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Popular Calculus Problems
derivative of f(x)= 2/(x-1)
derivative\:f(x)=\frac{2}{x-1}
inverse oflaplace-5/(s(50+20s))
inverselaplace\:-\frac{5}{s(50+20s)}
derivative of ln((1-x^2/(1+x^2)))
\frac{d}{dx}(\ln(\frac{1-x^{2}}{1+x^{2}}))
integral of x/((x^2+1)^{9/2)}
\int\:\frac{x}{(x^{2}+1)^{\frac{9}{2}}}dx
laplacetransform-4(t-1)
laplacetransform\:-4(t-1)
integral from 0 to 2 of e^{5x}
\int\:_{0}^{2}e^{5x}dx
limit as x approaches 0 of (x+1)/x
\lim\:_{x\to\:0}(\frac{x+1}{x})
integral of (10x^2-9x+4)/(x^3+4x)
\int\:\frac{10x^{2}-9x+4}{x^{3}+4x}dx
derivative of (7x^2/((x^2+x)^3))
\frac{d}{dx}(\frac{7x^{2}}{(x^{2}+x)^{3}})
sum from n=0 to infinity of (x^n)/(3+2x)
\sum\:_{n=0}^{\infty\:}\frac{x^{n}}{3+2x}
(\partial)/(\partial x)(ln(x^2+y^2+3))
\frac{\partial\:}{\partial\:x}(\ln(x^{2}+y^{2}+3))
maclaurin 4sin(x)
maclaurin\:4\sin(x)
inverse oflaplace 5/(s+5)
inverselaplace\:\frac{5}{s+5}
inverse oflaplace (2s+1)/(s^2+2s+10)
inverselaplace\:\frac{2s+1}{s^{2}+2s+10}
integral of 8/(5tsqrt(25t^2-25))
\int\:\frac{8}{5t\sqrt{25t^{2}-25}}dt
derivative of (x^2-2x-3/(x+2))
\frac{d}{dx}(\frac{x^{2}-2x-3}{x+2})
integral of sin^2(v)
\int\:\sin^{2}(v)dv
limit as x approaches 0 of (5/6)^{1/6}
\lim\:_{x\to\:0}((\frac{5}{6})^{\frac{1}{6}})
y^'-xyy=2xy
y^{\prime\:}-xyy=2xy
integral from-1 to 1 of 1/((1+x^2))
\int\:_{-1}^{1}\frac{1}{(1+x^{2})}dx
integral of 2/((x+2)^2(2-x))
\int\:\frac{2}{(x+2)^{2}(2-x)}dx
-12x^2y+y^'=-8x^2
-12x^{2}y+y^{\prime\:}=-8x^{2}
y^{''}+2y^'+y=sin(2x)
y^{\prime\:\prime\:}+2y^{\prime\:}+y=\sin(2x)
(\partial)/(\partial x)(x-2y^2)
\frac{\partial\:}{\partial\:x}(x-2y^{2})
derivative of {r}(θ,xcos(θ))
\frac{d}{dx}({r}(θ,x)\cos(θ))
integral of (2x+3)^2
\int\:(2x+3)^{2}dx
derivative of sin(u)
derivative\:\sin(u)
derivative of y=sqrt(1+e^x)
derivative\:y=\sqrt{1+e^{x}}
derivative of-(2x)/((x^2+1)^2)
derivative\:-\frac{2x}{(x^{2}+1)^{2}}
y^{''}+2y^'+3/4 y= 3/4
y^{\prime\:\prime\:}+2y^{\prime\:}+\frac{3}{4}y=\frac{3}{4}
integral of x^3cos(2x)
\int\:x^{3}\cos(2x)dx
derivative of (e^x+e^{-x})/2
derivative\:\frac{e^{x}+e^{-x}}{2}
integral of (6e^{5x}-7/x)
\int\:(6e^{5x}-\frac{7}{x})dx
derivative of (6x-3/(x-3))
\frac{d}{dx}(\frac{6x-3}{x-3})
integral of sin(6t)
\int\:\sin(6t)dt
derivative of (sin(0.5sqrt(x))/x)
\frac{d}{dx}(\frac{\sin(0.5\sqrt{x})}{x})
integral of-(2000x)/((1+x^2))
\int\:-\frac{2000x}{(1+x^{2})}dx
limit as x approaches 0+of sinh(x)cot(x)
\lim\:_{x\to\:0+}(\sinh(x)\cot(x))
tangent of x^2,\at x=2
tangent\:x^{2},\at\:x=2
(\partial)/(\partial x)((4-x^2y)/(2x))
\frac{\partial\:}{\partial\:x}(\frac{4-x^{2}y}{2x})
(\partial)/(\partial x)(3xy^2+20x^2y^3)
\frac{\partial\:}{\partial\:x}(3xy^{2}+20x^{2}y^{3})
y^{''}+2y^'+2y=0,y(pi/4)=2,y^'(pi/4)=-2
y^{\prime\:\prime\:}+2y^{\prime\:}+2y=0,y(\frac{π}{4})=2,y^{\prime\:}(\frac{π}{4})=-2
integral of (3x^2+17x+32)/(x^3+8x^2+16x)
\int\:\frac{3x^{2}+17x+32}{x^{3}+8x^{2}+16x}dx
y^{''}=1+(y^')^2
y^{\prime\:\prime\:}=1+(y^{\prime\:})^{2}
integral of (x+1)\sqrt[3]{x+2}
\int\:(x+1)\sqrt[3]{x+2}dx
(d^4)/(dx^4)(11e^{x^2})
\frac{d^{4}}{dx^{4}}(11e^{x^{2}})
integral from 0 to 5 of ln(1+x)
\int\:_{0}^{5}\ln(1+x)dx
derivative of 2x^3-7x^2+3x-2
\frac{d}{dx}(2x^{3}-7x^{2}+3x-2)
derivative of (x-10)/(sqrt(x)-\sqrt{10)}
derivative\:\frac{x-10}{\sqrt{x}-\sqrt{10}}
derivative of (7+2xe^{-3x})
\frac{d}{dx}((7+2x)e^{-3x})
t^2y^{''}+2ty^'-1=0
t^{2}y^{\prime\:\prime\:}+2ty^{\prime\:}-1=0
derivative of 10x(x^2+5^4)
\frac{d}{dx}(10x(x^{2}+5)^{4})
limit as x approaches 0+of ((e^x-1)/x)^{1/x}
\lim\:_{x\to\:0+}((\frac{e^{x}-1}{x})^{\frac{1}{x}})
integral from 2 to 5 of (sqrt(x)-2)^2
\int\:_{2}^{5}(\sqrt{x}-2)^{2}dx
integral from 0 to 5 of (40)/(x^2+25)
\int\:_{0}^{5}\frac{40}{x^{2}+25}dx
limit as x approaches infinity of 2/x-3
\lim\:_{x\to\:\infty\:}(\frac{2}{x}-3)
derivative of 1/(1+e^{-x)}
derivative\:\frac{1}{1+e^{-x}}
integral of (2x+1)/(x^2+2x+82)
\int\:\frac{2x+1}{x^{2}+2x+82}dx
limit as x approaches 2 of 4x^2
\lim\:_{x\to\:2}(4x^{2})
derivative of e^{x^2-4}+4x+11
\frac{d}{dx}(e^{x^{2}-4}+4x+11)
integral of xe^{(-2x)}
\int\:xe^{(-2x)}dx
integral of (ln(7x))^2
\int\:(\ln(7x))^{2}dx
integral from 0 to x^2 of e^{t^2}
\int\:_{0}^{x^{2}}e^{t^{2}}dt
limit as t approaches 2 of (t+2)/(t^2-4)
\lim\:_{t\to\:2}(\frac{t+2}{t^{2}-4})
limit as x approaches infinity of-2x-1
\lim\:_{x\to\:\infty\:}(-2x-1)
tangent of f(x)= 2/(x-8),\at x=10
tangent\:f(x)=\frac{2}{x-8},\at\:x=10
integral of 22sec^4(θ)tan^2(θ)
\int\:22\sec^{4}(θ)\tan^{2}(θ)dθ
slope of (4.1)(1.1)
slope\:(4.1)(1.1)
limit as x approaches pi/3 of 2sin^2(x)
\lim\:_{x\to\:\frac{π}{3}}(2\sin^{2}(x))
derivative of 3tan(pi-x)
\frac{d}{dx}(3\tan(π-x))
derivative of (x^3e^x/(sqrt(x)))
\frac{d}{dx}(\frac{x^{3}e^{x}}{\sqrt{x}})
d/(d{y)}(({x}ln(({x)/y)/({z)})}{{z}})
\frac{d}{d{y}}(\frac{{x}\ln(\frac{{x}{y}}{{z}})}{{z}})
4((dy)/(dx))-(y)+0.01x=0
4(\frac{dy}{dx})-(y)+0.01x=0
derivative of 12sqrt(x)-2x
derivative\:12\sqrt{x}-2x
integral of-1/k cos(kx)
\int\:-\frac{1}{k}\cos(kx)dx
area y=x^2-35,y=13-2x
area\:y=x^{2}-35,y=13-2x
(\partial)/(\partial y)(6ye^{2xy}+x)
\frac{\partial\:}{\partial\:y}(6ye^{2xy}+x)
limit as x approaches 0-of x/(|x|)
\lim\:_{x\to\:0-}(\frac{x}{\left|x\right|})
integral from 1 to 2 of (5sqrt(x^2-1))/x
\int\:_{1}^{2}\frac{5\sqrt{x^{2}-1}}{x}dx
derivative of f(x)=x^2+1.8x-0.1404
derivative\:f(x)=x^{2}+1.8x-0.1404
integral of cos^4(2x)sin^3(2x)
\int\:\cos^{4}(2x)\sin^{3}(2x)dx
integral of x^{21}e^{x^{22}}
\int\:x^{21}e^{x^{22}}dx
maclaurin ln^2(1+x)
maclaurin\:\ln^{2}(1+x)
integral of e^{-2/x}
\int\:e^{-\frac{2}{x}}dx
integral of (x^{15})/(1+x^{16)}
\int\:\frac{x^{15}}{1+x^{16}}dx
derivative of ((x-1/(x+1))^2)
\frac{d}{dx}((\frac{x-1}{x+1})^{2})
derivative of 2tan(2x)
\frac{d}{dx}(2\tan(2x))
d/(dt)(cos^3(t))
\frac{d}{dt}(\cos^{3}(t))
derivative of (6x-1(3x-5)^{-1})
\frac{d}{dx}((6x-1)(3x-5)^{-1})
d/(dt)(acos(3t))
\frac{d}{dt}(a\cos(3t))
(\partial)/(\partial x)(e^{3x^2}+4xy+5y^2)
\frac{\partial\:}{\partial\:x}(e^{3x^{2}}+4xy+5y^{2})
laplacetransform f(t)=te^t
laplacetransform\:f(t)=te^{t}
tangent of f(x)=cos((pix)/2),\at x=0.7
tangent\:f(x)=\cos(\frac{πx}{2}),\at\:x=0.7
xydx-(x^2-x)dy=0
xydx-(x^{2}-x)dy=0
(\partial)/(\partial x)(sin(xy)+cos(xy))
\frac{\partial\:}{\partial\:x}(\sin(xy)+\cos(xy))
integral of 13cot^4(x)
\int\:13\cot^{4}(x)dx
integral from 0 to (7pi)/4 of sec^4(t/7)
\int\:_{0}^{\frac{7π}{4}}\sec^{4}(\frac{t}{7})dt
integral of ((2x+5))/(x^2+2x+5)
\int\:\frac{(2x+5)}{x^{2}+2x+5}dx
integral of (x^3-3)^2
\int\:(x^{3}-3)^{2}dx
integral of (cos(x))/(sin^8(x))
\int\:\frac{\cos(x)}{\sin^{8}(x)}dx
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