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Popular Calculus Problems

f(x)=3\sqrt[3]{x}	f(x)=3\sqrt[3]{x}
integral of (In(x+1))/(sqrt(x+1))	\int\:\frac{In(x+1)}{\sqrt{x+1}}dx
limit as h approaches 0 of ((8+h)-(8))/h	\lim\:_{h\to\:0}(\frac{(8+h)-(8)}{h})
integral of 1/(xsqrt(12+x^2))	\int\:\frac{1}{x\sqrt{12+x^{2}}}dx
integral of+(y+3)/((3-y)^{2/3)}	\int\:+\frac{y+3}{(3-y)^{\frac{2}{3}}}dy
(4+x)(dy)/(dx)=9y	(4+x)\frac{dy}{dx}=9y
integral of-7e^{-x}	\int\:-7e^{-x}dx
integral of 1/(sqrt(x^2+2x+50))	\int\:\frac{1}{\sqrt{x^{2}+2x+50}}dx
limit as x approaches 1+of (2+x)/(1-x)	\lim\:_{x\to\:1+}(\frac{2+x}{1-x})
limit as x approaches 3 of 2-1/x	\lim\:_{x\to\:3}(2-\frac{1}{x})
derivative of sin(1/5 x)	\frac{d}{dx}(\sin(\frac{1}{5}x))
limit as x approaches 2 of 2x+3	\lim\:_{x\to\:2}(2x+3)
expand tan(2(x+1))	expand\:\tan(2(x+1))
d/(dt)((1-e^{-2t})/t)	\frac{d}{dt}(\frac{1-e^{-2t}}{t})
sum from n=1 to infinity of 1/(2-e^n)	\sum\:_{n=1}^{\infty\:}\frac{1}{2-e^{n}}
y^'=(y-1)^2x^3	y^{\prime\:}=(y-1)^{2}x^{3}
integral of 2/(e^x)	\int\:\frac{2}{e^{x}}dx
integral from 0 to 3 of sqrt(1+x^4+2x^2)	\int\:_{0}^{3}\sqrt{1+x^{4}+2x^{2}}dx
(x+4)^'	(x+4)^{\prime\:}
integral of (e^x)/(sqrt(1+\sqrt{1+e^x))}	\int\:\frac{e^{x}}{\sqrt{1+\sqrt{1+e^{x}}}}dx
derivative of e^{-x}cos(x+e^{-x}sin(x))	\frac{d}{dx}(e^{-x}\cos(x)+e^{-x}\sin(x))
derivative of ln(3x+5)	derivative\:\ln(3x+5)
tangent of f(x)=x^2-4x,\at x=-2	tangent\:f(x)=x^{2}-4x,\at\:x=-2
derivative of (3x^2+2x(x^4-3x+1))	\frac{d}{dx}((3x^{2}+2x)(x^{4}-3x+1))
y^{'''}+y^'=sec(x)	y^{\prime\:\prime\:\prime\:}+y^{\prime\:}=\sec(x)
(\partial)/(\partial x)(x^{2y})	\frac{\partial\:}{\partial\:x}(x^{2y})
sec(x)(dy)/(dx)=e^y	\sec(x)\frac{dy}{dx}=e^{y}
integral of cos^3(x)(1+sqrt(sin(x)))	\int\:\cos^{3}(x)(1+\sqrt{\sin(x)})dx
implicit (dy)/(dx),ln(xy)+9x=40	implicit\:\frac{dy}{dx},\ln(xy)+9x=40
integral of (16y-9)/(3y-5y^2)	\int\:\frac{16y-9}{3y-5y^{2}}dy
integral of x^1cos(-9x)	\int\:x^{1}\cos(-9x)dx
limit as x approaches 3 of (\|x-2\|)/(x-2)	\lim\:_{x\to\:3}(\frac{\left\|x-2\right\|}{x-2})
derivative of y=(4x^7)/7	derivative\:y=\frac{4x^{7}}{7}
derivative of e^{3x-5}	\frac{d}{dx}(e^{3x-5})
integral of arcsin(sqrt(x))	\int\:\arcsin(\sqrt{x})dx
derivative of 3x-2	derivative\:3x-2
derivative of x^2+4x-1	derivative\:x^{2}+4x-1
integral of (2x^2+3x-2)(4x+3)	\int\:(2x^{2}+3x-2)(4x+3)dx
integral from 1 to 2 of 12x^23^{x^3}	\int\:_{1}^{2}12x^{2}3^{x^{3}}dx
integral of ((a+bx^2))/(sqrt(3ax+bx^3))	\int\:\frac{(a+bx^{2})}{\sqrt{3ax+bx^{3}}}dx
integral from-1 to 0 of sqrt(y+1)	\int\:_{-1}^{0}\sqrt{y+1}dy
y^'=2t,y(0)=0	y^{\prime\:}=2t,y(0)=0
integral of 1/486 (81-x^2)	\int\:\frac{1}{486}(81-x^{2})dx
sum from n=1 to infinity of 1/(n^2+4)	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{2}+4}
(\partial)/(\partial x)(((3x-2y))/(x^2+3y))	\frac{\partial\:}{\partial\:x}(\frac{(3x-2y)}{x^{2}+3y})
integral of tan^6(ax)	\int\:\tan^{6}(ax)dx
derivative of (2x+1/(3x-4))	\frac{d}{dx}(\frac{2x+1}{3x-4})
derivative of sqrt(2-10x)	\frac{d}{dx}(\sqrt{2-10x})
integral of cos(mx)	\int\:\cos(mx)dx
limit as n approaches infinity of 2n+1	\lim\:_{n\to\:\infty\:}(2n+1)
integral of cosh(8x)	\int\:\cosh(8x)dx
2y^{''}+y^'=0	2y^{\prime\:\prime\:}+y^{\prime\:}=0
integral from 0 to pi/4 of sec(θ)	\int\:_{0}^{\frac{π}{4}}\sec(θ)dθ
derivative of f(x)=6xln(3x^2-10)	derivative\:f(x)=6x\ln(3x^{2}-10)
integral of 2/(sqrt(36+x^2))	\int\:\frac{2}{\sqrt{36+x^{2}}}dx
derivative of sin(x(-2x))	\frac{d}{dx}(\sin(x)(-2x))
limit as x approaches 4 of 1	\lim\:_{x\to\:4}(1)
derivative of (x^{6/7}/5)	\frac{d}{dx}(\frac{x^{\frac{6}{7}}}{5})
derivative of 1/(x^2+3x-1)	derivative\:\frac{1}{x^{2}+3x-1}
integral of 1/((x-1)^2+4)	\int\:\frac{1}{(x-1)^{2}+4}dx
integral from 0 to pi of t*sin(3t)	\int\:_{0}^{π}t\cdot\:\sin(3t)dt
derivative of e^xsin(y)	\frac{d}{dx}(e^{x}\sin(y))
limit as x approaches-1 of x^2-1	\lim\:_{x\to\:-1}(x^{2}-1)
sum from n=0 to infinity of 2/(5^{n-1)}	\sum\:_{n=0}^{\infty\:}\frac{2}{5^{n-1}}
tangent of y=sin(sin(x)),(3pi,0)	tangent\:y=\sin(\sin(x)),(3π,0)
(-x)^'	(-x)^{\prime\:}
derivative of (4/5 x^3)	\frac{d}{dx}((\frac{4}{5}x)^{3})
(\partial)/(\partial y)(x^2cos(4y))	\frac{\partial\:}{\partial\:y}(x^{2}\cos(4y))
derivative of (x^2)/7	derivative\:\frac{x^{2}}{7}
f(x)=ln(x-1/x)	f(x)=\ln(x-\frac{1}{x})
(\partial)/(\partial y)(tan(3x-4y))	\frac{\partial\:}{\partial\:y}(\tan(3x-4y))
integral of (x-1)^n	\int\:(x-1)^{n}dx
integral of 1/(-x^2+1)	\int\:\frac{1}{-x^{2}+1}dx
derivative of 9xln(x)	\frac{d}{dx}(9x\ln(x))
derivative of 2^{-x}	derivative\:2^{-x}
limit as x approaches 400-of x	\lim\:_{x\to\:400-}(x)
integral of (x^5)/(sqrt(4+x^2))	\int\:\frac{x^{5}}{\sqrt{4+x^{2}}}dx
(d^2)/(dx^2)(sin(2x))	\frac{d^{2}}{dx^{2}}(\sin(2x))
derivative of 3x^2y^2+1	\frac{d}{dx}(3x^{2}y^{2}+1)
integral of e^{0.05x}	\int\:e^{0.05x}dx
sum from n=1 to infinity of 11^nx^nn!	\sum\:_{n=1}^{\infty\:}11^{n}x^{n}n!
taylor 1/(1+x^3)	taylor\:\frac{1}{1+x^{3}}
derivative of ((11ln(x)))/((2x+4))	derivative\:\frac{(11\ln(x))}{(2x+4)}
(dy}{dx}=\frac{-x)/y	\frac{dy}{dx}=\frac{-x}{y}
f(x)=3^xln(3)	f(x)=3^{x}\ln(3)
(\partial)/(\partial x)(a(mx)^b(my)^{1-b})	\frac{\partial\:}{\partial\:x}(a(mx)^{b}(my)^{1-b})
(d^2x)/(dt^2)-4(dx)/(dt)+4x=2t	\frac{d^{2}x}{dt^{2}}-4\frac{dx}{dt}+4x=2t
integral of (3x+2)^3	\int\:(3x+2)^{3}dx
derivative of x^{2/3}(1-x)	derivative\:x^{\frac{2}{3}}(1-x)
derivative of sqrt(x)+\sqrt[4]{x}	derivative\:\sqrt{x}+\sqrt[4]{x}
integral of sqrt((x+1)/(x-1))	\int\:\sqrt{\frac{x+1}{x-1}}dx
derivative of tan(X)	derivative\:\tan(X)
(\partial)/(\partial x)((x-4)^2)	\frac{\partial\:}{\partial\:x}((x-4)^{2})
(\partial)/(\partial x)(x/z)	\frac{\partial\:}{\partial\:x}(\frac{x}{z})
(\partial)/(\partial z)(7x^{y/z})	\frac{\partial\:}{\partial\:z}(7x^{\frac{y}{z}})
integral of (4x^2+1/((2x)^2))	\int\:(4x^{2}+\frac{1}{(2x)^{2}})dx
integral of cos(1/x)	\int\:\cos(\frac{1}{x})dx
(dy)/(dt)-3/t y=2t^3e^{2t},y(1)=0	\frac{dy}{dt}-\frac{3}{t}y=2t^{3}e^{2t},y(1)=0
integral of 24x	\int\:24xdx
(dy)/(dt)=-ksqrt(y)	\frac{dy}{dt}=-k\sqrt{y}

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