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Popular Calculus Problems

derivative of x^5-2x^3+x-1	\frac{d}{dx}(x^{5}-2x^{3}+x-1)
area y=-11x+3,y=-x,[0,0.3]	area\:y=-11x+3,y=-x,[0,0.3]
derivative of 3/(4x)	derivative\:\frac{3}{4x}
integral of sin^2(3θ)	\int\:\sin^{2}(3θ)dθ
integral of-3/x+3e^x	\int\:-\frac{3}{x}+3e^{x}dx
integral of ((sin(x))/(2e^x))	\int\:(\frac{\sin(x)}{2e^{x}})dx
y^'=5y^2+xy^2	y^{\prime\:}=5y^{2}+xy^{2}
derivative of 1/2 ln(1+x^2)	derivative\:\frac{1}{2}\ln(1+x^{2})
limit as n approaches infinity of n^{-2}e^{3n}	\lim\:_{n\to\:\infty\:}(n^{-2}e^{3n})
slope of (-2,-4),(2,2)	slope\:(-2,-4),(2,2)
slope of 2x^2+4x-7	slope\:2x^{2}+4x-7
integral of 1/(4u^2+9)	\int\:\frac{1}{4u^{2}+9}du
derivative of 1-3cos(x)	\frac{d}{dx}(1-3\cos(x))
limit as x approaches-5 of sqrt(25-x^2)	\lim\:_{x\to\:-5}(\sqrt{25-x^{2}})
limit as x approaches pi/3 of 1/(cot(x))	\lim\:_{x\to\:\frac{π}{3}}(\frac{1}{\cot(x)})
derivative of x^2+4x+8	derivative\:x^{2}+4x+8
(\partial)/(\partial x)(x^2+yz)	\frac{\partial\:}{\partial\:x}(x^{2}+yz)
x(dy}{dx}+\frac{y^2)/x =y	x\frac{dy}{dx}+\frac{y^{2}}{x}=y
(\partial)/(\partial y)(3x^2y^2-3)	\frac{\partial\:}{\partial\:y}(3x^{2}y^{2}-3)
integral from 1 to 7 of 3x^2+1/(12x^2)	\int\:_{1}^{7}3x^{2}+\frac{1}{12x^{2}}dx
derivative of ln^2(1+x)	\frac{d}{dx}(\ln^{2}(1+x))
y^'=2y-1	y^{\prime\:}=2y-1
derivative of x^{4/3}(2-x^3)	\frac{d}{dx}(x^{\frac{4}{3}}(2-x)^{3})
integral of (sqrt(49-x^2))/(x^4)	\int\:\frac{\sqrt{49-x^{2}}}{x^{4}}dx
(d^3)/(dx^3)(x^6e^x)	\frac{d^{3}}{dx^{3}}(x^{6}e^{x})
tangent of f(x)=(6x+5)/(x-1),\at x=2	tangent\:f(x)=\frac{6x+5}{x-1},\at\:x=2
limit as t approaches 2 of (t-2)/(t^2-4)	\lim\:_{t\to\:2}(\frac{t-2}{t^{2}-4})
integral of 19tan^2(x)sec^3(x)	\int\:19\tan^{2}(x)\sec^{3}(x)dx
(\partial)/(\partial x)(4x^3+2xy+1)	\frac{\partial\:}{\partial\:x}(4x^{3}+2xy+1)
integral of x^2csc^2(x^3)	\int\:x^{2}\csc^{2}(x^{3})dx
limit as x approaches infinity of (an+1)/(an)	\lim\:_{x\to\:\infty\:}(\frac{an+1}{an})
integral from 0 to 1 of y-y^2	\int\:_{0}^{1}y-y^{2}dy
derivative of f(x)=tan(ln(ax+b))	derivative\:f(x)=\tan(\ln(ax+b))
(\partial)/(\partial x)(y+sin(x))	\frac{\partial\:}{\partial\:x}(y+\sin(x))
derivative of 8e^{3x}	derivative\:8e^{3x}
integral of+(2x+1)/((x+5)^3)	\int\:+\frac{2x+1}{(x+5)^{3}}dx
x*(dy)/(dx)+5y=7x^2	x\cdot\:\frac{dy}{dx}+5y=7x^{2}
derivative of 1/(\sqrt[3]{x^2+x+3})	\frac{d}{dx}(\frac{1}{\sqrt[3]{x^{2}+x+3}})
d/(dy)(x-y^3+y^2sin(x))	\frac{d}{dy}(x-y^{3}+y^{2}\sin(x))
derivative of x^3+5	derivative\:x^{3}+5
limit as y approaches-3 of (5-y)^{4/3}	\lim\:_{y\to\:-3}((5-y)^{\frac{4}{3}})
f(x)=sqrt((x^2+1)/(x^2+4))	f(x)=\sqrt{\frac{x^{2}+1}{x^{2}+4}}
derivative of sqrt(1+9x)	\frac{d}{dx}(\sqrt{1+9x})
derivative of a^8+cos^8(x)	derivative\:a^{8}+\cos^{8}(x)
integral of (3x^5-2x^3+5x^2-2)/(x^3+1)	\int\:\frac{3x^{5}-2x^{3}+5x^{2}-2}{x^{3}+1}dx
limit as x approaches 4 of (3x)/4+2	\lim\:_{x\to\:4}(\frac{3x}{4}+2)
derivative of (x^2-3^3)	\frac{d}{dx}((x^{2}-3)^{3})
derivative of f(x)=(x-2)(5x+3)	derivative\:f(x)=(x-2)(5x+3)
tangent of f(x)= 1/x ,\at x=-1	tangent\:f(x)=\frac{1}{x},\at\:x=-1
integral from 0 to 1 of ((x^4+4))/x	\int\:_{0}^{1}\frac{(x^{4}+4)}{x}dx
limit as x approaches 0+of (x)^{sqrt(x)}	\lim\:_{x\to\:0+}((x)^{\sqrt{x}})
limit as x approaches 3 of-9	\lim\:_{x\to\:3}(-9)
derivative of u/v	\frac{d}{dx}(\frac{u}{v})
derivative of f(x)= 8/(x^2)	derivative\:f(x)=\frac{8}{x^{2}}
integral from 0 to 80 of (317)/(903*80)	\int\:_{0}^{80}\frac{317}{903\cdot\:80}
integral of 1/(y+2)	\int\:\frac{1}{y+2}dy
(\partial)/(\partial y)(-2xysin(x^2y))	\frac{\partial\:}{\partial\:y}(-2xy\sin(x^{2}y))
limit as x approaches-5 of (\|x-5\|)/(x-5)	\lim\:_{x\to\:-5}(\frac{\left\|x-5\right\|}{x-5})
integral from 0 to 4 of (2v+5)(3v-1)	\int\:_{0}^{4}(2v+5)(3v-1)dv
integral of (x^2)/(sqrt(6x^2-49))	\int\:\frac{x^{2}}{\sqrt{6x^{2}-49}}dx
tangent of f(x)=x^2-6,(-4,10)	tangent\:f(x)=x^{2}-6,(-4,10)
integral of (x^{-3})	\int\:(x^{-3})dx
(dy)/(dt)=t^2e^{-4t}-4y	\frac{dy}{dt}=t^{2}e^{-4t}-4y
tangent of 7xy^3+5xy=12,\at x=1	tangent\:7xy^{3}+5xy=12,\at\:x=1
(2x+3)+(2y-2)y^'=0	(2x+3)+(2y-2)y^{\prime\:}=0
integral of x^2sqrt(x-3)	\int\:x^{2}\sqrt{x-3}dx
derivative of x^3-2x^2+4	\frac{d}{dx}(x^{3}-2x^{2}+4)
limit as x approaches 0 of (3sin(x))/x	\lim\:_{x\to\:0}(\frac{3\sin(x)}{x})
maclaurin 1/(2+x)	maclaurin\:\frac{1}{2+x}
limit as x approaches 8 of (1+\sqrt[3]{x})(2-6x^2+x^2)	\lim\:_{x\to\:8}((1+\sqrt[3]{x})(2-6x^{2}+x^{2}))
integral of ((x^2+5x+4))/(x^2-2x+1)	\int\:\frac{(x^{2}+5x+4)}{x^{2}-2x+1}dx
area y=x,y=5x-x^2	area\:y=x,y=5x-x^{2}
derivative of-2+2(-1^x)	\frac{d}{dx}(-2+2(-1)^{x})
derivative of (-2nx^{n-1})/((1+x^n)^2)	derivative\:\frac{-2nx^{n-1}}{(1+x^{n})^{2}}
(\partial)/(\partial y)(5xe^{x^2+y^2})	\frac{\partial\:}{\partial\:y}(5xe^{x^{2}+y^{2}})
derivative of (dy/(dx))=y	\frac{d}{dx}(\frac{dy}{dx})=y
derivative of ln(K/x)	\frac{d}{dx}(\ln(\frac{K}{x}))
integral of e^{-15x}	\int\:e^{-15x}dx
inverse oflaplace 1/(s^2+7)	inverselaplace\:\frac{1}{s^{2}+7}
integral of (sqrt(n)+3)^3	\int\:(\sqrt{n}+3)^{3}dn
integral of ln^2(x-9)	\int\:\ln^{2}(x-9)dx
simplify ln(x^2)-1/(x^2)-5	simplify\:\ln(x^{2})-\frac{1}{x^{2}}-5
tangent of y^3=126-x^3,\at x=5	tangent\:y^{3}=126-x^{3},\at\:x=5
derivative of 2^3e^2	\frac{d}{dx}(2^{3}e^{2})
integral of (x^2)/(sqrt(ax^2-b))	\int\:\frac{x^{2}}{\sqrt{ax^{2}-b}}dx
derivative of arctan^2(6x)	\frac{d}{dx}(\arctan^{2}(6x))
y^{''}-12y^'+100y=0	y^{\prime\:\prime\:}-12y^{\prime\:}+100y=0
y^'=5y+e^{-2x}y^{-2},y(0)=2	y^{\prime\:}=5y+e^{-2x}y^{-2},y(0)=2
derivative of f(x)=x^{10}e^x	derivative\:f(x)=x^{10}e^{x}
derivative of 3^{(x^5)}	derivative\:3^{(x^{5})}
sum from n=0 to infinity of sqrt(1+n)	\sum\:_{n=0}^{\infty\:}\sqrt{1+n}
y^'+2y=4,y(0)=4	y^{\prime\:}+2y=4,y(0)=4
derivative of 1/2 tan(x)	\frac{d}{dx}(\frac{1}{2}\tan(x))
integral from 6 to 8 of (50)/((x-6)^3)	\int\:_{6}^{8}\frac{50}{(x-6)^{3}}dx
limit as x approaches 0 of 9/(x^2)	\lim\:_{x\to\:0}(\frac{9}{x^{2}})
derivative of 0.45*sin((2pit)/(3.7))	derivative\:0.45\cdot\:\sin(\frac{2πt}{3.7})
integral of sin^4(θ)cos(θ)	\int\:\sin^{4}(θ)\cos(θ)dθ
derivative of-(12/(x^5))	\frac{d}{dx}(-\frac{12}{x^{5}})
limit as x approaches 0 of sin((2pi)/x)	\lim\:_{x\to\:0}(\sin(\frac{2π}{x}))
integral of sqrt((6+x)/(6-x))	\int\:\sqrt{\frac{6+x}{6-x}}dx

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