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Popular Calculus Problems
derivative of f(x)=(6x+5)(x^3-2)
derivative\:f(x)=(6x+5)(x^{3}-2)
limit as x approaches 0 of x^3sin(x)
\lim\:_{x\to\:0}(x^{3}\sin(x))
derivative of f(x)=x^4-12x^3+3
derivative\:f(x)=x^{4}-12x^{3}+3
integral of 8sin^3(x)cos(x)
\int\:8\sin^{3}(x)\cos(x)dx
(\partial)/(\partial x)(xyln(xy))
\frac{\partial\:}{\partial\:x}(xy\ln(xy))
(xdy)/(dx)=-y+2x^2y,y(1)=1
\frac{xdy}{dx}=-y+2x^{2}y,y(1)=1
limit as y approaches 2 of sqrt(4y^2-2y)
\lim\:_{y\to\:2}(\sqrt{4y^{2}-2y})
integral from 0 to-0.3 of 300x
\int\:_{0}^{-0.3}300xdx
tangent of f(x)=e^{2x},\at x= 1/2 ln(3)
tangent\:f(x)=e^{2x},\at\:x=\frac{1}{2}\ln(3)
limit as x approaches 3 of 2x+|x-3|
\lim\:_{x\to\:3}(2x+\left|x-3\right|)
x^2y^{''}+xy^'+9y=10x
x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}+9y=10x
slope of y=x^3+2
slope\:y=x^{3}+2
derivative of sqrt(sin(x))
derivative\:\sqrt{\sin(x)}
implicit (dy)/(dx),e^{x/y}=x-y
implicit\:\frac{dy}{dx},e^{\frac{x}{y}}=x-y
integral of 9y
\int\:9ydy
integral of 2/3 x^{-1/3}
\int\:\frac{2}{3}x^{-\frac{1}{3}}dx
volumeabout y=0,y=ln(x),y=0,[1,2]
volumeabout\:y=0,y=\ln(x),y=0,[1,2]
(dy)/(dx)=-9.81+0.00375y^2
\frac{dy}{dx}=-9.81+0.00375y^{2}
laplacetransform e^{-3t}cos(-t)
laplacetransform\:e^{-3t}\cos(-t)
integral of 5u^{3/2}
\int\:5u^{\frac{3}{2}}du
derivative of (2x-6/(4-x))
\frac{d}{dx}(\frac{2x-6}{4-x})
derivative of 9/(sqrt(x+4))
\frac{d}{dx}(\frac{9}{\sqrt{x+4}})
derivative of log_{6}(cot(8x))
\frac{d}{dx}(\log_{6}(\cot(8x)))
limit as x approaches 0 of (tan(3x)-sin(3x))/(x^3)
\lim\:_{x\to\:0}(\frac{\tan(3x)-\sin(3x)}{x^{3}})
derivative of (x^3)/(6x-3)
derivative\:\frac{x^{3}}{6x-3}
area 3x^2+4,[1,2]
area\:3x^{2}+4,[1,2]
derivative of 160+3.2x-0.03x^2
derivative\:160+3.2x-0.03x^{2}
derivative of (e^{2x}+e^{-2x}/4)
\frac{d}{dx}(\frac{e^{2x}+e^{-2x}}{4})
derivative of 3x^2-8x
\frac{d}{dx}(3x^{2}-8x)
sum from n=0 to infinity of 2/3 n(1/3)^n
\sum\:_{n=0}^{\infty\:}\frac{2}{3}n(\frac{1}{3})^{n}
normal of y=x^4+9e^x,(0,5)
normal\:y=x^{4}+9e^{x},(0,5)
limit as x approaches 81 of ((sqrt(x)-9))/(x-81)
\lim\:_{x\to\:81}(\frac{(\sqrt{x}-9)}{x-81})
sum from n=1 to infinity of 2(-1/2)^n
\sum\:_{n=1}^{\infty\:}2(-\frac{1}{2})^{n}
derivative of (27/x)
\frac{d}{dx}(\frac{27}{x})
derivative of 3pix
\frac{d}{dx}(3πx)
integral of tan(4x+1)
\int\:\tan(4x+1)dx
integral of (3t-1)^3
\int\:(3t-1)^{3}dt
integral of (cos^2(y))/(1-sin(y))
\int\:\frac{\cos^{2}(y)}{1-\sin(y)}dy
integral of 3cos(x)
\int\:3\cos(x)dx
integral of ((x^2)/(sqrt(9-x^2)))
\int\:(\frac{x^{2}}{\sqrt{9-x^{2}}})dx
derivative of ((2x^3+ax+a)/(x^2-1))
\frac{d}{dx}(\frac{(2x^{3}+ax+a)}{x^{2}-1})
integral of 4x^2e^{x^3}
\int\:4x^{2}e^{x^{3}}dx
derivative of (x^2/(8-8x))
\frac{d}{dx}(\frac{x^{2}}{8-8x})
limit as x approaches 0 of sin(x)+cos(x)
\lim\:_{x\to\:0}(\sin(x)+\cos(x))
derivative of y=(x^3+8)/x
derivative\:y=\frac{x^{3}+8}{x}
f(u)= 1/u
f(u)=\frac{1}{u}
derivative of g(x)=tan(2x)*sin(2x)
derivative\:g(x)=\tan(2x)\cdot\:\sin(2x)
derivative of y=sqrt(2x-x^2)
derivative\:y=\sqrt{2x-x^{2}}
d/(dθ)(2+2sin(θ))
\frac{d}{dθ}(2+2\sin(θ))
integral of cos^2(pit)sin(pit)
\int\:\cos^{2}(πt)\sin(πt)dt
derivative of (3x/(x+1))
\frac{d}{dx}(\frac{3x}{x+1})
derivative of x^2e^{-7x}
derivative\:x^{2}e^{-7x}
area y=5x,y= 5/x ,x=5
area\:y=5x,y=\frac{5}{x},x=5
derivative of cos(tan(6x))
\frac{d}{dx}(\cos(\tan(6x)))
limit as x approaches infinity of csc(1/x)-cot(1/x)
\lim\:_{x\to\:\infty\:}(\csc(\frac{1}{x})-\cot(\frac{1}{x}))
y^{''}-14y^'+74y=0
y^{\prime\:\prime\:}-14y^{\prime\:}+74y=0
integral of 5xln(2x)
\int\:5x\ln(2x)dx
derivative of 2^{x/2}
\frac{d}{dx}(2^{\frac{x}{2}})
tangent of-1/x ,\at x=3
tangent\:-\frac{1}{x},\at\:x=3
derivative of 1/(2sqrt(x+4))
\frac{d}{dx}(\frac{1}{2\sqrt{x+4}})
derivative of ln(sqrt((4x+1)/(x^2-1)))
derivative\:\ln(\sqrt{\frac{4x+1}{x^{2}-1}})
integral from 0 to 5 of w/(w-2)
\int\:_{0}^{5}\frac{w}{w-2}dw
limit as x approaches 0 of 3xcos(x)
\lim\:_{x\to\:0}(3x\cos(x))
derivative of (1+e^x/(1-e^x))
\frac{d}{dx}(\frac{1+e^{x}}{1-e^{x}})
integral of (x+3)^{-1/2}
\int\:(x+3)^{-\frac{1}{2}}dx
derivative of ze^z
derivative\:ze^{z}
(\partial)/(\partial x)((x^2-1)*(y+2))
\frac{\partial\:}{\partial\:x}((x^{2}-1)\cdot\:(y+2))
derivative of-2e^{3x}
\frac{d}{dx}(-2e^{3x})
y^'=(e^{x-y})/(1+e^x)
y^{\prime\:}=\frac{e^{x-y}}{1+e^{x}}
tangent of y=x^4-4x^3+2
tangent\:y=x^{4}-4x^{3}+2
integral of (-e^{-st})/s
\int\:\frac{-e^{-st}}{s}dt
integral of ln(9x)
\int\:\ln(9x)dx
integral of x^3(1-x^2)^{1/2}
\int\:x^{3}(1-x^{2})^{\frac{1}{2}}dx
integral of (2x-1)e^{2x}
\int\:(2x-1)e^{2x}dx
(\partial)/(\partial x)(x*e^{x^3y})
\frac{\partial\:}{\partial\:x}(x\cdot\:e^{x^{3}y})
ydy+(1+y^2)sin(t)dt=0
ydy+(1+y^{2})\sin(t)dt=0
derivative of esqrt(x)
\frac{d}{dx}(e\sqrt{x})
tangent of y=1+sqrt(x)
tangent\:y=1+\sqrt{x}
integral of 14tan^3(x)sec(x)
\int\:14\tan^{3}(x)\sec(x)dx
limit as x approaches 0+of x^{x^{1/2}}
\lim\:_{x\to\:0+}(x^{x^{\frac{1}{2}}})
integral of xsin(3x)
\int\:x\sin(3x)dx
area y=2cos(x),y=6-4cos(x),0<= x<= 2pi
area\:y=2\cos(x),y=6-4\cos(x),0\le\:x\le\:2π
(\partial)/(\partial x)(4-2x^2-y^2)
\frac{\partial\:}{\partial\:x}(4-2x^{2}-y^{2})
derivative of e^{-bx^2}
\frac{d}{dx}(e^{-bx^{2}})
derivative of cot(4x^2)
\frac{d}{dx}(\cot(4x^{2}))
integral of 1/(100-y)
\int\:\frac{1}{100-y}dy
(\partial)/(\partial x)(e^{x-2}-y/2)
\frac{\partial\:}{\partial\:x}(e^{x-2}-\frac{y}{2})
derivative of (sin(x)/(3x))
\frac{d}{dx}(\frac{\sin(x)}{3x})
integral of 1.5x^2
\int\:1.5x^{2}dx
derivative of (pix)/(16)
derivative\:\frac{πx}{16}
integral of t^{-1/2}
\int\:t^{-\frac{1}{2}}dt
integral of 1/(sqrt(x^2-256))
\int\:\frac{1}{\sqrt{x^{2}-256}}dx
derivative of 20
\frac{d}{dx}(20)
y^'=(y^2)/(x^2)+y/x
y^{\prime\:}=\frac{y^{2}}{x^{2}}+\frac{y}{x}
derivative of (arctan(9x))^2
derivative\:(\arctan(9x))^{2}
derivative of ln(sinh(x))
\frac{d}{dx}(\ln(\sinh(x)))
maclaurin (1-x)^{-1/2}
maclaurin\:(1-x)^{-\frac{1}{2}}
f(x)=x^2e^{2x}
f(x)=x^{2}e^{2x}
(cos(2x))^'
(\cos(2x))^{\prime\:}
derivative of 2*x
\frac{d}{dx}(2\cdot\:x)
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