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Popular Calculus Problems

derivative of 1/(x+y^2)	\frac{d}{dx}(\frac{1}{x+y^{2}})
derivative of 1/(sqrt(2x+1))	\frac{d}{dx}(\frac{1}{\sqrt{2x+1}})
derivative of f(t)=9tsin(pit)	derivative\:f(t)=9t\sin(πt)
integral of (cos(ln(9x)))/x	\int\:\frac{\cos(\ln(9x))}{x}dx
sum from n=1 to infinity of 2/(n(n+3))	\sum\:_{n=1}^{\infty\:}\frac{2}{n(n+3)}
limit as x approaches 5 of 4x-3x^2	\lim\:_{x\to\:5}(4x-3x^{2})
limit as x approaches 5 of x^2+2x-35	\lim\:_{x\to\:5}(x^{2}+2x-35)
derivative of y=3csc^2(5x)^3	derivative\:y=3\csc^{2}(5x)^{3}
tangent of y=x^3-2x+2(3.23)	tangent\:y=x^{3}-2x+2(3.23)
derivative of 4x^3-5x^2+3x-5	\frac{d}{dx}(4x^{3}-5x^{2}+3x-5)
derivative of arctan(2x-1)	\frac{d}{dx}(\arctan(2x-1))
xy^'+36y= 1/x	xy^{\prime\:}+36y=\frac{1}{x}
area sin(x),cos(x),[0, pi/4 ]	area\:\sin(x),\cos(x),[0,\frac{π}{4}]
derivative of (2x^2-2^{-1})	\frac{d}{dx}((2x^{2}-2)^{-1})
integral of sqrt(5)	\int\:\sqrt{5}dx
integral of (\sqrt[7]{x}+\sqrt[8]{x})	\int\:(\sqrt[7]{x}+\sqrt[8]{x})dx
derivative of 4xy^2	derivative\:4xy^{2}
limit as x approaches-3 of (6-3x)(3/5 x-1)	\lim\:_{x\to\:-3}((6-3x)(\frac{3}{5}x-1))
integral of 2y^2+ye^{xy}	\int\:2y^{2}+ye^{xy}dx
y^{''}-3y^'=8	y^{\prime\:\prime\:}-3y^{\prime\:}=8
limit as x approaches 1-of (x-2)^2	\lim\:_{x\to\:1-}((x-2)^{2})
derivative of h(x)= 1/((-3x^2+3x-2)^3)	derivative\:h(x)=\frac{1}{(-3x^{2}+3x-2)^{3}}
derivative of 126x(9x^2+6)^6	derivative\:126x(9x^{2}+6)^{6}
area y=x+1,y=7x-17,y=-2x-2	area\:y=x+1,y=7x-17,y=-2x-2
area y=\|9x\|,y=x^2-10	area\:y=\left\|9x\right\|,y=x^{2}-10
integral of (2x+1)/(x^2+4)	\int\:\frac{2x+1}{x^{2}+4}dx
y^{''}+12y^'+24y=4381e^{2t}cos(13t)	y^{\prime\:\prime\:}+12y^{\prime\:}+24y=4381e^{2t}\cos(13t)
integral of e^xsec(e^x)	\int\:e^{x}\sec(e^{x})dx
integral of tan^5(7x)	\int\:\tan^{5}(7x)dx
derivative of (10/(x-6))	\frac{d}{dx}(\frac{10}{x-6})
f(x)= x/(x^2-x+1)	f(x)=\frac{x}{x^{2}-x+1}
limit as x approaches 0+of x*sin(1/x)	\lim\:_{x\to\:0+}(x\cdot\:\sin(\frac{1}{x}))
(3sin(x))^'	(3\sin(x))^{\prime\:}
area f(x)=2sin(x),g(x)=2cos(x)	area\:f(x)=2\sin(x),g(x)=2\cos(x)
limit as x approaches 0+of 5x+9	\lim\:_{x\to\:0+}(5x+9)
derivative of cot^2(sin(x))	derivative\:\cot^{2}(\sin(x))
limit as x approaches 2-of 1/(x-3)	\lim\:_{x\to\:2-}(\frac{1}{x-3})
derivative of (1+csc(x^3)/(1-cot(x^3)))	\frac{d}{dx}(\frac{1+\csc(x^{3})}{1-\cot(x^{3})})
integral of 1/(y-5)	\int\:\frac{1}{y-5}dy
integral of sin^3(2x)cos^4(2x)	\int\:\sin^{3}(2x)\cos^{4}(2x)dx
derivative of xi	\frac{d}{dx}(xi)
limit as x approaches 0 of (sin(8x))/(tan(9x))	\lim\:_{x\to\:0}(\frac{\sin(8x)}{\tan(9x)})
integral of ((sqrt(x))/x)	\int\:(\frac{\sqrt{x}}{x})dx
area 4x^2,6x-2	area\:4x^{2},6x-2
integral of (e^2x)/(4+e^4x)	\int\:\frac{e^{2}x}{4+e^{4}x}dx
(dy)/(dx)=((2x+1))/(2y)	\frac{dy}{dx}=\frac{(2x+1)}{2y}
derivative of 9x(2x^2+1)	derivative\:9x(2x^{2}+1)
slope of 2sqrt(x)	slope\:2\sqrt{x}
integral of sqrt(9t^2+4)	\int\:\sqrt{9t^{2}+4}dt
(\partial)/(\partial x)(9/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{9}{x^{2}+y^{2}})
integral of (5x^4-6x^2+3)	\int\:(5x^{4}-6x^{2}+3)dx
derivative of ln(e^x+3)	\frac{d}{dx}(\ln(e^{x}+3))
integral of tan(9x)sec^{5/4}(9x)	\int\:\tan(9x)\sec^{\frac{5}{4}}(9x)dx
limit as t approaches-3 of (t-2)/(t+5)	\lim\:_{t\to\:-3}(\frac{t-2}{t+5})
integral of (32^x-23^x)/(2x)	\int\:\frac{3\cdot\:2^{x}-2\cdot\:3^{x}}{2x}dx
integral of (x^4-x^3)/(x^5)	\int\:\frac{x^{4}-x^{3}}{x^{5}}dx
derivative of (x^3+9/x)	\frac{d}{dx}(\frac{x^{3}+9}{x})
y^'=(y^3+1)/((3xy^2))	y^{\prime\:}=\frac{y^{3}+1}{(3xy^{2})}
(\partial)/(\partial x)(3xy^2)	\frac{\partial\:}{\partial\:x}(3xy^{2})
derivative of 4x^3y^3	\frac{d}{dx}(4x^{3}y^{3})
derivative of f(x)=sqrt(4x+32)	derivative\:f(x)=\sqrt{4x+32}
area f(x)=((25-x^2)^{1/2}), 4/3 x,5	area\:f(x)=((25-x^{2})^{\frac{1}{2}}),\frac{4}{3}x,5
(\partial)/(\partial x)(ae^{2x})	\frac{\partial\:}{\partial\:x}(ae^{2x})
integral of 1/((a+bx)^2)	\int\:\frac{1}{(a+bx)^{2}}dx
integral of 1/(16x^4-1)	\int\:\frac{1}{16x^{4}-1}dx
integral of (3e^{3t})/(3+e^{3t)}	\int\:\frac{3e^{3t}}{3+e^{3t}}dt
(dy)/(dx)=sin(17x)	\frac{dy}{dx}=\sin(17x)
integral of (x+1)*e^{4x+1}	\int\:(x+1)\cdot\:e^{4x+1}dx
derivative of \sqrt[3]{4x-5}	derivative\:\sqrt[3]{4x-5}
integral of 3x^2-sqrt(x)	\int\:3x^{2}-\sqrt{x}dx
integral of (sqrt(81-x^2))/x	\int\:\frac{\sqrt{81-x^{2}}}{x}dx
(\partial)/(\partial x)(asqrt(x))	\frac{\partial\:}{\partial\:x}(a\sqrt{x})
derivative of 2^{3x^2}	derivative\:2^{3x^{2}}
integral of (cos(2x))/(sin^2(2x))	\int\:\frac{\cos(2x)}{\sin^{2}(2x)}dx
derivative of x^2(4-x)^2	derivative\:x^{2}(4-x)^{2}
integral of (2x^2+4x-6)/x	\int\:\frac{2x^{2}+4x-6}{x}dx
integral from 0 to 1 of (3y)/(e^{2y)}	\int\:_{0}^{1}\frac{3y}{e^{2y}}dy
derivative of x^2-6x+7	\frac{d}{dx}(x^{2}-6x+7)
derivative of sinh(2x)	\frac{d}{dx}(\sinh(2x))
limit as x approaches 1+of (x-1)^{(x-1)}	\lim\:_{x\to\:1+}((x-1)^{(x-1)})
derivative of (4-2x-x^2)/(x^2-6)	derivative\:\frac{4-2x-x^{2}}{x^{2}-6}
(\partial)/(\partial x)(xcos(yz))	\frac{\partial\:}{\partial\:x}(x\cos(yz))
integral of (2x-1)^5	\int\:(2x-1)^{5}dx
derivative of cos(x^3*3x^2)	\frac{d}{dx}(\cos(x^{3})\cdot\:3x^{2})
integral from 0 to 2 of (x^2)	\int\:_{0}^{2}(x^{2})dx
derivative of (14x+6x^2)/((7+6x)^2)	derivative\:\frac{14x+6x^{2}}{(7+6x)^{2}}
integral from 0 to 4 of pi(4x^2)^2	\int\:_{0}^{4}π(4x^{2})^{2}dx
(\partial)/(\partial x)(sqrt(5+2x+3xy^2))	\frac{\partial\:}{\partial\:x}(\sqrt{5+2x+3xy^{2}})
integral of cos(16x)cos(7x)	\int\:\cos(16x)\cos(7x)dx
(d^2)/(dx^2)(x^r)	\frac{d^{2}}{dx^{2}}(x^{r})
inverse oflaplace 1/(s^2+5)	inverselaplace\:\frac{1}{s^{2}+5}
sum from n=0 to infinity of (n+1)(1/2)^n	\sum\:_{n=0}^{\infty\:}(n+1)(\frac{1}{2})^{n}
taylor 1/(1-x^5)	taylor\:\frac{1}{1-x^{5}}
integral from 0 to 1 of (29)/(x^5)	\int\:_{0}^{1}\frac{29}{x^{5}}dx
integral of (x^2-4)/(x^3-12x+3)	\int\:\frac{x^{2}-4}{x^{3}-12x+3}dx
integral of 7^{x+2}	\int\:7^{x+2}dx
derivative of (x^2-100/(x-10))	\frac{d}{dx}(\frac{x^{2}-100}{x-10})
derivative of sqrt(9x^2+5)	\frac{d}{dx}(\sqrt{9x^{2}+5})
sum from n=2 to infinity of 3/(2^n)	\sum\:_{n=2}^{\infty\:}\frac{3}{2^{n}}
integral of 6x^2-3x	\int\:6x^{2}-3xdx

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