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Popular Calculus Problems

slope of (-3,9),(2,-1)	slope\:(-3,9),(2,-1)
integral of ln(x+sqrt(x^2+1))	\int\:\ln(x+\sqrt{x^{2}+1})dx
integral of (sqrt(121-x^2))/x	\int\:\frac{\sqrt{121-x^{2}}}{x}dx
derivative of 1/(x*sqrt(x))	\frac{d}{dx}(\frac{1}{x\cdot\:\sqrt{x}})
integral of 2t^3	\int\:2t^{3}dt
derivative of t/((t-2)^2)	derivative\:\frac{t}{(t-2)^{2}}
5y^{''}-4y^'=0	5y^{\prime\:\prime\:}-4y^{\prime\:}=0
integral of 2/(xsqrt(x^2+1))	\int\:\frac{2}{x\sqrt{x^{2}+1}}dx
inverse oflaplace (e^{-s})/(s*(s+5)^2)	inverselaplace\:\frac{e^{-s}}{s\cdot\:(s+5)^{2}}
derivative of (ln(3x)/(3x))	\frac{d}{dx}(\frac{\ln(3x)}{3x})
integral of (16)/((x+2)(x^2-4))	\int\:\frac{16}{(x+2)(x^{2}-4)}dx
integral of e^{6x}sin(6x)	\int\:e^{6x}\sin(6x)dx
(dy)/(dx)-y^2=0	\frac{dy}{dx}-y^{2}=0
derivative of ((x^2+3)/(x^2-3))^5	derivative\:(\frac{x^{2}+3}{x^{2}-3})^{5}
derivative of (x^4/(2-x^3))	\frac{d}{dx}(\frac{x^{4}}{2-x^{3}})
integral of 216sin(6x)\sqrt[3]{cos(6x)}	\int\:216\sin(6x)\sqrt[3]{\cos(6x)}dx
integral of pi/(12)sin((pix)/6)	\int\:\frac{π}{12}\sin(\frac{πx}{6})dx
derivative of csc(x(x+cot(x)))	\frac{d}{dx}(\csc(x)(x+\cot(x)))
derivative of 2sin(x^2)	derivative\:2\sin(x^{2})
tangent of f(x)=2x^3+3x^2-12x+7	tangent\:f(x)=2x^{3}+3x^{2}-12x+7
limit as x approaches infinity of-10e^{-2x}	\lim\:_{x\to\:\infty\:}(-10e^{-2x})
(dy)/(dt)= y/2	\frac{dy}{dt}=\frac{y}{2}
integral of 3x(x^2-4)^{1/2}	\int\:3x(x^{2}-4)^{\frac{1}{2}}dx
derivative of (e^x/(6x^2+1))	\frac{d}{dx}(\frac{e^{x}}{6x^{2}+1})
limit as x approaches-8 of \sqrt[3]{x}	\lim\:_{x\to\:-8}(\sqrt[3]{x})
derivative of 3000(1+(4x/(x^2+100)))	\frac{d}{dx}(3000(1+\frac{4x}{x^{2}+100}))
derivative of (e^{4x})/4+(e^{5x})/5	derivative\:\frac{e^{4x}}{4}+\frac{e^{5x}}{5}
derivative of f(x)=3x^2-2cos(x)	derivative\:f(x)=3x^{2}-2\cos(x)
(d^2)/(dx^2)(1)	\frac{d^{2}}{dx^{2}}(1)
2y^{''}+3y^'+4y=0	2y^{\prime\:\prime\:}+3y^{\prime\:}+4y=0
integral of sqrt(x)-x^4	\int\:\sqrt{x}-x^{4}dx
derivative of (5x-2/(2x+7))	\frac{d}{dx}(\frac{5x-2}{2x+7})
y^{''}-3y^'-28y=0	y^{\prime\:\prime\:}-3y^{\prime\:}-28y=0
limit as x approaches 0 of (e^{x^6}-1)/x	\lim\:_{x\to\:0}(\frac{e^{x^{6}}-1}{x})
integral of 4e^{-2x}	\int\:4e^{-2x}dx
derivative of (x^2+1(x^2-2x))	\frac{d}{dx}((x^{2}+1)(x^{2}-2x))
area (1/(10x^2)),(x),(x/(10))	area\:(\frac{1}{10x^{2}}),(x),(\frac{x}{10})
derivative of ln(5bx^3-3sqrt(x))	\frac{d}{dx}(\ln(5bx^{3}-3\sqrt{x}))
integral of sqrt(3+x)	\int\:\sqrt{3+x}dx
integral of 2/(4x^2-1)	\int\:\frac{2}{4x^{2}-1}dx
integral from 0 to 2 of 1/(x^2-x-2)	\int\:_{0}^{2}\frac{1}{x^{2}-x-2}dx
derivative of (x^3+5)e^x	derivative\:(x^{3}+5)e^{x}
derivative of iny(x)	\frac{d}{dx}(iny(x))
integral from 1 to 10 of 1/(x^2-4x-32)	\int\:_{1}^{10}\frac{1}{x^{2}-4x-32}dx
derivative of g(x)= 1/(5x^2+4x)	derivative\:g(x)=\frac{1}{5x^{2}+4x}
area (ln(x))/(3x),((ln(x))^2)/(3x)	area\:\frac{\ln(x)}{3x},\frac{(\ln(x))^{2}}{3x}
y^'-3/x y=(y^5)/(x^6)	y^{\prime\:}-\frac{3}{x}y=\frac{y^{5}}{x^{6}}
integral from 3 to infinity of e^{-x/2}	\int\:_{3}^{\infty\:}e^{-\frac{x}{2}}dx
integral of 1/((e^x+e^{-x))^2}	\int\:\frac{1}{(e^{x}+e^{-x})^{2}}dx
derivative of (arctan(4x)^2)	\frac{d}{dx}((\arctan(4x))^{2})
derivative of f(x)=4-x,x=-2,x=3,y=0	derivative\:f(x)=4-x,x=-2,x=3,y=0
derivative of (2x/(\sqrt[3]{x^2-9)})	\frac{d}{dx}(\frac{2x}{\sqrt[3]{x^{2}-9}})
(\partial)/(\partial x)(sqrt(s^2+t^2))	\frac{\partial\:}{\partial\:x}(\sqrt{s^{2}+t^{2}})
laplacetransform t^3e^{-2t}-3cos(5t)	laplacetransform\:t^{3}e^{-2t}-3\cos(5t)
integral of x^2-8	\int\:x^{2}-8dx
(\partial)/(\partial x)(-xy^2)	\frac{\partial\:}{\partial\:x}(-xy^{2})
integral of (15000(x-50))/(x^4)	\int\:\frac{15000(x-50)}{x^{4}}dx
integral of (5x^2-12x)e^{2x}	\int\:(5x^{2}-12x)e^{2x}dx
integral of (x-2)/(2x^4+x^3+3x^2)	\int\:\frac{x-2}{2x^{4}+x^{3}+3x^{2}}dx
integral of 1/(x^2+x+2)	\int\:\frac{1}{x^{2}+x+2}dx
derivative of x/(sqrt(x^2+3))	\frac{d}{dx}(\frac{x}{\sqrt{x^{2}+3}})
integral of e^{8θ}sin(9θ)	\int\:e^{8θ}\sin(9θ)dθ
integral of (2cos^5(x))/(sqrt(sin(x)))	\int\:\frac{2\cos^{5}(x)}{\sqrt{\sin(x)}}dx
derivative of sqrt(tan(2x))	\frac{d}{dx}(\sqrt{\tan(2x)})
derivative of (cot(x)/(sin(x)))	\frac{d}{dx}(\frac{\cot(x)}{\sin(x)})
derivative of x^3+x^2-x	\frac{d}{dx}(x^{3}+x^{2}-x)
limit as x approaches-2 of (-9)/(x^2)	\lim\:_{x\to\:-2}(\frac{-9}{x^{2}})
derivative of 8x+7	\frac{d}{dx}(8x+7)
tangent of f(x)=sqrt(x-1)	tangent\:f(x)=\sqrt{x-1}
derivative of 2cos^{12}(x)	\frac{d}{dx}(2\cos^{12}(x))
limit as x approaches infinity of (5)\sqrt[6666]{6}	\lim\:_{x\to\:\infty\:}((5)\sqrt[6666]{6})
limit as x approaches 0 of y^x	\lim\:_{x\to\:0}(y^{x})
limit as x approaches-1+of (x+1)/(x^3+1)	\lim\:_{x\to\:-1+}(\frac{x+1}{x^{3}+1})
y^{''}+6y^'+25y=100,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+6y^{\prime\:}+25y=100,y(0)=0,y^{\prime\:}(0)=0
(\partial)/(\partial x)(-e^xln(y))	\frac{\partial\:}{\partial\:x}(-e^{x}\ln(y))
inverse oflaplace e^{2s}	inverselaplace\:e^{2s}
derivative of ((x-1))/((x+1))	derivative\:\frac{(x-1)}{(x+1)}
limit as x approaches 4-of (7x-1)/(x-4)	\lim\:_{x\to\:4-}(\frac{7x-1}{x-4})
integral of (x^2+12x-9)/(x^3-9x)	\int\:\frac{x^{2}+12x-9}{x^{3}-9x}dx
y^{''}+13y^'+36y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+13y^{\prime\:}+36y=0,y(0)=1,y^{\prime\:}(0)=0
integral of-6sin^2(t)	\int\:-6\sin^{2}(t)dt
derivative of x^2(x-1)	\frac{d}{dx}(x^{2}(x-1))
limit as x approaches infinity of 1/1	\lim\:_{x\to\:\infty\:}(\frac{1}{1})
sum from n=0 to infinity of (n+1)/(2n-1)	\sum\:_{n=0}^{\infty\:}\frac{n+1}{2n-1}
derivative of f(x)=5x^4ln(x)	derivative\:f(x)=5x^{4}\ln(x)
integral of 1-t^{-0.52}	\int\:1-t^{-0.52}dt
inverse oflaplace (2s+1)/(s(2s+10))	inverselaplace\:\frac{2s+1}{s(2s+10)}
derivative of f(x)=3e^{2x^2+4x}	derivative\:f(x)=3e^{2x^{2}+4x}
tangent of sqrt(x-3)	tangent\:\sqrt{x-3}
integral of x^{22}e^{x^{23}}	\int\:x^{22}e^{x^{23}}dx
derivative of y=(3-x^2)(x^3-2x+1)	derivative\:y=(3-x^{2})(x^{3}-2x+1)
(dx}{dt}=\frac{1-x)/k	\frac{dx}{dt}=\frac{1-x}{k}
derivative of f(x)=sin(7ln(x))	derivative\:f(x)=\sin(7\ln(x))
xy^'=y+x^2sin(x),y(pi/2)=0	xy^{\prime\:}=y+x^{2}\sin(x),y(\frac{π}{2})=0
sum from n=0 to infinity of (x+3)^n	\sum\:_{n=0}^{\infty\:}(x+3)^{n}
integral from 0 to pi/2 of 6sin^2(3x)	\int\:_{0}^{\frac{π}{2}}6\sin^{2}(3x)dx
x*(dy)/(dx)-y=sqrt(x^2+y^2)	x\cdot\:\frac{dy}{dx}-y=\sqrt{x^{2}+y^{2}}
derivative of 64sin(4x)	\frac{d}{dx}(64\sin(4x))
d/(dt)((2t)/(2t^2+1))	\frac{d}{dt}(\frac{2t}{2t^{2}+1})
integral of (sin(x))/(sqrt(1+cos(x)))	\int\:\frac{\sin(x)}{\sqrt{1+\cos(x)}}dx

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