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Popular Calculus Problems
integral of sqrt(x)
\int\:\sqrt{x}dx
(\partial)/(\partial y)(6y^5cos(5x))
\frac{\partial\:}{\partial\:y}(6y^{5}\cos(5x))
(\partial)/(\partial x)(x^4+2x^2y+y^3)
\frac{\partial\:}{\partial\:x}(x^{4}+2x^{2}y+y^{3})
integral of 3y+7
\int\:3y+7dy
(\partial)/(\partial x)(x^2*e^{x*y})
\frac{\partial\:}{\partial\:x}(x^{2}\cdot\:e^{x\cdot\:y})
y^'-2y=3e^{2x}
y^{\prime\:}-2y=3e^{2x}
derivative of sec^4(x)
derivative\:\sec^{4}(x)
integral of 3/(x^2(x+1))
\int\:\frac{3}{x^{2}(x+1)}dx
integral of (3x)/((x^2+1))
\int\:\frac{3x}{(x^{2}+1)}dx
derivative of (4x^2-16/(x-2))
\frac{d}{dx}(\frac{4x^{2}-16}{x-2})
integral of x^2-xy
\int\:x^{2}-xydy
tangent of f(x)= 1/(sqrt(x)),(1,1)
tangent\:f(x)=\frac{1}{\sqrt{x}},(1,1)
derivative of arccos(e^{9x})
derivative\:\arccos(e^{9x})
derivative of e^{-x+1}*x-2*e^{-x+1}
derivative\:e^{-x+1}\cdot\:x-2\cdot\:e^{-x+1}
derivative of 0.5sin(2x)
\frac{d}{dx}(0.5\sin(2x))
area x^2-4x+3,-x^2+2x+3
area\:x^{2}-4x+3,-x^{2}+2x+3
roots sin(ax^2)
roots\:\sin(ax^{2})
integral of (x^2-4)
\int\:(x^{2}-4)dx
derivative of (x^2-3^2)
\frac{d}{dx}((x^{2}-3)^{2})
area y= 1/(20x^2),x=y,y= x/(16)
area\:y=\frac{1}{20x^{2}},x=y,y=\frac{x}{16}
integral of x*y
\int\:x\cdot\:y
derivative of (x^2+1sqrt(x))
\frac{d}{dx}((x^{2}+1)\sqrt{x})
derivative of (3x^4-18x^5*cos(5x^2))
\frac{d}{dx}((3x^{4}-18x)^{5}\cdot\:\cos(5x^{2}))
integral of (2x^2+3)^2
\int\:(2x^{2}+3)^{2}dx
(yx-y)dy-(y+1)dx=0
(yx-y)dy-(y+1)dx=0
integral of e^{-x}*sin(2x)
\int\:e^{-x}\cdot\:\sin(2x)dx
integral of (arctan(x)-ln(x))
\int\:(\arctan(x)-\ln(x))dx
integral of (12x+7)
\int\:(12x+7)dx
taylor (x^2+25)^{-3}
taylor\:(x^{2}+25)^{-3}
(\partial)/(\partial x)(5+2sin(4x))
\frac{\partial\:}{\partial\:x}(5+2\sin(4x))
limit as x approaches-4-of (-6x)/(x+4)
\lim\:_{x\to\:-4-}(\frac{-6x}{x+4})
derivative of (5-x^2)
\frac{d}{dx}((5-x)^{2})
derivative of 3cos(5ln(x))
derivative\:3\cos(5\ln(x))
derivative of e^{x+1}
derivative\:e^{x+1}
derivative of sqrt(5-7x)
derivative\:\sqrt{5-7x}
(\partial)/(\partial y)(4x)
\frac{\partial\:}{\partial\:y}(4x)
integral from 0 to ln(12) of xe^x
\int\:_{0}^{\ln(12)}xe^{x}dx
(\partial)/(\partial x)(x/(y+6z))
\frac{\partial\:}{\partial\:x}(\frac{x}{y+6z})
integral of x/(32)+1/8
\int\:\frac{x}{32}+\frac{1}{8}dx
integral of x+e^x
\int\:x+e^{x}dx
limit as x approaches infinity of (1+sin(6x))^{1/(3x)}
\lim\:_{x\to\:\infty\:}((1+\sin(6x))^{\frac{1}{3x}})
limit as x approaches 1 of x*ln(x)
\lim\:_{x\to\:1}(x\cdot\:\ln(x))
limit as t approaches infinity of (1-e^{-2t})/t
\lim\:_{t\to\:\infty\:}(\frac{1-e^{-2t}}{t})
integral of 1/(sqrt(x^2-2x+5))
\int\:\frac{1}{\sqrt{x^{2}-2x+5}}dx
derivative of arctan(e^{-x})
\frac{d}{dx}(\arctan(e^{-x}))
derivative of e^{3sqrt(x)}
derivative\:e^{3\sqrt{x}}
limit as n approaches infinity of (n^{sqrt(2)})/(21^n)
\lim\:_{n\to\:\infty\:}(\frac{n^{\sqrt{2}}}{21^{n}})
laplacetransform 5t^2-2e^t
laplacetransform\:5t^{2}-2e^{t}
(\partial)/(\partial y)(4x^3-4y)
\frac{\partial\:}{\partial\:y}(4x^{3}-4y)
derivative of-k/(x^2)
\frac{d}{dx}(-\frac{k}{x^{2}})
integral of (2x+3)/(x+1)
\int\:\frac{2x+3}{x+1}dx
integral of (x^2)/(\sqrt[4]{x^3+4)}
\int\:\frac{x^{2}}{\sqrt[4]{x^{3}+4}}dx
derivative of x^3-8x^2+19x-12
derivative\:x^{3}-8x^{2}+19x-12
integral from 5 to 10 of (3x+3)
\int\:_{5}^{10}(3x+3)dx
(\partial)/(\partial y)(x^3-y^2+2xy)
\frac{\partial\:}{\partial\:y}(x^{3}-y^{2}+2xy)
derivative of f(x)=(x^2)/(3+sqrt(x))
derivative\:f(x)=\frac{x^{2}}{3+\sqrt{x}}
(dy)/(dx)=sqrt(8y)e^{x+2}
\frac{dy}{dx}=\sqrt{8y}e^{x+2}
integral of 1/(t^3+t^2-2t)
\int\:\frac{1}{t^{3}+t^{2}-2t}dt
integral of (32x^2)/((x-15)(x+5)^2)
\int\:\frac{32x^{2}}{(x-15)(x+5)^{2}}dx
integral of 8^{-x}
\int\:8^{-x}dx
derivative of 1/(sec^2(4x))
\frac{d}{dx}(\frac{1}{\sec^{2}(4x)})
derivative of f(x)=ln(6)-3x^5
derivative\:f(x)=\ln(6)-3x^{5}
derivative of (x^2)/(x^2+1)
derivative\:\frac{x^{2}}{x^{2}+1}
limit as x approaches infinity of 52.2+(41.9*e^{(-0.055*x)})
\lim\:_{x\to\:\infty\:}(52.2+(41.9\cdot\:e^{(-0.055\cdot\:x)}))
derivative of ln(x^2+y)
\frac{d}{dx}(\ln(x^{2}+y))
integral of 1/(3cos(x)+4sin(x))
\int\:\frac{1}{3\cos(x)+4\sin(x)}dx
limit as x approaches-infinity of 0x
\lim\:_{x\to\:-\infty\:}(0x)
integral of 2x+22
\int\:2x+22dx
f(x)=ln(x)cos(x)
f(x)=\ln(x)\cos(x)
(dy)/(dx)+7 y/((-2x+200))=30
\frac{dy}{dx}+7\frac{y}{(-2x+200)}=30
derivative of e^xcos(y+ln(x^2y))
\frac{d}{dx}(e^{x}\cos(y)+\ln(x^{2}y))
derivative of e^x-x^6
derivative\:e^{x}-x^{6}
inverse oflaplace 1/(9s)
inverselaplace\:\frac{1}{9s}
(dv)/(dt)=(457.8-7v)/(2180)
\frac{dv}{dt}=\frac{457.8-7v}{2180}
y^'=2y+x^2e^{2x}
y^{\prime\:}=2y+x^{2}e^{2x}
e^{-3x}(y+1)dy=xe^{3x}(1+y^3)dx
e^{-3x}(y+1)dy=xe^{3x}(1+y^{3})dx
tangent of (4x)/(x+3)
tangent\:\frac{4x}{x+3}
tangent of y= 2/(sqrt(x))
tangent\:y=\frac{2}{\sqrt{x}}
(\partial)/(\partial x)(3x^4e^{x^2y})
\frac{\partial\:}{\partial\:x}(3x^{4}e^{x^{2}y})
limit as x approaches-3+of 3/(x^2-9)
\lim\:_{x\to\:-3+}(\frac{3}{x^{2}-9})
x(dy)/(dx)+22y= 1/x
x\frac{dy}{dx}+22y=\frac{1}{x}
derivative of (e^{2x}-e^x+1)/(e^x)
derivative\:\frac{e^{2x}-e^{x}+1}{e^{x}}
y^'(x)=(6x^2)/(6y^2-7),y(1)=0
y^{\prime\:}(x)=\frac{6x^{2}}{6y^{2}-7},y(1)=0
e^x(dy)/(dx)+3e^xy=2
e^{x}\frac{dy}{dx}+3e^{x}y=2
derivative of y=x^{5^x}
derivative\:y=x^{5^{x}}
(\partial)/(\partial y)(xsin(y)+ze^x)
\frac{\partial\:}{\partial\:y}(x\sin(y)+ze^{x})
integral of 1/(64e^{-5x)+e^{5x}}
\int\:\frac{1}{64e^{-5x}+e^{5x}}dx
limit as θ approaches 0 of cot(piθ)
\lim\:_{θ\to\:0}(\cot(πθ))
limit as x approaches 8 of (f(x))/(g(x))
\lim\:_{x\to\:8}(\frac{f(x)}{g(x)})
derivative of 4/(1-9x)
\frac{d}{dx}(\frac{4}{1-9x})
derivative of-x/3
derivative\:-\frac{x}{3}
derivative of-y/(x^2+y^2)
\frac{d}{dx}(-\frac{y}{x^{2}+y^{2}})
integral of 1/(e^x(3+e^{-x))}
\int\:\frac{1}{e^{x}(3+e^{-x})}dx
derivative of e^{ax}sin(bx)
\frac{d}{dx}(e^{ax}\sin(bx))
x^2(dy)/(dx)=1-x^2+y^2-x^2y^2
x^{2}\frac{dy}{dx}=1-x^{2}+y^{2}-x^{2}y^{2}
integral of (x-a)^2
\int\:(x-a)^{2}dx
integral of (x^2+1)/((x^2-2x+2)^2)
\int\:\frac{x^{2}+1}{(x^{2}-2x+2)^{2}}dx
derivative of (x-13)/(sqrt(x)-\sqrt{13)}
derivative\:\frac{x-13}{\sqrt{x}-\sqrt{13}}
integral from-5 to 5 of 1/2 (25-x^2)
\int\:_{-5}^{5}\frac{1}{2}(25-x^{2})dx
(6x+1)y^2(dy)/(dx)+4x^2+2y^3=0
(6x+1)y^{2}\frac{dy}{dx}+4x^{2}+2y^{3}=0
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