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Popular Calculus Problems

area x^4-9x^2,x^2-9	area\:x^{4}-9x^{2},x^{2}-9
derivative of 2csc(x)	derivative\:2\csc(x)
(\partial)/(\partial x)(1/2 ln(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{1}{2}\ln(x^{2}+y^{2}))
tangent of y=x^4+4e^x	tangent\:y=x^{4}+4e^{x}
integral of (2xsin(y)-ysin(x))	\int\:(2x\sin(y)-y\sin(x))dx
derivative of (8x^2-14xe^x)	\frac{d}{dx}((8x^{2}-14x)e^{x})
integral from 1 to 25 of e^{sqrt(x)}	\int\:_{1}^{25}e^{\sqrt{x}}dx
derivative of ln((x+3^4))	\frac{d}{dx}(\ln((x+3)^{4}))
limit as x approaches 1/2 of 1/((2x-1))	\lim\:_{x\to\:\frac{1}{2}}(\frac{1}{(2x-1)})
integral from 1 to e of ((x^2+x+1))/x	\int\:_{1}^{e}\frac{(x^{2}+x+1)}{x}dx
y^{''}+4y^'-12y=0	y^{\prime\:\prime\:}+4y^{\prime\:}-12y=0
derivative of (x^2-7)sqrt(x)	derivative\:(x^{2}-7)\sqrt{x}
limit as x approaches 0 of x/1	\lim\:_{x\to\:0}(\frac{x}{1})
tangent of f(x)=4x^3-4x,(1,0)	tangent\:f(x)=4x^{3}-4x,(1,0)
derivative of \sqrt[5]{8x^3+9x}	\frac{d}{dx}(\sqrt[5]{8x^{3}+9x})
integral of (2x)/(\sqrt[3]{3x^2+6)}	\int\:\frac{2x}{\sqrt[3]{3x^{2}+6}}dx
normal of y=4x^3-9x^2-12x+12,(1,-5)	normal\:y=4x^{3}-9x^{2}-12x+12,(1,-5)
derivative of (tan(x-1)/(sec(x)))	\frac{d}{dx}(\frac{\tan(x)-1}{\sec(x)})
derivative of 2arccos(x/4)	\frac{d}{dx}(2\arccos(\frac{x}{4}))
tangent of f(x)=2sin(x),\at x= pi/3	tangent\:f(x)=2\sin(x),\at\:x=\frac{π}{3}
integral of x^2sqrt(6x+5)	\int\:x^{2}\sqrt{6x+5}dx
derivative of f(x)=3a^{3x}	derivative\:f(x)=3a^{3x}
area 9x^2+y=9,x^4-y=1	area\:9x^{2}+y=9,x^{4}-y=1
integral of 3/(sqrt(y))	\int\:\frac{3}{\sqrt{y}}dy
limit as x approaches 1 of (-3x-1)/(x-1)	\lim\:_{x\to\:1}(\frac{-3x-1}{x-1})
integral of (e^x+2)^2e^x	\int\:(e^{x}+2)^{2}e^{x}dx
area 2sin(3θ),1	area\:2\sin(3θ),1
derivative of 4e^{2x}x+4e^{2x}	\frac{d}{dx}(4e^{2x}x+4e^{2x})
integral of (2x+3x^2)	\int\:(2x+3x^{2})dx
tangent of y=x^3-3x+1,(2,3)	tangent\:y=x^{3}-3x+1,(2,3)
integral of (int)^2	\int\:(int)^{2}dt
derivative of y=-18	derivative\:y=-18
derivative of 2sec^2(x^7)	\frac{d}{dx}(2\sec^{2}(x^{7}))
tangent of 1/(2sqrt(x)),\at x=4	tangent\:\frac{1}{2\sqrt{x}},\at\:x=4
limit as x approaches 8+of sqrt(x-8)	\lim\:_{x\to\:8+}(\sqrt{x-8})
(dx)/(dt)=x^2-2x+2	\frac{dx}{dt}=x^{2}-2x+2
laplacetransform sin(2t)cos(3t)	laplacetransform\:\sin(2t)\cos(3t)
integral of (2x-1)y^2sin(3xy)	\int\:(2x-1)y^{2}\sin(3xy)dx
integral of 15(tan(x))(ln(cos(x)))	\int\:15(\tan(x))(\ln(\cos(x)))dx
integral of (2x)/(x^2-4)	\int\:\frac{2x}{x^{2}-4}dx
integral of-cos(x)+1	\int\:-\cos(x)+1dx
limit as x approaches 0 of ((x^2+2x))/x	\lim\:_{x\to\:0}(\frac{(x^{2}+2x)}{x})
(\partial)/(\partial y)(-2xy(-15-x-y))	\frac{\partial\:}{\partial\:y}(-2xy(-15-x-y))
integral from 0 to 1 of 2/(sqrt(x)(x+1))	\int\:_{0}^{1}\frac{2}{\sqrt{x}(x+1)}dx
tangent of y=4.2x-x^2	tangent\:y=4.2x-x^{2}
integral of (700x)/((x+1)^{1/3)}	\int\:\frac{700x}{(x+1)^{\frac{1}{3}}}dx
(\partial)/(\partial x)(xe^{-x^2-y^2})	\frac{\partial\:}{\partial\:x}(xe^{-x^{2}-y^{2}})
limit as x approaches 0 of (e^x-1)/(9x)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{9x})
(dy)/(dx)=6x^2+3	\frac{dy}{dx}=6x^{2}+3
integral from 0 to 1 of ln(6x)	\int\:_{0}^{1}\ln(6x)dx
integral from 0 to 4 of (x^2)/(x^3+7)	\int\:_{0}^{4}\frac{x^{2}}{x^{3}+7}dx
derivative of f(x)=((e^x))/((1-e^x))	derivative\:f(x)=\frac{(e^{x})}{(1-e^{x})}
integral of x^2(ln(x))	\int\:x^{2}(\ln(x))dx
integral of (1 (y))^2	\int\:(\frac{d}{1}(y))^{2}dx
inverse oflaplace ((4s-5))/(s^2-6s+13)	inverselaplace\:\frac{(4s-5)}{s^{2}-6s+13}
sum from n=1 to infinity of (1/3)^n	\sum\:_{n=1}^{\infty\:}(\frac{1}{3})^{n}
area 4x^2,sqrt(x/4)	area\:4x^{2},\sqrt{\frac{x}{4}}
area y=x^2+4,y=-x^2-1,x=-2,x=3	area\:y=x^{2}+4,y=-x^{2}-1,x=-2,x=3
derivative of 30ln(2x+1)	derivative\:30\ln(2x+1)
limit as x approaches-3-of ln(x^2-9)	\lim\:_{x\to\:-3-}(\ln(x^{2}-9))
derivative of-6/((1-x^2))	\frac{d}{dx}(-\frac{6}{(1-x)^{2}})
derivative of-((64)/((1+4x)^3))	derivative\:-(\frac{64}{(1+4x)^{3}})
integral of sqrt(u^2+1)	\int\:\sqrt{u^{2}+1}du
y^'+y-2sin(x)=0	y^{\prime\:}+y-2\sin(x)=0
integral from-infinity to 0 of 1/(7-2x)	\int\:_{-\infty\:}^{0}\frac{1}{7-2x}dx
derivative of 13x^3(x^2-5)	derivative\:13x^{3}(x^{2}-5)
derivative of arctan((0.9/x))	\frac{d}{dx}(\arctan(\frac{0.9}{x}))
derivative of (42)/x	derivative\:\frac{42}{x}
limit as x approaches-2 of 3x+8	\lim\:_{x\to\:-2}(3x+8)
derivative of y=e^{-x^9}	derivative\:y=e^{-x^{9}}
integral of (cos(2x))/(cos^2(x))	\int\:\frac{\cos(2x)}{\cos^{2}(x)}dx
integral of 7csc(x)cot(x)	\int\:7\csc(x)\cot(x)dx
(\partial)/(\partial x)(e^{xz+6}-cos(x+y))	\frac{\partial\:}{\partial\:x}(e^{xz+6}-\cos(x+y))
integral from 0 to 1 of [(x^2+2)-(-x)]	\int\:_{0}^{1}[(x^{2}+2)-(-x)]dx
integral of x(x-3)^7	\int\:x(x-3)^{7}dx
integral from 1 to t of (33)/(x^3)	\int\:_{1}^{t}\frac{33}{x^{3}}dx
derivative of log_{6}(2x^2+4)	\frac{d}{dx}(\log_{6}(2x^{2}+4))
integral of ((10x)/(1+5x^2))	\int\:(\frac{10x}{1+5x^{2}})dx
derivative of (2x^3)/3	derivative\:\frac{2x^{3}}{3}
integral from 1 to 3 of (x^2+2x-5)	\int\:_{1}^{3}(x^{2}+2x-5)dx
derivative of (e^x/(3x^2))	\frac{d}{dx}(\frac{e^{x}}{3x^{2}})
limit as x approaches 0 of 6x^2(cot(3x))(csc(2x))	\lim\:_{x\to\:0}(6x^{2}(\cot(3x))(\csc(2x)))
integral from 0 to 1 of (sqrt(x)-x^2)^2	\int\:_{0}^{1}(\sqrt{x}-x^{2})^{2}dx
integral of (x-1)/(sqrt(x^2-4x+3))	\int\:\frac{x-1}{\sqrt{x^{2}-4x+3}}dx
derivative of f(x)=-2x^2	derivative\:f(x)=-2x^{2}
sum from n=0 to infinity of n/(n+1)x^n	\sum\:_{n=0}^{\infty\:}\frac{n}{n+1}x^{n}
derivative of 5e^{-2x}	\frac{d}{dx}(5e^{-2x})
integral of-4cos^2(x)	\int\:-4\cos^{2}(x)dx
derivative of (x-1(x+2))	\frac{d}{dx}((x-1)(x+2))
derivative of 1/7 pir^3	derivative\:\frac{1}{7}πr^{3}
(\partial)/(\partial x)(ln(3x))	\frac{\partial\:}{\partial\:x}(\ln(3x))
limit as x approaches infinity of 8x^2e^{-x}	\lim\:_{x\to\:\infty\:}(8x^{2}e^{-x})
y^{''}-y^'+y=e^{2t}	y^{\prime\:\prime\:}-y^{\prime\:}+y=e^{2t}
derivative of x(cosh((200/x)-1)-100)	\frac{d}{dx}(x(\cosh(\frac{200}{x})-1)-100)
tangent of f(x)=2x^2+x,\at x=1	tangent\:f(x)=2x^{2}+x,\at\:x=1
integral from 0 to 1 of (8x-1)^2	\int\:_{0}^{1}(8x-1)^{2}dx
derivative of 6/(\sqrt[3]{x^2+5})	\frac{d}{dx}(\frac{6}{\sqrt[3]{x^{2}+5}})
integral from 0 to 1 of 7^{3x}	\int\:_{0}^{1}7^{3x}dx
integral of ((ln(x)-1)^2)/x	\int\:\frac{(\ln(x)-1)^{2}}{x}dx
derivative of y= x/3+(3x^2)/2	derivative\:y=\frac{x}{3}+\frac{3x^{2}}{2}

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