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Popular Calculus Problems

(\partial)/(\partial x)(8y^7cos(8x))	\frac{\partial\:}{\partial\:x}(8y^{7}\cos(8x))
derivative of 1/(b^{2/7)}	derivative\:\frac{1}{b^{\frac{2}{7}}}
limit as x approaches 2 of 3/(x^2-4)	\lim\:_{x\to\:2}(\frac{3}{x^{2}-4})
(dx)/x-y^2dy=0	\frac{dx}{x}-y^{2}dy=0
integral from-4 to 0 of (sqrt(16-x^2))	\int\:_{-4}^{0}(\sqrt{16-x^{2}})dx
derivative of sqrt(x^2+1)+2xe^x	\frac{d}{dx}(\sqrt{x^{2}+1}+2xe^{x})
(\partial)/(\partial x)(7e^{x/y})	\frac{\partial\:}{\partial\:x}(7e^{\frac{x}{y}})
integral of (x^2sin(3x))	\int\:(x^{2}\sin(3x))dx
integral of 1/(x^2sqrt(1-\frac{1){x^2)}}	\int\:\frac{1}{x^{2}\sqrt{1-\frac{1}{x^{2}}}}dx
tangent of y^2=5x^4-x^2,(1,2)	tangent\:y^{2}=5x^{4}-x^{2},(1,2)
limit as x approaches 0 of (e^x-1)/(12x)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{12x})
integral of (5sin(x)+2sec(x))/(tan(x))	\int\:\frac{5\sin(x)+2\sec(x)}{\tan(x)}dx
laplacetransform e^{3t}sin(2t)	laplacetransform\:e^{3t}\sin(2t)
integral from 0 to 0.6 of 600x	\int\:_{0}^{0.6}600xdx
integral of 1/500 e^{-1/500 t}	\int\:\frac{1}{500}e^{-\frac{1}{500}t}dt
(\partial)/(\partial y)(8x+6x^2y+2y^2)	\frac{\partial\:}{\partial\:y}(8x+6x^{2}y+2y^{2})
derivative of 1/8	derivative\:\frac{1}{8}
integral of sin(4x)cos(5x)	\int\:\sin(4x)\cos(5x)dx
integral from 1 to 2 of (2-x)^{(-2)/3}	\int\:_{1}^{2}(2-x)^{\frac{-2}{3}}dx
integral of 1/(1-2y)	\int\:\frac{1}{1-2y}dy
d/(dv)((v^3-2vsqrt(v))/v)	\frac{d}{dv}(\frac{v^{3}-2v\sqrt{v}}{v})
derivative of 7e^y	derivative\:7e^{y}
integral of ((x^2))/(sqrt(6x^2-49))	\int\:\frac{(x^{2})}{\sqrt{6x^{2}-49}}dx
derivative of (1-x)cos(2x)	derivative\:(1-x)\cos(2x)
integral of (1-1/(x^2))sqrt(x)	\int\:(1-\frac{1}{x^{2}})\sqrt{x}dx
derivative of (x+y/(sqrt(x^2+y^2)))	\frac{d}{dx}(\frac{x+y}{\sqrt{x^{2}+y^{2}}})
laplacetransform e^{-3t}sin(2t)	laplacetransform\:e^{-3t}\sin(2t)
derivative of (x^2/9)	\frac{d}{dx}(\frac{x^{2}}{9})
y^{''}+4y=2csc^2(2t)	y^{\prime\:\prime\:}+4y=2\csc^{2}(2t)
d/(dy)(2y^2e^{xy^2})	\frac{d}{dy}(2y^{2}e^{xy^{2}})
area y=x^2,y=sqrt(x)	area\:y=x^{2},y=\sqrt{x}
(\partial)/(\partial y)(sin(x^2))	\frac{\partial\:}{\partial\:y}(\sin(x^{2}))
slope ofintercept (0,-14),(-7,0)	slopeintercept\:(0,-14),(-7,0)
integral of (ln(x))x^2	\int\:(\ln(x))x^{2}dx
limit as x approaches 1/2 of x^3-x^2-x+1	\lim\:_{x\to\:\frac{1}{2}}(x^{3}-x^{2}-x+1)
integral from 0 to 3 of x^2-4	\int\:_{0}^{3}x^{2}-4dx
f(t)=3cos(2t)	f(t)=3\cos(2t)
sum from n=0 to infinity of 3^{-n}	\sum\:_{n=0}^{\infty\:}3^{-n}
limit as x approaches-4-of (-5x)/(x+4)	\lim\:_{x\to\:-4-}(\frac{-5x}{x+4})
(dy)/(dx)+1/x y=x^2y^3	\frac{dy}{dx}+\frac{1}{x}y=x^{2}y^{3}
(\partial)/(\partial x)(1/(4-3x))	\frac{\partial\:}{\partial\:x}(\frac{1}{4-3x})
limit as x approaches 0 of ((3^x-5^x))/x	\lim\:_{x\to\:0}(\frac{(3^{x}-5^{x})}{x})
derivative of (ln(2x)^4)	\frac{d}{dx}((\ln(2x))^{4})
integral from 4 to 9 of 6sqrt(x)	\int\:_{4}^{9}6\sqrt{x}dx
implicit x^5+x^2y^3=0	implicit\:x^{5}+x^{2}y^{3}=0
y^'=(3x^2-e^x)/(2y-5)	y^{\prime\:}=\frac{3x^{2}-e^{x}}{2y-5}
(\partial)/(\partial x)(sqrt(x^2+y^2+1))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+y^{2}+1})
derivative of y=4ln(cos(x))	derivative\:y=4\ln(\cos(x))
integral of (sqrt(x^2-4))/(x^4)	\int\:\frac{\sqrt{x^{2}-4}}{x^{4}}dx
derivative of (sqrt(x))/(x+6)	derivative\:\frac{\sqrt{x}}{x+6}
integral of (2x^2-3)^5x	\int\:(2x^{2}-3)^{5}xdx
derivative of y=24(x^3+6x)^{3/8}	derivative\:y=24(x^{3}+6x)^{\frac{3}{8}}
integral of x(x-1)(3-x)	\int\:x(x-1)(3-x)dx
integral of 1/(\sqrt[8]{x)}	\int\:\frac{1}{\sqrt[8]{x}}dx
(\partial)/(\partial x)((2x)/(x^2+y^4))	\frac{\partial\:}{\partial\:x}(\frac{2x}{x^{2}+y^{4}})
integral of (e^{6x})/(e^{12x)+49}	\int\:\frac{e^{6x}}{e^{12x}+49}dx
(\partial)/(\partial x)(sin(z))	\frac{\partial\:}{\partial\:x}(\sin(z))
tangent of cos(3x)	tangent\:\cos(3x)
derivative of y=(7x-1)/(8x+3)	derivative\:y=\frac{7x-1}{8x+3}
(\partial)/(\partial x)(xe^{3y})	\frac{\partial\:}{\partial\:x}(xe^{3y})
integral of x^2ln(x+4)	\int\:x^{2}\ln(x+4)dx
integral of x^3e^{-x^2}	\int\:x^{3}e^{-x^{2}}dx
limit as x approaches+2 of 3x^2+4x-3	\lim\:_{x\to\:+2}(3x^{2}+4x-3)
area y=-x^2+2x+5,y=(x^2)/2-4x+5	area\:y=-x^{2}+2x+5,y=\frac{x^{2}}{2}-4x+5
limit as x approaches 0 of ln(1+1/x)	\lim\:_{x\to\:0}(\ln(1+\frac{1}{x}))
integral of e^{-7t}	\int\:e^{-7t}dt
16y^{''}+2y=0	16y^{\prime\:\prime\:}+2y=0
derivative of x^2-2x^3	\frac{d}{dx}(x^{2}-2x^{3})
derivative of (x^5/6)	\frac{d}{dx}(\frac{x^{5}}{6})
(dy)/(dx)=3	\frac{dy}{dx}=3
derivative of f(x)=(-x^2-9)/((x^2-9)^2)	derivative\:f(x)=\frac{-x^{2}-9}{(x^{2}-9)^{2}}
tangent of 2x^2,\at x=1	tangent\:2x^{2},\at\:x=1
integral from 3 to infinity of e^{-2x}	\int\:_{3}^{\infty\:}e^{-2x}dx
integral of e^{-sx}*x	\int\:e^{-sx}\cdot\:xdx
derivative of f(x)=(x^2-9)/(x^2+3x)	derivative\:f(x)=\frac{x^{2}-9}{x^{2}+3x}
area y=x,y=2xsqrt(100-x^2)	area\:y=x,y=2x\sqrt{100-x^{2}}
derivative of f(x)=186.7	derivative\:f(x)=186.7
y^{''}-y^'+y=3sin(t)-15e^{2t}	y^{\prime\:\prime\:}-y^{\prime\:}+y=3\sin(t)-15e^{2t}
derivative of (9x-1^{-2})	\frac{d}{dx}((9x-1)^{-2})
integral of (x^2)/(e^{x+1)}	\int\:\frac{x^{2}}{e^{x+1}}dx
derivative of x^{1/5}(x+6)	\frac{d}{dx}(x^{\frac{1}{5}}(x+6))
integral of p^4ln(p)	\int\:p^{4}\ln(p)dp
3(dx)/(dt)-6x=sin(2t),x(0)=1	3\frac{dx}{dt}-6x=\sin(2t),x(0)=1
derivative of sqrt(x/y)	\frac{d}{dx}(\sqrt{\frac{x}{y}})
derivative of 1-sin^2(x)	derivative\:1-\sin^{2}(x)
integral of (13xe^{2x})/((1+2x)^2)	\int\:\frac{13xe^{2x}}{(1+2x)^{2}}dx
(\partial)/(\partial x)(3sin(x))	\frac{\partial\:}{\partial\:x}(3\sin(x))
integral of 4x^2-sin(x)+2	\int\:4x^{2}-\sin(x)+2dx
derivative of (1-4/(x+2))^3	derivative\:(1-\frac{4}{x+2})^{3}
tangent of 5tan(x),\at x= pi/3	tangent\:5\tan(x),\at\:x=\frac{π}{3}
derivative of arctan(x/y)	\frac{d}{dx}(\arctan(\frac{x}{y}))
maclaurin (x^2)/(e^x)	maclaurin\:\frac{x^{2}}{e^{x}}
integral from 0 to 1 of e^{-4x}	\int\:_{0}^{1}e^{-4x}dx
derivative of Ce^{-2x}	\frac{d}{dx}(Ce^{-2x})
integral of 3^{sin(x)}cos(x)	\int\:3^{\sin(x)}\cos(x)dx
derivative of 9t	derivative\:9t
derivative of 16x^{3/2}	\frac{d}{dx}(16x^{\frac{3}{2}})
derivative of 2x^{3/4}+4x^{-1/4}	\frac{d}{dx}(2x^{\frac{3}{4}}+4x^{-\frac{1}{4}})
tangent of (3x)/(x^2-6)(3.3)	tangent\:\frac{3x}{x^{2}-6}(3.3)
integral of 1/(2-x)	\int\:\frac{1}{2-x}dx

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