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Popular Calculus Problems

integral of e^{2-3x}	\int\:e^{2-3x}dx
integral of 1/(sqrt(49x^2-81))	\int\:\frac{1}{\sqrt{49x^{2}-81}}dx
limit as x approaches (0)+of 3x^{(x/2)}	\lim\:_{x\to\:(0)+}(3x^{(\frac{x}{2})})
derivative of (5x^2+3(4x-3))	\frac{d}{dx}((5x^{2}+3)(4x-3))
derivative of 14xe^x	\frac{d}{dx}(14xe^{x})
(\partial)/(\partial x)(4ln(x+z))	\frac{\partial\:}{\partial\:x}(4\ln(x+z))
integral of (x+5)(x-3)	\int\:(x+5)(x-3)dx
derivative of 2e^{cos(x})	\frac{d}{dx}(2e^{\cos(x)})
integral of x^6(x+4)	\int\:x^{6}(x+4)dx
sum from n=1 to infinity of n/(n+2)	\sum\:_{n=1}^{\infty\:}\frac{n}{n+2}
y^{''}+12y^'+85y=0	y^{\prime\:\prime\:}+12y^{\prime\:}+85y=0
integral of 2e^{-5x}	\int\:2e^{-5x}dx
derivative of-2x^{2/3}-4	derivative\:-2x^{\frac{2}{3}}-4
integral of (5x^2)/(x+7)	\int\:\frac{5x^{2}}{x+7}dx
limit as x approaches 3-of 7/(x-3)	\lim\:_{x\to\:3-}(\frac{7}{x-3})
limit as x approaches 0 of log_{e}(x^2)	\lim\:_{x\to\:0}(\log_{e}(x^{2}))
limit as x approaches 1 of sqrt(x-1)+4	\lim\:_{x\to\:1}(\sqrt{x-1}+4)
laplacetransform t*cos(3t)	laplacetransform\:t\cdot\:\cos(3t)
derivative of x^5e^{4x}	\frac{d}{dx}(x^{5}e^{4x})
derivative of 9000e^{0.08x}(-0.08)	derivative\:9000e^{0.08x}(-0.08)
derivative of (5x-1^3(x^2+1)^5)	\frac{d}{dx}((5x-1)^{3}(x^{2}+1)^{5})
tangent of f(x)=8-2x^2,\at x=0	tangent\:f(x)=8-2x^{2},\at\:x=0
integral of xsqrt(2x+5)	\int\:x\sqrt{2x+5}dx
slope of f(x)=25x^{4/5}	slope\:f(x)=25x^{\frac{4}{5}}
integral of tan^2(x)+tan^4(x)	\int\:\tan^{2}(x)+\tan^{4}(x)dx
sum from n=1 to infinity of (-5)^nx^n	\sum\:_{n=1}^{\infty\:}(-5)^{n}x^{n}
d/(dt)((\sqrt[3]{t})/(t-9))	\frac{d}{dt}(\frac{\sqrt[3]{t}}{t-9})
derivative of arcsin(x^2)	derivative\:\arcsin(x^{2})
derivative of cos(x/2 1/2)	\frac{d}{dx}(\cos(\frac{x}{2})\frac{1}{2})
derivative of 4e^x+4/(\sqrt[3]{x})	\frac{d}{dx}(4e^{x}+\frac{4}{\sqrt[3]{x}})
maclaurin (x^2)/((4+x^2)^2)	maclaurin\:\frac{x^{2}}{(4+x^{2})^{2}}
integral of e^x-1	\int\:e^{x}-1dx
integral of-36x	\int\:-36xdx
integral of sqrt(x(x+1/x))	\int\:\sqrt{x(x+\frac{1}{x})}dx
tangent of f(x)=41x-16x^2,\at x=1	tangent\:f(x)=41x-16x^{2},\at\:x=1
integral of 1/(1+sin(x)cos(x))	\int\:\frac{1}{1+\sin(x)\cos(x)}dx
maclaurin (1+x)^{-6/5}	maclaurin\:(1+x)^{-\frac{6}{5}}
integral of tsin(pit)	\int\:t\sin(πt)dt
tangent of y=(1-3x)^{10},(0,1)	tangent\:y=(1-3x)^{10},(0,1)
integral of e^{5-x}	\int\:e^{5-x}dx
integral of 10xsqrt(5x^2-1)	\int\:10x\sqrt{5x^{2}-1}dx
integral from 0 to 1 of (2x-1)^6	\int\:_{0}^{1}(2x-1)^{6}dx
integral of 1/((5x-2)^{3/2)}	\int\:\frac{1}{(5x-2)^{\frac{3}{2}}}dx
limit as x approaches 2 of sin(x-2)+1	\lim\:_{x\to\:2}(\sin(x-2)+1)
(y^2-xy)dx+x^2dy=0	(y^{2}-xy)dx+x^{2}dy=0
derivative of (x-1^2(x-2)^3)	\frac{d}{dx}((x-1)^{2}(x-2)^{3})
derivative of (5sqrt(x)+2)(1/x+3x^5)	derivative\:(5\sqrt{x}+2)(\frac{1}{x}+3x^{5})
integral from 0 to 1 of (80)/(x^2-100)	\int\:_{0}^{1}\frac{80}{x^{2}-100}dx
sum from n=0 to infinity of n/(n^2)	\sum\:_{n=0}^{\infty\:}\frac{n}{n^{2}}
f(x)=(2e^{x-1}+(2x-1))/(2x-1)	f(x)=\frac{2e^{x-1}+(2x-1)}{2x-1}
derivative of 1/(g(x^2))	derivative\:\frac{1}{g(x^{2})}
integral of sin^3(θ)cos^2(θ)	\int\:\sin^{3}(θ)\cos^{2}(θ)dθ
integral of 6e^{4x}cos(8x)	\int\:6e^{4x}\cos(8x)dx
slope of y= 1/(x-2),\at x=6	slope\:y=\frac{1}{x-2},\at\:x=6
derivative of (4/5 x^5)	\frac{d}{dx}((\frac{4}{5}x)^{5})
integral of x/((x^4+2))	\int\:\frac{x}{(x^{4}+2)}dx
ty^'+2y=sin(t),y(pi/2)=7	ty^{\prime\:}+2y=\sin(t),y(\frac{π}{2})=7
area x^2-41,7-2x	area\:x^{2}-41,7-2x
integral of sin(θ)sin(3θ)sin(5θ)	\int\:\sin(θ)\sin(3θ)\sin(5θ)dθ
tangent of sqrt(x),\at x=100	tangent\:\sqrt{x},\at\:x=100
derivative of 2t^2	derivative\:2t^{2}
derivative of arctan(9/x)	\frac{d}{dx}(\arctan(\frac{9}{x}))
tangent of f(x)=sqrt(5x+6),(6,6)	tangent\:f(x)=\sqrt{5x+6},(6,6)
integral of (tan(3x)+cot(3x))^2	\int\:(\tan(3x)+\cot(3x))^{2}dx
sum from n=0 to infinity of (5^n)/(3^n)	\sum\:_{n=0}^{\infty\:}\frac{5^{n}}{3^{n}}
inverse oflaplace s/(s-1)	inverselaplace\:\frac{s}{s-1}
integral of (1-8x)(ln(x)+1)	\int\:(1-8x)(\ln(x)+1)dx
tangent of 6x^2+xy+6y^2=13,(1,1)	tangent\:6x^{2}+xy+6y^{2}=13,(1,1)
derivative of (6\sqrt[3]{x})/(x^2-4)	derivative\:\frac{6\sqrt[3]{x}}{x^{2}-4}
y^{''}+9y=5csc^2(3t)	y^{\prime\:\prime\:}+9y=5\csc^{2}(3t)
derivative of \sqrt[3]{ln(x)}	derivative\:\sqrt[3]{\ln(x)}
limit as x approaches 0 of 1/(2+3^{1/x)}	\lim\:_{x\to\:0}(\frac{1}{2+3^{\frac{1}{x}}})
sum from n=1 to infinity of 1/((n+1))	\sum\:_{n=1}^{\infty\:}\frac{1}{(n+1)}
sum from n=0 to infinity of (-1/2)^n	\sum\:_{n=0}^{\infty\:}(-\frac{1}{2})^{n}
(\partial)/(\partial y)(2xy^3)	\frac{\partial\:}{\partial\:y}(2xy^{3})
y^{''}-8y^'+16y=2te^{4t}	y^{\prime\:\prime\:}-8y^{\prime\:}+16y=2te^{4t}
taylor e^{-x/2},3	taylor\:e^{-\frac{x}{2}},3
sum from k=1 to infinity of (x^k)/(k!)	\sum\:_{k=1}^{\infty\:}\frac{x^{k}}{k!}
derivative of (-3x^6-x^5+3x^4/(x^2))	\frac{d}{dx}(\frac{-3x^{6}-x^{5}+3x^{4}}{x^{2}})
xy^'+y=y^2	xy^{\prime\:}+y=y^{2}
derivative of 2+sqrt(x)	\frac{d}{dx}(2+\sqrt{x})
integral of x/(sqrt(-x^2+4))	\int\:\frac{x}{\sqrt{-x^{2}+4}}dx
derivative of \sqrt[7]{x^8}	\frac{d}{dx}(\sqrt[7]{x^{8}})
integral of ((x^3)ln(2x))	\int\:((x^{3})\ln(2x))dx
10(dy)/(dx)+20y=12	10\frac{dy}{dx}+20y=12
derivative of (x^3/9)	\frac{d}{dx}(\frac{x^{3}}{9})
integral from 2 to 6 of x/(x-2)	\int\:_{2}^{6}\frac{x}{x-2}dx
tangent of x^4+8x^2-x	tangent\:x^{4}+8x^{2}-x
f^'(x)=x^3+6x^2	f^{\prime\:}(x)=x^{3}+6x^{2}
(dy)/(dx)=y^2x,y(0)=6	\frac{dy}{dx}=y^{2}x,y(0)=6
area y=8ln(x),y=xln(x)	area\:y=8\ln(x),y=x\ln(x)
derivative of (2/pi)sin(pit),t	derivative\:(\frac{2}{π})\sin(πt),t
derivative of (sin^2(x)^2)	\frac{d}{dx}((\sin^{2}(x))^{2})
integral of sin(6x)cos(2x)	\int\:\sin(6x)\cos(2x)dx
integral of cos^4(7-x)sin(7-x)	\int\:\cos^{4}(7-x)\sin(7-x)dx
(dy)/(dx)=e^{3y}sin(4x)	\frac{dy}{dx}=e^{3y}\sin(4x)
sum from n=0 to infinity of 1/(n^2+2n)	\sum\:_{n=0}^{\infty\:}\frac{1}{n^{2}+2n}
integral of (5000x)/(25x+1500)	\int\:\frac{5000x}{25x+1500}dx
limit as x approaches 0 of 1/(4x)	\lim\:_{x\to\:0}(\frac{1}{4x})
derivative of cos(2x+5)	\frac{d}{dx}(\cos(2x+5))

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