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Popular Calculus Problems

derivative of 1.1e^{0.78t}	derivative\:1.1e^{0.78t}
derivative of x^3(x-9^2)	\frac{d}{dx}(x^{3}(x-9)^{2})
laplacetransform {e^{,\at}}	laplacetransform\:\left\{e^{,\at\:}\right\}
integral of x^{23}sin(x^{24})	\int\:x^{23}\sin(x^{24})dx
derivative of 2ax^3-(x^2/b+c)	\frac{d}{dx}(2ax^{3}-\frac{x^{2}}{b}+c)
(\partial)/(\partial x)(2x^6y^5+3x^5y^6)	\frac{\partial\:}{\partial\:x}(2x^{6}y^{5}+3x^{5}y^{6})
integral of 7x^7e^{-x^4}	\int\:7x^{7}e^{-x^{4}}dx
(ln(5x))^'	(\ln(5x))^{\prime\:}
integral from 0 to 2 of x/(sqrt(1+2x^2))	\int\:_{0}^{2}\frac{x}{\sqrt{1+2x^{2}}}dx
derivative of (e^x/(4x^2))	\frac{d}{dx}(\frac{e^{x}}{4x^{2}})
(dy)/(dx)=(x-1)(1-y)	\frac{dy}{dx}=(x-1)(1-y)
y^{''}-8y^'+9y=0,y(0)=0,y^'(0)=9	y^{\prime\:\prime\:}-8y^{\prime\:}+9y=0,y(0)=0,y^{\prime\:}(0)=9
(\partial)/(\partial x)(x^{-3})	\frac{\partial\:}{\partial\:x}(x^{-3})
limit as x approaches-1 of 4x^2-8x+3	\lim\:_{x\to\:-1}(4x^{2}-8x+3)
integral of e^{-x}cos(3x)	\int\:e^{-x}\cos(3x)dx
7t*(dy)/(dt)-y=sqrt(t)	7t\cdot\:\frac{dy}{dt}-y=\sqrt{t}
limit as x approaches 4+of e^{4-x}	\lim\:_{x\to\:4+}(e^{4-x})
f(x)=arcsin(6x)	f(x)=\arcsin(6x)
derivative of 81-16x^2	\frac{d}{dx}(81-16x^{2})
integral from 0 to 1/(sqrt(2) of)2xarcsin(x^2)	\int\:_{0}^{\frac{1}{\sqrt{2}}}2x\arcsin(x^{2})dx
derivative of ln(x/(x+1))	\frac{d}{dx}(\ln(\frac{x}{x+1}))
integral of ((10)/x+x/(10))	\int\:(\frac{10}{x}+\frac{x}{10})dx
limit as x approaches infinity of x^29	\lim\:_{x\to\:\infty\:}(x^{2}9)
integral of (x^2)/((6-x^3)^5)	\int\:\frac{x^{2}}{(6-x^{3})^{5}}dx
derivative of y=ln(x/(x^2+1))	derivative\:y=\ln(\frac{x}{x^{2}+1})
derivative of 3^{2x-1}	\frac{d}{dx}(3^{2x-1})
integral of 1/((x^2-25)^2)	\int\:\frac{1}{(x^{2}-25)^{2}}dx
tangent of f(x)=x^2+5,\at x=5	tangent\:f(x)=x^{2}+5,\at\:x=5
limit as x approaches 3 of sqrt(2)	\lim\:_{x\to\:3}(\sqrt{2})
derivative of pi	\frac{d}{dx}(π)
sum from n=1 to infinity of n^{-1/9}	\sum\:_{n=1}^{\infty\:}n^{-\frac{1}{9}}
derivative of (x^2/((x-y)^2))	\frac{d}{dx}(\frac{x^{2}}{(x-y)^{2}})
limit as x approaches 9 of ((x+2))/2	\lim\:_{x\to\:9}(\frac{(x+2)}{2})
xydx+3e^xdy=0	xydx+3e^{x}dy=0
(\partial)/(\partial x)(2x^3y+2)	\frac{\partial\:}{\partial\:x}(2x^{3}y+2)
taylor 1/((1+4x))	taylor\:\frac{1}{(1+4x)}
(\partial)/(\partial x)(cos(y^2)+ye^x)	\frac{\partial\:}{\partial\:x}(\cos(y^{2})+ye^{x})
integral of 1/(x^2+6x+6)	\int\:\frac{1}{x^{2}+6x+6}dx
(dy)/(dx)+2xy=x^3	\frac{dy}{dx}+2xy=x^{3}
(\partial)/(\partial y)((-y)/(x^2+9y^2))	\frac{\partial\:}{\partial\:y}(\frac{-y}{x^{2}+9y^{2}})
integral from-2 to 3 of (40)/(x^4)	\int\:_{-2}^{3}\frac{40}{x^{4}}dx
derivative of y=sqrt(x+3)	derivative\:y=\sqrt{x+3}
inverse oflaplace 1/s-2/((s+3)^2-9)	inverselaplace\:\frac{1}{s}-\frac{2}{(s+3)^{2}-9}
integral of (2x^2-1)/(x^3-x)	\int\:\frac{2x^{2}-1}{x^{3}-x}dx
integral of 1/(x^4+y^2)	\int\:\frac{1}{x^{4}+y^{2}}dy
integral of 7e^{-3x}	\int\:7e^{-3x}dx
(\partial)/(\partial x)(arcsin(7xyz))	\frac{\partial\:}{\partial\:x}(\arcsin(7xyz))
limit as x approaches-5 of 3/(x-5)	\lim\:_{x\to\:-5}(\frac{3}{x-5})
(\partial)/(\partial x)(((xy))/((x+y)))	\frac{\partial\:}{\partial\:x}(\frac{(xy)}{(x+y)})
derivative of 9cos(9x)	\frac{d}{dx}(9\cos(9x))
f(x)=cos(x^{ln(x^2+1)})	f(x)=\cos(x^{\ln(x^{2}+1)})
sum from n=0 to infinity of (n!)/(3^n)	\sum\:_{n=0}^{\infty\:}\frac{n!}{3^{n}}
integral of 103t^2	\int\:103t^{2}dt
derivative of 9x+1/x-4	\frac{d}{dx}(9x+\frac{1}{x}-4)
limit as x approaches 3 of 4-x	\lim\:_{x\to\:3}(4-x)
y= 1/((x^2-2)(x^2+x+5))	y=\frac{1}{(x^{2}-2)(x^{2}+x+5)}
limit as x approaches (pi/2)+of tan(x)	\lim\:_{x\to\:(\frac{π}{2})+}(\tan(x))
integral of (7x+6)/(x^2+3x)	\int\:\frac{7x+6}{x^{2}+3x}dx
derivative of (400/(1+1/8 sqrt(x))+200)	\frac{d}{dx}(\frac{400}{1+\frac{1}{8}\sqrt{x}}+200)
derivative of (,\at)/(Bt^2+Ct^3)	derivative\:\frac{,\at\:}{Bt^{2}+Ct^{3}}
(\partial)/(\partial x)(1-7x^2)	\frac{\partial\:}{\partial\:x}(1-7x^{2})
integral of 9/(x^2sqrt(x^2+25))	\int\:\frac{9}{x^{2}\sqrt{x^{2}+25}}dx
(dy)/(dx)+5x^4y=x^4	\frac{dy}{dx}+5x^{4}y=x^{4}
derivative of 2e^xcos(sqrt(2)x)	\frac{d}{dx}(2e^{x}\cos(\sqrt{2}x))
derivative of y=1.45e^{59.9t}sin(201t)	derivative\:y=1.45e^{59.9t}\sin(201t)
integral from 2 to 6 of t^4ln(3t)	\int\:_{2}^{6}t^{4}\ln(3t)dt
derivative of f(x)=\|x^2-16\|	derivative\:f(x)=\left\|x^{2}-16\right\|
area y= 3/x+2x^3,2<= x<= 3	area\:y=\frac{3}{x}+2x^{3},2\le\:x\le\:3
tangent of f(x)=-2x^3,(1,-2)	tangent\:f(x)=-2x^{3},(1,-2)
derivative of sqrt(x(x+12))	\frac{d}{dx}(\sqrt{x(x+12)})
(\partial)/(\partial x)(3zcos(4xy)+x-7y)	\frac{\partial\:}{\partial\:x}(3z\cos(4xy)+x-7y)
derivative of f(x)= 1/(6sqrt(x^3))	derivative\:f(x)=\frac{1}{6\sqrt{x^{3}}}
tangent of f(x)= 2/(x-6),\at x=8	tangent\:f(x)=\frac{2}{x-6},\at\:x=8
integral from 2 to 5 of x/(x^2+4x+20)	\int\:_{2}^{5}\frac{x}{x^{2}+4x+20}dx
derivative of (arccot(x)^5)	\frac{d}{dx}((\arccot(x))^{5})
derivative of (x^2-16x+64)(x^2+64x+4)	derivative\:(x^{2}-16x+64)(x^{2}+64x+4)
integral of (sec(1/x))/(x^2)	\int\:\frac{\sec(\frac{1}{x})}{x^{2}}dx
(dy}{dx}=(\frac{x-y)/x)	\frac{dy}{dx}=(\frac{x-y}{x})
(cos(5x))^'	(\cos(5x))^{\prime\:}
derivative of f(x)=(6x)/(x+5)	derivative\:f(x)=\frac{6x}{x+5}
derivative of 8xe^{-kx}	derivative\:8xe^{-kx}
sum from n=1 to infinity of (2^n)/((n)!)	\sum\:_{n=1}^{\infty\:}\frac{2^{n}}{(n)!}
derivative of x^2+9x	\frac{d}{dx}(x^{2}+9x)
(\partial)/(\partial x)(e^{x^2-y^2}(cos(2xy)+sin(2xy)))	\frac{\partial\:}{\partial\:x}(e^{x^{2}-y^{2}}(\cos(2xy)+\sin(2xy)))
tangent of 4x-3x^2	tangent\:4x-3x^{2}
area-30t^2+380t,7,14	area\:-30t^{2}+380t,7,14
integral of (5-15x^2)csc^2(x^3-x)	\int\:(5-15x^{2})\csc^{2}(x^{3}-x)dx
integral of e^{-θ}cos(6θ)	\int\:e^{-θ}\cos(6θ)dθ
derivative of e^{-x}(2-x)	\frac{d}{dx}(e^{-x}(2-x))
derivative of 39e^{1/x}	\frac{d}{dx}(39e^{\frac{1}{x}})
derivative of e^x(2x^2+x-8)	\frac{d}{dx}(e^{x}(2x^{2}+x-8))
integral of-4x^4+8x^3	\int\:-4x^{4}+8x^{3}dx
integral of (2x-3)/(x^2+2x-17)	\int\:\frac{2x-3}{x^{2}+2x-17}dx
y^{1/2}(dy)/(dx)+y^{3/2}=1,y(0)=16	y^{\frac{1}{2}}\frac{dy}{dx}+y^{\frac{3}{2}}=1,y(0)=16
integral of (sin(2θ))/(1+sin^2(θ))	\int\:\frac{\sin(2θ)}{1+\sin^{2}(θ)}dθ
integral of sqrt(2+4x^2)	\int\:\sqrt{2+4x^{2}}dx
integral of e^xsqrt(1-e^x)	\int\:e^{x}\sqrt{1-e^{x}}dx
implicit e^{x^2y}=x+y	implicit\:e^{x^{2}y}=x+y
(\partial)/(\partial x)(x/(sqrt(x^2-y^2)))	\frac{\partial\:}{\partial\:x}(\frac{x}{\sqrt{x^{2}-y^{2}}})
derivative of-8/(1-8x)	\frac{d}{dx}(-\frac{8}{1-8x})

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