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Popular Calculus Problems

derivative of y= 2/(sqrt(x))	derivative\:y=\frac{2}{\sqrt{x}}
derivative of y=(13)/(ln(x))	derivative\:y=\frac{13}{\ln(x)}
integral of sin(t)cos^2(t)	\int\:\sin(t)\cos^{2}(t)dt
limit as x approaches 0 of x^3+2x^2-4x+4	\lim\:_{x\to\:0}(x^{3}+2x^{2}-4x+4)
tangent of f(x)=7e^{0.03x},\at x=9	tangent\:f(x)=7e^{0.03x},\at\:x=9
area 3sin(x),8cos(x)	area\:3\sin(x),8\cos(x)
limit as x approaches 2 of (1+x)^{1/x}	\lim\:_{x\to\:2}((1+x)^{\frac{1}{x}})
integral of ((1-x^2))/(x^2)	\int\:\frac{(1-x^{2})}{x^{2}}dx
integral of-9	\int\:-9dx
derivative of 1/((3-x^4))	\frac{d}{dx}(\frac{1}{(3-x)^{4}})
integral of t^3sin(t)	\int\:t^{3}\sin(t)dt
(dy)/(dx)+2y=e^{2x}y^{-2}	\frac{dy}{dx}+2y=e^{2x}y^{-2}
y^'+1/x y=6x^2	y^{\prime\:}+\frac{1}{x}y=6x^{2}
(\partial)/(\partial y)(x^2-4xy+3y^2)	\frac{\partial\:}{\partial\:y}(x^{2}-4xy+3y^{2})
derivative of (4x^x)	\frac{d}{dx}((4x)^{x})
integral of 10x^4-2sec^2(x)	\int\:10x^{4}-2\sec^{2}(x)dx
tangent of 4/(x^2)	tangent\:\frac{4}{x^{2}}
tangent of 9/x	tangent\:\frac{9}{x}
slope of x^2+xy-(y^2)/4 =1	slope\:x^{2}+xy-\frac{y^{2}}{4}=1
derivative of f(x)=(5x+2x^2)^2	derivative\:f(x)=(5x+2x^{2})^{2}
inverse oflaplace 4/(s+3)	inverselaplace\:\frac{4}{s+3}
integral of (4x^{19}-5x^{-8})/(x^2)	\int\:\frac{4x^{19}-5x^{-8}}{x^{2}}dx
limit as x approaches infinity of-xe^{-x^2}2-e^{-x^2}	\lim\:_{x\to\:\infty\:}(-xe^{-x^{2}}2-e^{-x^{2}})
(dv)/(dy)+2*v=4e^{-y}	\frac{dv}{dy}+2\cdot\:v=4e^{-y}
integral from-8 to 3 of sqrt(\|x\|+1)	\int\:_{-8}^{3}\sqrt{\left\|x\right\|+1}dx
derivative of g(t)=sqrt(t)	derivative\:g(t)=\sqrt{t}
integral of (ln(4x))/(x^2)	\int\:\frac{\ln(4x)}{x^{2}}dx
(\partial)/(\partial y)(yln(y)-e^{-xy})	\frac{\partial\:}{\partial\:y}(y\ln(y)-e^{-xy})
integral of (3x+1)/(x^2-10x+28)	\int\:\frac{3x+1}{x^{2}-10x+28}dx
derivative of 200(e)^{0.03x}	derivative\:200(e)^{0.03x}
area y=x^4-3x^2+3,y=x^2	area\:y=x^{4}-3x^{2}+3,y=x^{2}
d/(dv)((\sqrt[3]{v}-2ve^v)/v)	\frac{d}{dv}(\frac{\sqrt[3]{v}-2ve^{v}}{v})
tangent of y=5x^2-x^3,(1,4)	tangent\:y=5x^{2}-x^{3},(1,4)
limit as x approaches 2 of 2/x	\lim\:_{x\to\:2}(\frac{2}{x})
integral of 8x+cos(x)	\int\:8x+\cos(x)dx
taylor e^{3x},9	taylor\:e^{3x},9
(\partial)/(\partial x)(sin(x)cos(4y))	\frac{\partial\:}{\partial\:x}(\sin(x)\cos(4y))
integral of 3x^2-2x	\int\:3x^{2}-2xdx
derivative of (8x)/(5-cot(x))	derivative\:\frac{8x}{5-\cot(x)}
derivative of xarccos(1/x)	\frac{d}{dx}(x\arccos(\frac{1}{x}))
integral of ae^{-bx}	\int\:ae^{-bx}dx
(dy)/(dx)=y(1-0.0008y)	\frac{dy}{dx}=y(1-0.0008y)
derivative of 9sqrt(x)+7	\frac{d}{dx}(9\sqrt{x}+7)
6y^{''}-6y^'+39y=0	6y^{\prime\:\prime\:}-6y^{\prime\:}+39y=0
limit as x approaches 0 of (1+x/2)^{3/x}	\lim\:_{x\to\:0}((1+\frac{x}{2})^{\frac{3}{x}})
derivative of ln(x^2-4x+5)	\frac{d}{dx}(\ln(x^{2}-4x+5))
derivative of x_{1}+x_{2}+x_{3}-12	derivative\:x_{1}+x_{2}+x_{3}-12
integral of e^{-x}cos(8x)	\int\:e^{-x}\cos(8x)dx
(\partial)/(\partial x)(12x^4-6x^2y+4y^3)	\frac{\partial\:}{\partial\:x}(12x^{4}-6x^{2}y+4y^{3})
derivative of x^{3/5}(4-x)	\frac{d}{dx}(x^{\frac{3}{5}}(4-x))
derivative of arccos(e^{2x})	derivative\:\arccos(e^{2x})
integral from 0 to 2 of 1/(x^{1.9)}	\int\:_{0}^{2}\frac{1}{x^{1.9}}dx
derivative of f(x)=(x+3)/(x+5)	derivative\:f(x)=\frac{x+3}{x+5}
(\partial)/(\partial u)(3u^2)	\frac{\partial\:}{\partial\:u}(3u^{2})
integral from 0 to pi/2 of picos^2(x)	\int\:_{0}^{\frac{π}{2}}π\cos^{2}(x)dx
integral of (x+9)/(x^2+4)	\int\:\frac{x+9}{x^{2}+4}dx
limit as x approaches infinity of (x!)^2	\lim\:_{x\to\:\infty\:}((x!)^{2})
area x^2-12,4x	area\:x^{2}-12,4x
normal of y=(x+3)^3,\at x=-1/75	normal\:y=(x+3)^{3},\at\:x=-\frac{1}{75}
derivative of 2/((2-x^2))	\frac{d}{dx}(\frac{2}{(2-x)^{2}})
derivative of 2/3 (x^2-1^{3/2})	\frac{d}{dx}(\frac{2}{3}(x^{2}-1)^{\frac{3}{2}})
derivative of arctan(sqrt(5x^2-1))	\frac{d}{dx}(\arctan(\sqrt{5x^{2}-1}))
integral of x^3sqrt(x^2+9)	\int\:x^{3}\sqrt{x^{2}+9}dx
(\partial)/(\partial x)(sin(pi(6x-y)))	\frac{\partial\:}{\partial\:x}(\sin(π(6x-y)))
derivative of arctan((1+t)/(1-t))	derivative\:\arctan(\frac{1+t}{1-t})
derivative of-2(arctan(3x-arctan(2x))+x)	\frac{d}{dx}(-2(\arctan(3x)-\arctan(2x))+x)
integral of 3/(60-t)	\int\:\frac{3}{60-t}dt
tangent of 8/(x^2+4)	tangent\:\frac{8}{x^{2}+4}
tangent of f(x)=(20x)/(x^2-5)	tangent\:f(x)=\frac{20x}{x^{2}-5}
limit as x approaches-6+of 1/((x+6)^6)	\lim\:_{x\to\:-6+}(\frac{1}{(x+6)^{6}})
integral from 0 to 3 of-6x^2	\int\:_{0}^{3}-6x^{2}dx
tangent of f(x)=2x^3-5x+4,\at x=-1	tangent\:f(x)=2x^{3}-5x+4,\at\:x=-1
derivative of 1/(3x^3)+(x^7)/(10)	derivative\:\frac{1}{3x^{3}}+\frac{x^{7}}{10}
limit as x approaches 2+of x-1	\lim\:_{x\to\:2+}(x-1)
inverse oflaplace (5s)/((s+4)^3)	inverselaplace\:\frac{5s}{(s+4)^{3}}
(\partial)/(\partial x)((2x)/((x^2+y^2)))	\frac{\partial\:}{\partial\:x}(\frac{2x}{(x^{2}+y^{2})})
derivative of (2x+5)(5x^2+1)	derivative\:(2x+5)(5x^{2}+1)
integral from 0 to (3pi)/2 of 7\|sin(x)\|	\int\:_{0}^{\frac{3π}{2}}7\left\|\sin(x)\right\|dx
area f(x)=e^x,g(x)=cos(x),x=0,x= pi/2	area\:f(x)=e^{x},g(x)=\cos(x),x=0,x=\frac{π}{2}
area y=x^2-3x,y=x	area\:y=x^{2}-3x,y=x
integral from 0 to 2 of x(1-x)	\int\:_{0}^{2}x(1-x)dx
limit as x approaches-infinity of 1+e^x	\lim\:_{x\to\:-\infty\:}(1+e^{x})
derivative of y^2+x	\frac{d}{dx}(y^{2}+x)
derivative of (-e^xx+2e^x/((1-x)^2))	\frac{d}{dx}(\frac{-e^{x}x+2e^{x}}{(1-x)^{2}})
taylor sin(3x), pi/3	taylor\:\sin(3x),\frac{π}{3}
(dy)/(dx)= x/(y^2sqrt(1+x))	\frac{dy}{dx}=\frac{x}{y^{2}\sqrt{1+x}}
integral of 2e^{2y}	\int\:2e^{2y}dy
integral from-12 to 0 of 1/(sqrt(4-x))	\int\:_{-12}^{0}\frac{1}{\sqrt{4-x}}dx
(\partial)/(\partial x)(x*arctan(y/x))	\frac{\partial\:}{\partial\:x}(x\cdot\:\arctan(\frac{y}{x}))
integral of (x^2)/((15+6x-9x^2))	\int\:\frac{x^{2}}{(15+6x-9x^{2})}dx
sum from n=1 to infinity of 1/(3^{1/n)}	\sum\:_{n=1}^{\infty\:}\frac{1}{3^{\frac{1}{n}}}
limit as x approaches 3 of sqrt(6x-7)	\lim\:_{x\to\:3}(\sqrt{6x-7})
tangent of f(x)=x^2-8,\at x=7	tangent\:f(x)=x^{2}-8,\at\:x=7
derivative of 8x+6	\frac{d}{dx}(8x+6)
derivative of f(x)=-2x+5	derivative\:f(x)=-2x+5
integral of 1/(y^2-1)	\int\:\frac{1}{y^{2}-1}dy
f(x)=-3/(x^2)	f(x)=-\frac{3}{x^{2}}
integral of sqrt(1+(sinh(x))^2)	\int\:\sqrt{1+(\sinh(x))^{2}}dx
integral of 2e^{-2y}	\int\:2e^{-2y}dy
derivative of e^{{g}(x(x^3)-2})	\frac{d}{dx}(e^{{g}(x)(x^{3})-2})

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