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Popular Calculus Problems

integral of (x^2+6)*e^{(-x)}	\int\:(x^{2}+6)\cdot\:e^{(-x)}dx
(\partial)/(\partial z)(3ze^{xy})	\frac{\partial\:}{\partial\:z}(3ze^{xy})
sum from n=1 to infinity of ((1))/(2n+1)	\sum\:_{n=1}^{\infty\:}\frac{(1)}{2n+1}
(\partial)/(\partial x)(1/(x^2)+1/(y^2))	\frac{\partial\:}{\partial\:x}(\frac{1}{x^{2}}+\frac{1}{y^{2}})
derivative of cotan(3-2x)	\frac{d}{dx}(co\tan(3-2x))
(\partial)/(\partial x)(8z^{y/x})	\frac{\partial\:}{\partial\:x}(8z^{\frac{y}{x}})
(dy)/(dx)=x+6y,y(0)=7	\frac{dy}{dx}=x+6y,y(0)=7
5sqrt(xy)(dy)/(dx)=2	5\sqrt{xy}\frac{dy}{dx}=2
integral of 1/((x+4)^5)	\int\:\frac{1}{(x+4)^{5}}dx
integral of xsqrt(x+7)	\int\:x\sqrt{x+7}dx
limit as x approaches-2+of x	\lim\:_{x\to\:-2+}(x)
derivative of (sin(2x+1)/(2x+1))	\frac{d}{dx}(\frac{\sin(2x+1)}{2x+1})
integral of-x^{-4}	\int\:-x^{-4}dx
integral of t^4	\int\:t^{4}dt
derivative of y=sqrt(x+1)	derivative\:y=\sqrt{x+1}
derivative of f(x)=(x-1)*ln(x-1)	derivative\:f(x)=(x-1)\cdot\:\ln(x-1)
derivative of-e^{x-1}	\frac{d}{dx}(-e^{x-1})
integral of (ln(x)-1)/(ln^2(x))	\int\:\frac{\ln(x)-1}{\ln^{2}(x)}dx
derivative of e^{(2x/2})	\frac{d}{dx}(e^{\frac{2x}{2}})
integral of (cos(2x))/2	\int\:\frac{\cos(2x)}{2}dx
limit as x approaches-2 of (x^2+6)/(x+2)	\lim\:_{x\to\:-2}(\frac{x^{2}+6}{x+2})
integral of ((ln^2(x))/x)	\int\:(\frac{\ln^{2}(x)}{x})dx
derivative of f(x)=6-x^2	derivative\:f(x)=6-x^{2}
integral of (7+x)/x	\int\:\frac{7+x}{x}dx
derivative of sqrt(x)-cos(x)	\frac{d}{dx}(\sqrt{x}-\cos(x))
derivative of (x-4ln(x/4))	\frac{d}{dx}((x-4)\ln(\frac{x}{4}))
derivative of f(x)=x^2-2	derivative\:f(x)=x^{2}-2
derivative of f(x)=6xsin(pix)	derivative\:f(x)=6x\sin(πx)
derivative of 6csc(x)	\frac{d}{dx}(6\csc(x))
y^'=1+e^{x-y+8}	y^{\prime\:}=1+e^{x-y+8}
f(x)=cos(x)+sin(x)	f(x)=\cos(x)+\sin(x)
inverse oflaplace 1/(s((s+2)^2+2))	inverselaplace\:\frac{1}{s((s+2)^{2}+2)}
(\partial)/(\partial y)(4xy+3)	\frac{\partial\:}{\partial\:y}(4xy+3)
tangent of y=12xsin(x),(pi/2 ,6pi)	tangent\:y=12x\sin(x),(\frac{π}{2},6π)
integral of (e^{5x}+8e^{-x})	\int\:(e^{5x}+8e^{-x})dx
integral from 0 to pi/2 of (cos(x))^3	\int\:_{0}^{\frac{π}{2}}(\cos(x))^{3}dx
tangent of y= 3/x ,(-5,-3/5)	tangent\:y=\frac{3}{x},(-5,-\frac{3}{5})
tangent of y=x^{sqrt(x)},(4,16)	tangent\:y=x^{\sqrt{x}},(4,16)
derivative of e^{sqrt(ln(x^2)})	\frac{d}{dx}(e^{\sqrt{\ln(x^{2})}})
derivative of sqrt(-x^2+4)	\frac{d}{dx}(\sqrt{-x^{2}+4})
derivative of 4^x-2^x	derivative\:4^{x}-2^{x}
(\partial)/(\partial x)(2x^2+9y^2+3)	\frac{\partial\:}{\partial\:x}(2x^{2}+9y^{2}+3)
derivative of \|2x^3+4x-2\|	\frac{d}{dx}(\left\|2x^{3}+4x-2\right\|)
derivative of 4x^3-16x	derivative\:4x^{3}-16x
(dx)/(dt)-4x=cos(4t)	\frac{dx}{dt}-4x=\cos(4t)
integral of 8sin(-2t+7)	\int\:8\sin(-2t+7)dt
slope ofintercept (-3)(0.1)	slopeintercept\:(-3)(0.1)
f(t)=e^tsin(t)	f(t)=e^{t}\sin(t)
area 5x,x^2-6,0	area\:5x,x^{2}-6,0
slope of (-1,6),(2,-6)	slope\:(-1,6),(2,-6)
(\partial)/(\partial x)((2+x)(y-x))	\frac{\partial\:}{\partial\:x}((2+x)(y-x))
taylor f(x)=cos(x)	taylor\:f(x)=\cos(x)
f(x)=5tan(5x)	f(x)=5\tan(5x)
integral of x^2-16x+64	\int\:x^{2}-16x+64dx
integral from 0.1 to 0.2 of 400x	\int\:_{0.1}^{0.2}400xdx
integral from 0 to ln(3) of e^x-e^{-2x}	\int\:_{0}^{\ln(3)}e^{x}-e^{-2x}dx
(dy)/(dx)+2/x y=6x^4y^2	\frac{dy}{dx}+\frac{2}{x}y=6x^{4}y^{2}
(dy)/(dx)= y/(x+2y)	\frac{dy}{dx}=\frac{y}{x+2y}
derivative of 4e^{x+4}+1	derivative\:4e^{x+4}+1
limit as x approaches infinity+of f(x)	\lim\:_{x\to\:\infty\:+}(f(x))
parity f(x)=,x	parity\:f(x)=,x
integral of e^{-x}sin(5x)	\int\:e^{-x}\sin(5x)dx
tangent of y=(sqrt(x))/(x+5),(4, 2/9)	tangent\:y=\frac{\sqrt{x}}{x+5},(4,\frac{2}{9})
y^'+y^2sin(t)=0	y^{\prime\:}+y^{2}\sin(t)=0
integral of e^{-10t}	\int\:e^{-10t}dt
(\partial)/(\partial y)(x^2+y^3)	\frac{\partial\:}{\partial\:y}(x^{2}+y^{3})
derivative of (1-4x/(5+x))	\frac{d}{dx}(\frac{1-4x}{5+x})
derivative of sqrt(3x^2-4x+6)	\frac{d}{dx}(\sqrt{3x^{2}-4x+6})
limit as y approaches-3 of y	\lim\:_{y\to\:-3}(y)
integral of-e^{-2y}	\int\:-e^{-2y}dy
(dy)/(dx)=2x-3y,y(0)= 1/3	\frac{dy}{dx}=2x-3y,y(0)=\frac{1}{3}
integral of (x^3)/(sqrt(16x^2+256))	\int\:\frac{x^{3}}{\sqrt{16x^{2}+256}}dx
integral from 0 to 2pi of sin^2(14x)	\int\:_{0}^{2π}\sin^{2}(14x)dx
integral of (3x-1)^{1/8}	\int\:(3x-1)^{\frac{1}{8}}dx
(\partial)/(\partial x)(e^y+ye^x)	\frac{\partial\:}{\partial\:x}(e^{y}+ye^{x})
derivative of (x+3/(x-4))	\frac{d}{dx}(\frac{x+3}{x-4})
derivative of y=(9x^2+8)/(x^2+1)	derivative\:y=\frac{9x^{2}+8}{x^{2}+1}
integral of ((6x^5-3x^2+4)/(x^2))	\int\:(\frac{6x^{5}-3x^{2}+4}{x^{2}})dx
derivative of e^{sin(x})	\frac{d}{dx}(e^{\sin(x)})
-(2dy)/(dx)+6x^2=0	-\frac{2dy}{dx}+6x^{2}=0
integral of 6x^2(2x^3-5)^5	\int\:6x^{2}(2x^{3}-5)^{5}dx
derivative of 4(1-x^{-2})	\frac{d}{dx}(4(1-x)^{-2})
derivative of sqrt(e^{-x)}	\frac{d}{dx}(\sqrt{e^{-x}})
(\partial)/(\partial x)(-3e^{3y}sin(3x))	\frac{\partial\:}{\partial\:x}(-3e^{3y}\sin(3x))
area x=y^2,x=y+2[0,4]	area\:x=y^{2},x=y+2[0,4]
derivative of x^5+x^7+x^9	\frac{d}{dx}(x^{5}+x^{7}+x^{9})
limit as x approaches+2 of 3x-9	\lim\:_{x\to\:+2}(3x-9)
integral of sqrt(x^2+4x+13)	\int\:\sqrt{x^{2}+4x+13}dx
area y=5cos(x),y=5sin(x)	area\:y=5\cos(x),y=5\sin(x)
integral of-2/(x+2)	\int\:-\frac{2}{x+2}dx
(\partial)/(\partial x)(x^2y^2-x)	\frac{\partial\:}{\partial\:x}(x^{2}y^{2}-x)
integral of sin^2(4x)*cos^3(4x)	\int\:\sin^{2}(4x)\cdot\:\cos^{3}(4x)dx
derivative of ln^2(3*3^x)	\frac{d}{dx}(\ln^{2}(3)\cdot\:3^{x})
limit as x approaches 2 of (3x-2)/(1-2x)	\lim\:_{x\to\:2}(\frac{3x-2}{1-2x})
x(dv}{dx}=2v+\frac{10)/v	x\frac{dv}{dx}=2v+\frac{10}{v}
limit as x approaches 7 of x^2-4x+18	\lim\:_{x\to\:7}(x^{2}-4x+18)
integral of (1x)/2	\int\:\frac{1x}{2}dx
integral of (x/(sqrt(x^2+y^2)))	\int\:(\frac{x}{\sqrt{x^{2}+y^{2}}})dx
integral of 4x+7	\int\:4x+7dx
integral of (3x+9)/(x^2-4x-5)	\int\:\frac{3x+9}{x^{2}-4x-5}dx

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