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Popular Calculus Problems

integral of 9csc(x)	\int\:9\csc(x)dx
laplacetransform e^{-t}(t-1)	laplacetransform\:e^{-t}(t-1)
derivative of f(x)=sin^4(x)	derivative\:f(x)=\sin^{4}(x)
derivative of 100x^2	\frac{d}{dx}(100x^{2})
(\partial)/(\partial x)(xln(yz))	\frac{\partial\:}{\partial\:x}(x\ln(yz))
integral of xe^{ax}	\int\:xe^{ax}dx
2y^{''}-3y^'+y=0,y(0)=2,y^'(0)= 1/2	2y^{\prime\:\prime\:}-3y^{\prime\:}+y=0,y(0)=2,y^{\prime\:}(0)=\frac{1}{2}
integral of t^2sqrt(t+8)	\int\:t^{2}\sqrt{t+8}dt
derivative of y=(2x)/(x-1)	derivative\:y=\frac{2x}{x-1}
limit as x approaches 0 of ((2arccos(x))/pi)^{1/x}	\lim\:_{x\to\:0}((\frac{2\arccos(x)}{π})^{\frac{1}{x}})
integral of (2+x+x^2)/(sqrt(x))	\int\:\frac{2+x+x^{2}}{\sqrt{x}}dx
derivative of f(t)=(sin(t))/t	derivative\:f(t)=\frac{\sin(t)}{t}
integral of y/(e^{-y)}	\int\:\frac{y}{e^{-y}}dy
FUNCTION_MANY#domain of f(x)=(sqrt(x)-x^2)/(x^3+2)	FUNCTION_MANY#domain\:f(x)=\frac{\sqrt{x}-x^{2}}{x^{3}+2}
y^{''}+9y=4cos(2x)	y^{\prime\:\prime\:}+9y=4\cos(2x)
(\partial)/(\partial x)(2e^y)	\frac{\partial\:}{\partial\:x}(2e^{y})
y^{''}-4y=9e^t,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-4y=9e^{t},y(0)=0,y^{\prime\:}(0)=0
limit as x approaches-1 of 5-2x-x^2	\lim\:_{x\to\:-1}(5-2x-x^{2})
integral of (2^x-3^x)^0	\int\:(2^{x}-3^{x})^{0}dx
derivative of 7sec(x-2x)	\frac{d}{dx}(7\sec(x)-2x)
d/(dy)((100y)/(x+y))=0	\frac{d}{dy}(\frac{100y}{x+y})=0
derivative of 1/(13x^2)	derivative\:\frac{1}{13x^{2}}
(\partial)/(\partial x)((11)/((9+x^2+y^2)))	\frac{\partial\:}{\partial\:x}(\frac{11}{(9+x^{2}+y^{2})})
inverse oflaplace-4e^{(-3s)}*1/(s-3)	inverselaplace\:-4e^{(-3s)}\cdot\:\frac{1}{s-3}
derivative of 2+cos(e^x-2-e^x)	\frac{d}{dx}(2+\cos(e^{x}-2)-e^{x})
integral from 1 to 5 of x^4ln(5x)	\int\:_{1}^{5}x^{4}\ln(5x)dx
tangent of y=x^{3-3x+1}	tangent\:y=x^{3-3x+1}
integral of sqrt(4x-y^2)	\int\:\sqrt{4x-y^{2}}dy
integral from 1 to 3 of 1/(x^2)	\int\:_{1}^{3}\frac{1}{x^{2}}dx
integral of (1/z-x/(y^2))	\int\:(\frac{1}{z}-\frac{x}{y^{2}})dy
derivative of arctan(sqrt(x-3))	\frac{d}{dx}(\arctan(\sqrt{x-3}))
derivative of (2q^2-3)^6(5q+4)^3	derivative\:(2q^{2}-3)^{6}(5q+4)^{3}
inverse oflaplace 2/(s*(s^2+4s+8))	inverselaplace\:\frac{2}{s\cdot\:(s^{2}+4s+8)}
(2y+2t-3)dt+(4y+2t-1)dy=0	(2y+2t-3)dt+(4y+2t-1)dy=0
limit as x approaches 5 of x^2+2x-3	\lim\:_{x\to\:5}(x^{2}+2x-3)
derivative of f(x)=ln(4x+7)	derivative\:f(x)=\ln(4x+7)
d/(d{x)}({y}{z}(x))	\frac{d}{d{x}}({y}{z}(x))
integral of 4x^3+2xy^2	\int\:4x^{3}+2xy^{2}dx
(\partial)/(\partial x)(x^{1/2}y^{1/3})	\frac{\partial\:}{\partial\:x}(x^{\frac{1}{2}}y^{\frac{1}{3}})
derivative of 4^x	derivative\:4^{x}
integral from 0 to 4 of xe^{-3x}	\int\:_{0}^{4}xe^{-3x}dx
(\partial)/(\partial x)(vsin(x))	\frac{\partial\:}{\partial\:x}(v\sin(x))
derivative of f(x)=sqrt(2+x)	derivative\:f(x)=\sqrt{2+x}
integral of e^{-5x^2}	\int\:e^{-5x^{2}}dx
(\partial)/(\partial x)(1-x/y)	\frac{\partial\:}{\partial\:x}(1-\frac{x}{y})
integral from 1 to 2 of xe^{2x^2-3}	\int\:_{1}^{2}xe^{2x^{2}-3}dx
integral from 0 to pi of 10tsin(3t)	\int\:_{0}^{π}10t\sin(3t)dt
limit as x approaches infinity of (x*(x+1)^{x+1})/((x+1)^{x+2)}	\lim\:_{x\to\:\infty\:}(\frac{x\cdot\:(x+1)^{x+1}}{(x+1)^{x+2}})
integral of (sin(x))^2(cos(x))^2	\int\:(\sin(x))^{2}(\cos(x))^{2}dx
slope ofintercept (2005,54),(2010,58)	slopeintercept\:(2005,54),(2010,58)
integral of u^2+1	\int\:u^{2}+1du
derivative of ln(1-9x)	derivative\:\ln(1-9x)
y^'=y^3-6x^2y^3	y^{\prime\:}=y^{3}-6x^{2}y^{3}
maclaurin 10^x	maclaurin\:10^{x}
derivative of in(x+3)	\frac{d}{dx}(in(x+3))
derivative of 1-sin(2x)	\frac{d}{dx}(1-\sin(2x))
(\partial)/(\partial x)((7x)/(3y))	\frac{\partial\:}{\partial\:x}(\frac{7x}{3y})
normal of f(x)= x/(2x-3),(1,-1)	normal\:f(x)=\frac{x}{2x-3},(1,-1)
f(x)=14400+600x+x^2	f(x)=14400+600x+x^{2}
(\partial)/(\partial x)(sin(2x)cos(y))	\frac{\partial\:}{\partial\:x}(\sin(2x)\cos(y))
(dy)/(dx)=e^{6x}+8y	\frac{dy}{dx}=e^{6x}+8y
integral of 15x	\int\:15xdx
derivative of (2x^2+6x+8)/(sqrt(x))	derivative\:\frac{2x^{2}+6x+8}{\sqrt{x}}
integral from 0 to 2 of 1/(x+2)	\int\:_{0}^{2}\frac{1}{x+2}dx
limit as x approaches 0 of ((cos(11x)-cos(6x)))/x	\lim\:_{x\to\:0}(\frac{(\cos(11x)-\cos(6x))}{x})
derivative of f(x)=x^3sin(x)	derivative\:f(x)=x^{3}\sin(x)
derivative of (x^2-6x+1/((x^2-1)^2))	\frac{d}{dx}(\frac{x^{2}-6x+1}{(x^{2}-1)^{2}})
integral of cos(x)(5+5sin^2(x))	\int\:\cos(x)(5+5\sin^{2}(x))dx
integral from 0 to 1 of (\sqrt[3]{1+7x})	\int\:_{0}^{1}(\sqrt[3]{1+7x})dx
integral of x^2-9x+3	\int\:x^{2}-9x+3dx
sum from n=1 to infinity of 9/(6+9^n)	\sum\:_{n=1}^{\infty\:}\frac{9}{6+9^{n}}
integral of 1/(1-9x^2)	\int\:\frac{1}{1-9x^{2}}dx
integral of 2cos(x^2)	\int\:2\cos(x^{2})dx
derivative of (2x^2+8x+8/(sqrt(x)))	\frac{d}{dx}(\frac{2x^{2}+8x+8}{\sqrt{x}})
derivative of f(x)=(2e^x-3x^5)	derivative\:f(x)=(2e^{x}-3x^{5})
integral of 1/(4t^2-4t+5)	\int\:\frac{1}{4t^{2}-4t+5}dt
(\partial)/(\partial x)(-4y^3sin(4x))	\frac{\partial\:}{\partial\:x}(-4y^{3}\sin(4x))
derivative of sin(x-csc(x))	\frac{d}{dx}(\sin(x)-\csc(x))
limit as x approaches 2 of sqrt(x/(x-2))	\lim\:_{x\to\:2}(\sqrt{\frac{x}{x-2}})
derivative of cos(x)+isin(x)	derivative\:\cos(x)+i\sin(x)
integral of e^{2x}x	\int\:e^{2x}xdx
integral of 9x^2-24x-36	\int\:9x^{2}-24x-36dx
derivative of cos(1-4x)	\frac{d}{dx}(\cos(1-4x))
derivative of sec^2(sqrt(x))	\frac{d}{dx}(\sec^{2}(\sqrt{x}))
derivative of (sin(x)/(8xe^x))	\frac{d}{dx}(\frac{\sin(x)}{8xe^{x}})
d/(dt)(t^5)	\frac{d}{dt}(t^{5})
limit as x approaches 0 of tan(x)ln(x)	\lim\:_{x\to\:0}(\tan(x)\ln(x))
tangent of 1/(x^5)	tangent\:\frac{1}{x^{5}}
integral of (x+1)(2x^2+sqrt(x))	\int\:(x+1)(2x^{2}+\sqrt{x})dx
derivative of f(x)=xcos(x)+2tan(x)	derivative\:f(x)=x\cos(x)+2\tan(x)
integral of coth(x/3)	\int\:\coth(\frac{x}{3})dx
derivative of a*e^x	\frac{d}{dx}(a\cdot\:e^{x})
sum from n=1 to infinity of 3/(n+1)	\sum\:_{n=1}^{\infty\:}\frac{3}{n+1}
derivative of f(x)=sin(8x+4)	derivative\:f(x)=\sin(8x+4)
derivative of 1/(x(x+2^2))	\frac{d}{dx}(\frac{1}{x(x+2)^{2}})
(tan(2x))^'	(\tan(2x))^{\prime\:}
((4x^3)/3+2x+cos(x)+1)^'	(\frac{4x^{3}}{3}+2x+\cos(x)+1)^{\prime\:}
integral of (sqrt(16-4x^2))	\int\:(\sqrt{16-4x^{2}})dx
derivative of 2-sin(x)	\frac{d}{dx}(2-\sin(x))
derivative of (x^2+6x/(10-x^2))	\frac{d}{dx}(\frac{x^{2}+6x}{10-x^{2}})

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