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Popular Calculus Problems
integral of (x^4)/((2-x^5)^4)
\int\:\frac{x^{4}}{(2-x^{5})^{4}}dx
derivative of y=(4x^2+6x+2)/(sqrt(x))
derivative\:y=\frac{4x^{2}+6x+2}{\sqrt{x}}
integral of e^{2x}*e^{-x}
\int\:e^{2x}\cdot\:e^{-x}dx
integral from 1 to 2 of ((x-4))/(x^2)
\int\:_{1}^{2}\frac{(x-4)}{x^{2}}dx
tangent of f(x)=2x^3-2x,(1,0)
tangent\:f(x)=2x^{3}-2x,(1,0)
(\partial)/(\partial x)(xe^{x+y})
\frac{\partial\:}{\partial\:x}(xe^{x+y})
integral of 2arctan(3y)
\int\:2\arctan(3y)dy
(\partial)/(\partial x)(9+xln(xy-5))
\frac{\partial\:}{\partial\:x}(9+x\ln(xy-5))
integral from 0 to infinity of sin(9x)
\int\:_{0}^{\infty\:}\sin(9x)dx
derivative of sin(x-xcos(x))
\frac{d}{dx}(\sin(x)-x\cos(x))
integral of 1/((1-x)(1-3x)^3)
\int\:\frac{1}{(1-x)(1-3x)^{3}}dx
derivative of 2/(2x+3)
\frac{d}{dx}(\frac{2}{2x+3})
integral of 6/x
\int\:\frac{6}{x}dx
integral of x^2sin(x)
\int\:x^{2}\sin(x)dx
derivative of 2x(sin(x+cos(x)))
\frac{d}{dx}(2x(\sin(x)+\cos(x)))
integral of (x^2+4)/(x+2)
\int\:\frac{x^{2}+4}{x+2}dx
integral of (e^x)/(1+36e^{2x)}
\int\:\frac{e^{x}}{1+36e^{2x}}dx
derivative of 5/3 x^3-5/2 x^2
derivative\:\frac{5}{3}x^{3}-\frac{5}{2}x^{2}
derivative of (4x^2+4x+8)/(sqrt(x))
derivative\:\frac{4x^{2}+4x+8}{\sqrt{x}}
integral of 3cos(2x)
\int\:3\cos(2x)dx
derivative of f(x)=ln(2x)
derivative\:f(x)=\ln(2x)
integral of (x+1)/(x(x-2)(x-3))
\int\:\frac{x+1}{x(x-2)(x-3)}dx
d/(dy)((x^2)/2-xy)
\frac{d}{dy}(\frac{x^{2}}{2}-xy)
tangent of 4x^2-2x+6
tangent\:4x^{2}-2x+6
integral of (2+3sin^2(x))/(sin^2(x))
\int\:\frac{2+3\sin^{2}(x)}{\sin^{2}(x)}dx
y^'+4/(x^2-1)y=0
y^{\prime\:}+\frac{4}{x^{2}-1}y=0
integral of 4t^2
\int\:4t^{2}dt
limit as x approaches 1 of-1/(x-1)
\lim\:_{x\to\:1}(-\frac{1}{x-1})
simplify (7+t+t^2)/(sqrt(t))
simplify\:\frac{7+t+t^{2}}{\sqrt{t}}
derivative of y=(w^4+5w^2+w)/(w^2)
derivative\:y=\frac{w^{4}+5w^{2}+w}{w^{2}}
area y= 2/x ,y=8x,y= 1/2 x
area\:y=\frac{2}{x},y=8x,y=\frac{1}{2}x
integral of (1/x-5/(4x^2+1))
\int\:(\frac{1}{x}-\frac{5}{4x^{2}+1})dx
integral of ((17))/((x-1)(x^2+16))
\int\:\frac{(17)}{(x-1)(x^{2}+16)}dx
integral of x(3x^2-2)
\int\:x(3x^{2}-2)dx
derivative of 1/5 x^5-3x^4+9x^2+1
\frac{d}{dx}(\frac{1}{5}x^{5}-3x^{4}+9x^{2}+1)
(\partial)/(\partial x)(cos(2x+y)-z)
\frac{\partial\:}{\partial\:x}(\cos(2x+y)-z)
(dy}{dx}=\frac{6y)/x
\frac{dy}{dx}=\frac{6y}{x}
limit as x approaches 0 of (sin(6x))/2
\lim\:_{x\to\:0}(\frac{\sin(6x)}{2})
integral of x/(3x^2-5)
\int\:\frac{x}{3x^{2}-5}dx
(dy)/(dx)=3xy^2
\frac{dy}{dx}=3xy^{2}
(x-y^4+y^2sin(x))dx=(4xy^3+2ycos(x))dy
(x-y^{4}+y^{2}\sin(x))dx=(4xy^{3}+2y\cos(x))dy
y^{''}+4y=7sin(2x)
y^{\prime\:\prime\:}+4y=7\sin(2x)
5sqrt(xy)((dy)/(dx))=2
5\sqrt{xy}(\frac{dy}{dx})=2
derivative of 3/(t^4)
derivative\:\frac{3}{t^{4}}
(\partial)/(\partial u)(uv-1)
\frac{\partial\:}{\partial\:u}(uv-1)
inverse oflaplace (2s)/((s-1)(s^2+25))
inverselaplace\:\frac{2s}{(s-1)(s^{2}+25)}
(\partial)/(\partial y)(e^{-y}(x^2+y^2))
\frac{\partial\:}{\partial\:y}(e^{-y}(x^{2}+y^{2}))
x((dy)/(dx))=sqrt(x^2-4)
x(\frac{dy}{dx})=\sqrt{x^{2}-4}
derivative of f(x)=(5x^2-7x)e^x
derivative\:f(x)=(5x^{2}-7x)e^{x}
f(x)=ln^3(x)
f(x)=\ln^{3}(x)
derivative of 2-2/3 x
\frac{d}{dx}(2-\frac{2}{3}x)
integral of 1/5 x^5
\int\:\frac{1}{5}x^{5}dx
limit as h approaches 0 of (1-cos(3h))/h
\lim\:_{h\to\:0}(\frac{1-\cos(3h)}{h})
derivative of 2^{sin(pix})
\frac{d}{dx}(2^{\sin(πx)})
derivative of cos(ex)
\frac{d}{dx}(\cos(ex))
(\partial)/(\partial x)(-3.24x^2+6.48x-1.8)
\frac{\partial\:}{\partial\:x}(-3.24x^{2}+6.48x-1.8)
integral of cos(x)sin(t-x)
\int\:\cos(x)\sin(t-x)dx
(\partial)/(\partial x)((10-x^3-y^2)/(12x))
\frac{\partial\:}{\partial\:x}(\frac{10-x^{3}-y^{2}}{12x})
integral from-pi to pi of sin(2x)sin(2x)
\int\:_{-π}^{π}\sin(2x)\sin(2x)dx
derivative of-1/(sqrt(1-x^2))
\frac{d}{dx}(-\frac{1}{\sqrt{1-x^{2}}})
integral of x^2sqrt(5x+5)
\int\:x^{2}\sqrt{5x+5}dx
integral of 5/(33x)x^4
\int\:\frac{5}{33x}x^{4}dx
limit as t approaches 0 of-2t
\lim\:_{t\to\:0}(-2t)
integral of (-7sqrt(25x^2-9))/(x^3)
\int\:\frac{-7\sqrt{25x^{2}-9}}{x^{3}}dx
limit as x approaches 0 of (1+2x)^{3/x}
\lim\:_{x\to\:0}((1+2x)^{\frac{3}{x}})
y^{''}-7y^'+14y=-784t^2
y^{\prime\:\prime\:}-7y^{\prime\:}+14y=-784t^{2}
y^{''}+9y=3tan(3x)
y^{\prime\:\prime\:}+9y=3\tan(3x)
derivative of (x^2-6x+1)/(x^2+9)
derivative\:\frac{x^{2}-6x+1}{x^{2}+9}
derivative of \sqrt[4]{(x^2+1/(x^2-1)})
\frac{d}{dx}(\sqrt[4]{\frac{x^{2}+1}{x^{2}-1}})
12x^{11}y+x^{12}y^'=-7sec^2(x)*tan(x)
12x^{11}y+x^{12}y^{\prime\:}=-7\sec^{2}(x)\cdot\:\tan(x)
derivative of (2x-e^2x^{sin(2x)})
\frac{d}{dx}((2x-e^{2}x)^{\sin(2x)})
integral of x/(t^2)
\int\:\frac{x}{t^{2}}dt
derivative of 4sqrt(x-8)
derivative\:4\sqrt{x-8}
d/(ds)(s/(s^2+1))
\frac{d}{ds}(\frac{s}{s^{2}+1})
derivative of 14450e^{-0.167t}
derivative\:14450e^{-0.167t}
derivative of (x^3+4x)(3x^2+2x-5)
derivative\:(x^{3}+4x)(3x^{2}+2x-5)
integral of sqrt(m+ny)
\int\:\sqrt{m+ny}dy
integral of (sec^3(x))/(tan(x))
\int\:\frac{\sec^{3}(x)}{\tan(x)}dx
limit as x approaches e of ln|3x|
\lim\:_{x\to\:e}(\ln\left|3x\right|)
25y^{''}-y=xe^{x/5}
25y^{\prime\:\prime\:}-y=xe^{\frac{x}{5}}
taylor 1e^x
taylor\:1e^{x}
ydx+(ycos(x/y)-x)dy=0
ydx+(y\cos(\frac{x}{y})-x)dy=0
limit as x approaches 4 of sqrt(3x+2)
\lim\:_{x\to\:4}(\sqrt{3x+2})
(d^4)/(dx^4)(15e^{x^2})
\frac{d^{4}}{dx^{4}}(15e^{x^{2}})
integral from-2 to 2 of (x+9)sqrt(4-x^2)
\int\:_{-2}^{2}(x+9)\sqrt{4-x^{2}}dx
limit as x approaches 0 of (8^x-14^x)/x
\lim\:_{x\to\:0}(\frac{8^{x}-14^{x}}{x})
derivative of 1/5 sin(5x)
\frac{d}{dx}(\frac{1}{5}\sin(5x))
integral of (x^2+1)/(x^2(x-1))
\int\:\frac{x^{2}+1}{x^{2}(x-1)}dx
integral of (4x+10)/(x^3)
\int\:\frac{4x+10}{x^{3}}dx
integral of (2e^{2x})/(1+e^{4x)}
\int\:\frac{2e^{2x}}{1+e^{4x}}dx
(dy)/(dx)=5-8x
\frac{dy}{dx}=5-8x
integral of (a^x)/(b^x)
\int\:\frac{a^{x}}{b^{x}}dx
derivative of (-x^2-9)/((x^2-9)^2)
derivative\:\frac{-x^{2}-9}{(x^{2}-9)^{2}}
y^'=\sqrt[6]{x^5}-x^{sqrt(2)}
y^{\prime\:}=\sqrt[6]{x^{5}}-x^{\sqrt{2}}
area y^2=2x-2,y=x-5
area\:y^{2}=2x-2,y=x-5
(\partial)/(\partial x)(cos(x^2y))
\frac{\partial\:}{\partial\:x}(\cos(x^{2}y))
integral of-2x+18x^2-4x^3+18
\int\:-2x+18x^{2}-4x^{3}+18dx
limit as x approaches 0+of e^{-2/x}
\lim\:_{x\to\:0+}(e^{-\frac{2}{x}})
(\partial}{\partial x}(\frac{5x)/y)
\frac{\partial\:}{\partial\:x}(\frac{5x}{y})
derivative of [x+(x+sin^2(x))^7]^6
derivative\:[x+(x+\sin^{2}(x))^{7}]^{6}
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