\infty\:}(\frac{(e^{2x}-8-19x)}{(19x)^{2}})
y^{''}+49y=0	y^{\prime\:\prime\:}+49y=0
integral of 64sin^2(x)	\int\:64\sin^{2}(x)dx
tangent of f(x)=x^3-11x,\at x=3	tangent\:f(x)=x^{3}-11x,\at\:x=3
sum from n=2 to infinity of (3/4)^n	\sum\:_{n=2}^{\infty\:}(\frac{3}{4})^{n}
derivative of (4x^5-2x(3x+e^x))	\frac{d}{dx}((4x^{5}-2x)(3x+e^{x}))
derivative of 7/(sqrt(t))	derivative\:\frac{7}{\sqrt{t}}
limit as x approaches infinity of 2x^3-5x-4x^3	\lim\:_{x\to\:\infty\:}(2x^{3}-5x-4x^{3})
derivative of (x-2)^{1/3}	derivative\:(x-2)^{\frac{1}{3}}
integral of cot^3(6x)	\int\:\cot^{3}(6x)dx
integral from 0 to 1 of 2/(2x^2+3x+1)	\int\:_{0}^{1}\frac{2}{2x^{2}+3x+1}dx
integral of 9+1/x	\int\:9+\frac{1}{x}dx
d/(dt)(1+3t)	\frac{d}{dt}(1+3t)
integral of-56cos(7z-5)	\int\:-56\cos(7z-5)dz
integral of (6x^2+2x+7)/(x^3-1)	\int\:\frac{6x^{2}+2x+7}{x^{3}-1}dx

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