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Popular Calculus Problems

integral of (2x^2+14x+8)/(x^3+9x)	\int\:\frac{2x^{2}+14x+8}{x^{3}+9x}dx
derivative of-85+50ln(x)	\frac{d}{dx}(-85+50\ln(x))
(\partial)/(\partial x)(y+1)	\frac{\partial\:}{\partial\:x}(y+1)
limit as x approaches pi of (sin(2x))/x	\lim\:_{x\to\:π}(\frac{\sin(2x)}{x})
derivative of y=e^{ln(x)}	derivative\:y=e^{\ln(x)}
derivative of log_{3}(x^{sqrt(x)})	\frac{d}{dx}(\log_{3}(x^{\sqrt{x}}))
integral of 20t^3	\int\:20t^{3}dt
limit as x approaches 28.3 of f(x)	\lim\:_{x\to\:28.3}(f(x))
inverse oflaplace 8/(3s^2+12)	inverselaplace\:\frac{8}{3s^{2}+12}
integral of tan^3(6x)sec^{10}(6x)	\int\:\tan^{3}(6x)\sec^{10}(6x)dx
(d^2)/(dx^2)(x(2x+3)^5)	\frac{d^{2}}{dx^{2}}(x(2x+3)^{5})
derivative of f(x)=(3x^2+1)/(2x)	derivative\:f(x)=\frac{3x^{2}+1}{2x}
limit as h approaches 0 of sqrt(3-4h)	\lim\:_{h\to\:0}(\sqrt{3-4h})
derivative of-600x^{-2}	\frac{d}{dx}(-600x^{-2})
area x,sqrt(x),0,2	area\:x,\sqrt{x},0,2
integral of 1/(5x+1)	\int\:\frac{1}{5x+1}dx
integral of sqrt(e^{2x)-1}	\int\:\sqrt{e^{2x}-1}dx
derivative of (cot(x)/(e^x))	\frac{d}{dx}(\frac{\cot(x)}{e^{x}})
(\partial)/(\partial x)(xy^2+xy-x^2)	\frac{\partial\:}{\partial\:x}(xy^{2}+xy-x^{2})
derivative of 2e^{sqrt(x)}	derivative\:2e^{\sqrt{x}}
integral of x+xln(x)	\int\:x+x\ln(x)dx
integral of tsin^2(t)	\int\:t\sin^{2}(t)dt
limit as x approaches-6 of 11x	\lim\:_{x\to\:-6}(11x)
derivative of 5e^xsqrt(x)	derivative\:5e^{x}\sqrt{x}
y^{'''}-6y^{''}=0	y^{\prime\:\prime\:\prime\:}-6y^{\prime\:\prime\:}=0
(\partial)/(\partial y)(x^3e^{xy})	\frac{\partial\:}{\partial\:y}(x^{3}e^{xy})
limit as x approaches 0 of 3x^2-5	\lim\:_{x\to\:0}(3x^{2}-5)
derivative of 2/(e^x)	\frac{d}{dx}(\frac{2}{e^{x}})
(dy)/(dt)=sin(t)-y	\frac{dy}{dt}=\sin(t)-y
integral of (-1)/(1+e^x)	\int\:\frac{-1}{1+e^{x}}dx
limit as x approaches-5 of 2(-3/10)(x)-3	\lim\:_{x\to\:-5}(2(-\frac{3}{10})(x)-3)
(\partial)/(\partial y)(cos(x+y+z))	\frac{\partial\:}{\partial\:y}(\cos(x+y+z))
limit as x approaches infinity of x/6	\lim\:_{x\to\:\infty\:}(\frac{x}{6})
limit as x approaches 1 of ln(1-x)	\lim\:_{x\to\:1}(\ln(1-x))
sum from n=1 to infinity of 1/(2^n*n!)	\sum\:_{n=1}^{\infty\:}\frac{1}{2^{n}\cdot\:n!}
derivative of (e^{2x}/(1+e^{2x)})	\frac{d}{dx}(\frac{e^{2x}}{1+e^{2x}})
implicit 5x^2-y^2=3	implicit\:5x^{2}-y^{2}=3
integral of 1/(x^2-3x)	\int\:\frac{1}{x^{2}-3x}dx
derivative of x^2-2/(x^3)	derivative\:x^{2}-\frac{2}{x^{3}}
area (x^3)/3-11x,5x	area\:\frac{x^{3}}{3}-11x,5x
derivative of (2x+4^2)	\frac{d}{dx}((2x+4)^{2})
integral of (3x^2-2x-9)/(x^3-x^2-9x+9)	\int\:\frac{3x^{2}-2x-9}{x^{3}-x^{2}-9x+9}dx
integral of x/((x^2+y^2+z^2)^{3/2)}	\int\:\frac{x}{(x^{2}+y^{2}+z^{2})^{\frac{3}{2}}}dx
slope of (-8.8)(-4.3)	slope\:(-8.8)(-4.3)
integral of e^{5x}sin(x)	\int\:e^{5x}\sin(x)dx
xy^'=y+2x^2sin(x)	xy^{\prime\:}=y+2x^{2}\sin(x)
derivative of {g}(x)	\frac{d}{dx}({g}(x))
integral from 1 to 2 of x^3(x^2-4)	\int\:_{1}^{2}x^{3}(x^{2}-4)dx
inverse oflaplace (10)/(s(s+50))	inverselaplace\:\frac{10}{s(s+50)}
area y=2sqrt(x),y=x	area\:y=2\sqrt{x},y=x
(\partial)/(\partial x)(sin(4x^2))	\frac{\partial\:}{\partial\:x}(\sin(4x^{2}))
integral of-3xe^x	\int\:-3xe^{x}dx
integral of 3/x+x	\int\:\frac{3}{x}+xdx
integral from 0 to 27 of 5/(x^{2/3)}	\int\:_{0}^{27}\frac{5}{x^{\frac{2}{3}}}dx
y^'=3x+y,y(0)=2	y^{\prime\:}=3x+y,y(0)=2
integral of sqrt(x^2+5)	\int\:\sqrt{x^{2}+5}dx
limit as r approaches 0 of sin^2(r)	\lim\:_{r\to\:0}(\sin^{2}(r))
derivative of (2-3x^3)^{-2}	derivative\:(2-3x^{3})^{-2}
inverse oflaplace (e^{-5s})/((s-2)^4)	inverselaplace\:\frac{e^{-5s}}{(s-2)^{4}}
integral of x^2+3x+1	\int\:x^{2}+3x+1dx
integral of 2sqrt(y)	\int\:2\sqrt{y}dy
integral of xsin^2(7x)	\int\:x\sin^{2}(7x)dx
tangent of f(x)= 2/x ,(3, 2/3)	tangent\:f(x)=\frac{2}{x},(3,\frac{2}{3})
derivative of f(x)=(x+6)/(x-4)	derivative\:f(x)=\frac{x+6}{x-4}
taylor 1+x	taylor\:1+x
derivative of y=(4x-1)^2	derivative\:y=(4x-1)^{2}
derivative of (3x+4(-3+2x))	\frac{d}{dx}((3x+4)(-3+2x))
integral of (3x+8)^{2/3}	\int\:(3x+8)^{\frac{2}{3}}dx
derivative of 2/((x-1^2))	\frac{d}{dx}(\frac{2}{(x-1)^{2}})
integral of (1-sin(x))/(1+sin(x))	\int\:\frac{1-\sin(x)}{1+\sin(x)}dx
(dr)/(dθ)+rtan(θ)=5tan(θ)	\frac{dr}{dθ}+r\tan(θ)=5\tan(θ)
y^{''''}+y^{''}-6y=0	y^{\prime\:\prime\:\prime\:\prime\:}+y^{\prime\:\prime\:}-6y=0
maclaurin f(x)=sin(2x)	maclaurin\:f(x)=\sin(2x)
integral of t^3sin(nt)	\int\:t^{3}\sin(nt)dt
integral of-2/(x^2-1)	\int\:-\frac{2}{x^{2}-1}dx
limit as x approaches 5 of ((x-5))/(x-5)	\lim\:_{x\to\:5}(\frac{(x-5)}{x-5})
integral of 18x^2(2x^3+3)^5	\int\:18x^{2}(2x^{3}+3)^{5}dx
limit as x approaches 7 of 7-7	\lim\:_{x\to\:7}(7-7)
4(dy)/(dx)+7/(xy^3)=0,y(1)=2	4\frac{dy}{dx}+\frac{7}{xy^{3}}=0,y(1)=2
(\partial)/(\partial x)((3x+2xy)/(7x+6y))	\frac{\partial\:}{\partial\:x}(\frac{3x+2xy}{7x+6y})
sum from n=1 to infinity of (-2/5)^n	\sum\:_{n=1}^{\infty\:}(-\frac{2}{5})^{n}
inverse oflaplace 1/((s+1)(s^2+1))	inverselaplace\:\frac{1}{(s+1)(s^{2}+1)}
derivative of arccoth(x)	\frac{d}{dx}(\arccoth(x))
derivative of ln(arctan(5x^4))	\frac{d}{dx}(\ln(\arctan(5x^{4})))
derivative of log_{x}(y)	\frac{d}{dx}(\log_{x}(y))
integral of 6x^2-4x+8	\int\:6x^{2}-4x+8dx
(dy)/(dx)=(3+y)^2	\frac{dy}{dx}=(3+y)^{2}
limit as t approaches infinity of 800-800t^{-1}	\lim\:_{t\to\:\infty\:}(800-800t^{-1})
derivative of g(x)= 1/(x+1)	derivative\:g(x)=\frac{1}{x+1}
integral from 0 to pi/2 of 2sin(2x)	\int\:_{0}^{\frac{π}{2}}2\sin(2x)dx
integral of 7x^7(x^8+4)^6	\int\:7x^{7}(x^{8}+4)^{6}dx
derivative of f(x)=7xsin(pix)	derivative\:f(x)=7x\sin(πx)
integral from 0 to 2 of (x^4-2x^3)	\int\:_{0}^{2}(x^{4}-2x^{3})dx
integral of cos^5(3x)sin(3x)	\int\:\cos^{5}(3x)\sin(3x)dx
(\partial)/(\partial x)((4x)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{4x}{x^{2}+y^{2}})
limit as x approaches-7 of 2x+5	\lim\:_{x\to\:-7}(2x+5)
(\partial)/(\partial x)(ln(2x^3+3y^2))	\frac{\partial\:}{\partial\:x}(\ln(2x^{3}+3y^{2}))
derivative of 5/((2x-3)^4)	derivative\:\frac{5}{(2x-3)^{4}}
derivative of (1-x)/(1+x)	derivative\:\frac{1-x}{1+x}
integral of 2x*sin(x)	\int\:2x\cdot\:\sin(x)dx

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