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Popular Calculus Problems

limit as t approaches 1-of (2t)/(t^2-1)	\lim\:_{t\to\:1-}(\frac{2t}{t^{2}-1})
y^{''}-2y+4y=0	y^{\prime\:\prime\:}-2y+4y=0
integral of 11x^{10}-(10)/(x^{10)}	\int\:11x^{10}-\frac{10}{x^{10}}dx
integral of 1/(sqrt(9-4x^2))	\int\:\frac{1}{\sqrt{9-4x^{2}}}dx
derivative of cos(2x)*ln(3x-5)	derivative\:\cos(2x)\cdot\:\ln(3x-5)
derivative of (x^2)/(4+x)	derivative\:\frac{x^{2}}{4+x}
(\partial)/(\partial x)(6e^{x^5y^4})	\frac{\partial\:}{\partial\:x}(6e^{x^{5}y^{4}})
limit as x approaches 0 of x/(tan(7x))	\lim\:_{x\to\:0}(\frac{x}{\tan(7x)})
(\partial)/(\partial x)(e^{-xyz})	\frac{\partial\:}{\partial\:x}(e^{-xyz})
(\partial)/(\partial x)(ln(x+3))	\frac{\partial\:}{\partial\:x}(\ln(x+3))
3(1+x)(dy)/(dx)=2xy(y^3+1)	3(1+x)\frac{dy}{dx}=2xy(y^{3}+1)
derivative of f(x)= 8/(sqrt(x))-4/x	derivative\:f(x)=\frac{8}{\sqrt{x}}-\frac{4}{x}
integral of cos^3(x/6)	\int\:\cos^{3}(\frac{x}{6})dx
y^{''}+7y^'+6y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+7y^{\prime\:}+6y=0,y(0)=1,y^{\prime\:}(0)=0
integral of (9/x-2/(x^3))	\int\:(\frac{9}{x}-\frac{2}{x^{3}})dx
derivative of xe^{y^2}	\frac{d}{dx}(xe^{y^{2}})
derivative of (-x^2/2)	\frac{d}{dx}(\frac{-x^{2}}{2})
limit as x approaches c/(2^+) of [2x-4]	\lim\:_{x\to\:\frac{c}{2^{+}}}([2x-4])
y^{''}+y=3	y^{\prime\:\prime\:}+y=3
integral of (sin(t))	\int\:(\sin(t))dt
derivative of-2x^3	derivative\:-2x^{3}
derivative of sqrt(2x+8)	derivative\:\sqrt{2x+8}
slope of (0.1)(3.7)	slope\:(0.1)(3.7)
integral of 7cos^2(x)tan^3(x)	\int\:7\cos^{2}(x)\tan^{3}(x)dx
integral from 0 to 2 of x-2	\int\:_{0}^{2}x-2dx
limit as x approaches 0 of 1/x cos(1/x)	\lim\:_{x\to\:0}(\frac{1}{x}\cos(\frac{1}{x}))
derivative of 5/(1+5x)	\frac{d}{dx}(\frac{5}{1+5x})
limit as n approaches infinity of 3+1/n	\lim\:_{n\to\:\infty\:}(3+\frac{1}{n})
integral of 2cos^4(x)	\int\:2\cos^{4}(x)dx
integral of sqrt(9-4x-4x^2)	\int\:\sqrt{9-4x-4x^{2}}dx
integral from 0 to 2 of 7e^{-3x}	\int\:_{0}^{2}7e^{-3x}dx
derivative of cos^2(5x)	\frac{d}{dx}(\cos^{2}(5x))
integral of (4cos(x)+3x^3+2sin(x))	\int\:(4\cos(x)+3x^{3}+2\sin(x))dx
(dy)/(dx)y^3=5x^3+2x	\frac{dy}{dx}y^{3}=5x^{3}+2x
(\partial)/(\partial x)(sqrt(9+x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{9+x^{2}})
tangent of f(x)=4x^2,\at x=10	tangent\:f(x)=4x^{2},\at\:x=10
derivative of 1500x+3000(2x+3^{-1}-1000)	\frac{d}{dx}(1500x+3000(2x+3)^{-1}-1000)
derivative of ysin(x)	\frac{d}{dx}(y\sin(x))
integral of (x^8-5x)/(x^6)	\int\:\frac{x^{8}-5x}{x^{6}}dx
integral of 7cos^4(x)	\int\:7\cos^{4}(x)dx
(dy)/(dt)+e^ty=20e^t	\frac{dy}{dt}+e^{t}y=20e^{t}
(\partial)/(\partial z)(3xz)	\frac{\partial\:}{\partial\:z}(3xz)
inverse oflaplace 1/(s(s^2+3s+2))	inverselaplace\:\frac{1}{s(s^{2}+3s+2)}
(\partial)/(\partial x)(xye^{4x-2z})	\frac{\partial\:}{\partial\:x}(xye^{4x-2z})
(dy)/(dx)+9y=e^{8x}	\frac{dy}{dx}+9y=e^{8x}
derivative of x^2	derivative\:x^{2}
area-x,x^2-12	area\:-x,x^{2}-12
sum from n=0 to infinity of 1/(13n+42)	\sum\:_{n=0}^{\infty\:}\frac{1}{13n+42}
derivative of (cos^2(x)/x)	\frac{d}{dx}(\frac{\cos^{2}(x)}{x})
integral of ((5-x)/x)^2	\int\:(\frac{5-x}{x})^{2}dx
integral of sqrt(x)(1-sqrt(x))	\int\:\sqrt{x}(1-\sqrt{x})dx
derivative of ln(ln(14x))	\frac{d}{dx}(\ln(\ln(14x)))
(\partial)/(\partial x)(sqrt(\|xy\|))	\frac{\partial\:}{\partial\:x}(\sqrt{\left\|xy\right\|})
(dy)/(dx)+y/x =x^2	\frac{dy}{dx}+\frac{y}{x}=x^{2}
derivative of sqrt(t^2+9)	derivative\:\sqrt{t^{2}+9}
limit as x approaches 2 of e^x	\lim\:_{x\to\:2}(e^{x})
integral of 1/(6-36x^2)	\int\:\frac{1}{6-36x^{2}}dx
derivative of (2-sec(x))/(tan(x))	derivative\:\frac{2-\sec(x)}{\tan(x)}
integral of e^xsqrt(15+e^x)	\int\:e^{x}\sqrt{15+e^{x}}dx
derivative of 3/8 (x^{4/3}-2x^{2/3})	\frac{d}{dx}(\frac{3}{8}(x^{\frac{4}{3}}-2x^{\frac{2}{3}}))
derivative of-sin(5pix*5pi)	\frac{d}{dx}(-\sin(5πx)\cdot\:5π)
derivative of (x^3+2^2(x^4+4)^4)	\frac{d}{dx}((x^{3}+2)^{2}(x^{4}+4)^{4})
y^'(t)=0.3y*(1-y/(2500))-y/4 ,y(0)=600	y^{\prime\:}(t)=0.3y\cdot\:(1-\frac{y}{2500})-\frac{y}{4},y(0)=600
integral of (tan^3(x))/2	\int\:\frac{\tan^{3}(x)}{2}dx
(\partial)/(\partial x)(cos(-5x-6y))	\frac{\partial\:}{\partial\:x}(\cos(-5x-6y))
derivative of e^xx	derivative\:e^{x}x
integral of e^{7x}cos(9x)	\int\:e^{7x}\cos(9x)dx
laplacetransform t^2+t+1	laplacetransform\:t^{2}+t+1
limit as x approaches 0 of (cos(2x)-1)/x	\lim\:_{x\to\:0}(\frac{\cos(2x)-1}{x})
integral of (25)/x	\int\:\frac{25}{x}dx
integral of 16t+sec^2(t)	\int\:16t+\sec^{2}(t)dt
derivative of ((x^5+3x^4)/(cos(x)))	\frac{d}{dx}(\frac{(x^{5}+3x)^{4}}{\cos(x)})
9y(dy)/(dx)-4x=0	9y\frac{dy}{dx}-4x=0
derivative of 3/((8x+3^2))	\frac{d}{dx}(\frac{3}{(8x+3)^{2}})
d/(dn)(sin(n^3m))	\frac{d}{dn}(\sin(n^{3}m))
integral of 1/(sqrt(1-2x))	\int\:\frac{1}{\sqrt{1-2x}}dx
integral of (xe^x)	\int\:(xe^{x})dx
derivative of 6e^x+4/(\sqrt[3]{x)}	derivative\:6e^{x}+\frac{4}{\sqrt[3]{x}}
integral of csc(8x)cot(8x)	\int\:\csc(8x)\cot(8x)dx
derivative of ln(4x)	derivative\:\ln(4x)
derivative of e^{cos(x}sin(x))	\frac{d}{dx}(e^{\cos(x)}\sin(x))
integral from 0 to a of xsin^2((pix)/a)	\int\:_{0}^{a}x\sin^{2}(\frac{πx}{a})dx
integral from 1 to 9 of 9x^2	\int\:_{1}^{9}9x^{2}dx
derivative of y=(88t)/(99t-88)	derivative\:y=\frac{88t}{99t-88}
derivative of sqrt(x-y^2)	\frac{d}{dx}(\sqrt{x-y^{2}})
derivative of x^{2/3}(x-2)	\frac{d}{dx}(x^{\frac{2}{3}}(x-2))
y^'=(3x^2+y^2)/(xy)	y^{\prime\:}=\frac{3x^{2}+y^{2}}{xy}
derivative of ln(sec(2x)+tan(2x))	derivative\:\ln(\sec(2x)+\tan(2x))
slope ofintercept (-3,-9),(8,3)	slopeintercept\:(-3,-9),(8,3)
derivative of f(x)=3x^2e^x+e^x(x^3+9)	derivative\:f(x)=3x^{2}e^{x}+e^{x}(x^{3}+9)
sqrt(y)(dy)/(dx)= 4/5 sqrt(x)	\sqrt{y}\frac{dy}{dx}=\frac{4}{5}\sqrt{x}
tangent of f(x)=4sec(x),\at x=(7pi)/6	tangent\:f(x)=4\sec(x),\at\:x=\frac{7π}{6}
integral of (2x^2)/(sqrt((x-1)^2+4))	\int\:\frac{2x^{2}}{\sqrt{(x-1)^{2}+4}}dx
tangent of y=(x+2)(x-1)(x-3)	tangent\:y=(x+2)(x-1)(x-3)
integral of tsec^2(9t)	\int\:t\sec^{2}(9t)dt
derivative of-5x^2+10	\frac{d}{dx}(-5x^{2}+10)
derivative of 1/(x^n)	\frac{d}{dx}(\frac{1}{x^{n}})
derivative of y=(4x^2+4x+8)/(sqrt(x))	derivative\:y=\frac{4x^{2}+4x+8}{\sqrt{x}}
integral from 0 to 8 of x^2	\int\:_{0}^{8}x^{2}dx
(\partial)/(\partial x)(y-x^2-7z^2)	\frac{\partial\:}{\partial\:x}(y-x^{2}-7z^{2})

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