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Popular Calculus Problems
derivative of sqrt(2x)+1
\frac{d}{dx}(\sqrt{2x}+1)
derivative of f(x)=(cos(x))/(x^7)
derivative\:f(x)=\frac{\cos(x)}{x^{7}}
integral of (3x^2+2)/(x^3+2x)
\int\:\frac{3x^{2}+2}{x^{3}+2x}dx
(dy)/(dx)-3y= y/x
\frac{dy}{dx}-3y=\frac{y}{x}
derivative of (x-y^{10})
\frac{d}{dx}((x-y)^{10})
integral of (x^2+5)e^{2x}
\int\:(x^{2}+5)e^{2x}dx
limit as x approaches 8-of x^2+5
\lim\:_{x\to\:8-}(x^{2}+5)
d/(d{x)}({x}^2e^{{y}{z}})
\frac{d}{d{x}}({x}^{2}e^{{y}{z}})
derivative of f(x)=5x^2+2x-20
derivative\:f(x)=5x^{2}+2x-20
(dx)/(dt)=2tcos^2(x)
\frac{dx}{dt}=2t\cos^{2}(x)
derivative of 3x^2+ln(5x-sin(x))
\frac{d}{dx}(3x^{2}+\ln(5x)-\sin(x))
d/(dj)(2i-3j)
\frac{d}{dj}(2i-3j)
y^'+5/t y=1
y^{\prime\:}+\frac{5}{t}y=1
integral of arccot(5y)
\int\:\arccot(5y)dy
tangent of f(x)=x^2-6,(4,10)
tangent\:f(x)=x^{2}-6,(4,10)
(d^2)/(dx^2)(xe^{4x})
\frac{d^{2}}{dx^{2}}(xe^{4x})
tangent of f(x)= 1/(2sqrt(x)),\at x=81
tangent\:f(x)=\frac{1}{2\sqrt{x}},\at\:x=81
derivative of {f}(x((x^4)/4-1/4))
\frac{d}{dx}({f}(x)(\frac{x^{4}}{4}-\frac{1}{4}))
derivative of log_{3}(x-4x^2)
derivative\:\log_{3}(x-4x^{2})
derivative of 1/((x^3+4^2))
\frac{d}{dx}(\frac{1}{(x^{3}+4)^{2}})
limit as x approaches 0-of xln(x)
\lim\:_{x\to\:0-}(x\ln(x))
integral from 3 to 8 of (x^3-pix^2)
\int\:_{3}^{8}(x^{3}-πx^{2})dx
sum from n=0 to infinity of 9((5/12)^n)
\sum\:_{n=0}^{\infty\:}9((\frac{5}{12})^{n})
integral of (x^6e^x)/x
\int\:\frac{x^{6}e^{x}}{x}dx
(dy)/(dx)+3x^2y=6x^2
\frac{dy}{dx}+3x^{2}y=6x^{2}
slope ofintercept (-4,-5),(3,-5)
slopeintercept\:(-4,-5),(3,-5)
integral of (sin(x))/(4+cos^2(x))
\int\:\frac{\sin(x)}{4+\cos^{2}(x)}dx
integral of (5+2w^3-w^5)cos(3w)
\int\:(5+2w^{3}-w^{5})\cos(3w)dw
area x=y^2-y,x=y-y^2
area\:x=y^{2}-y,x=y-y^{2}
integral from 2 to 4 of 8x
\int\:_{2}^{4}8xdx
integral of (2sin(x)cos(x))
\int\:(2\sin(x)\cos(x))dx
integral of 7tan^5(x)
\int\:7\tan^{5}(x)dx
parity f(x)=sqrt(x+sin(x))
parity\:f(x)=\sqrt{x+\sin(x)}
integral of ye^x
\int\:ye^{x}dx
integral of (e^{8x})/(e^{8x)+9}
\int\:\frac{e^{8x}}{e^{8x}+9}dx
derivative of (8x^2-13xe^x)
\frac{d}{dx}((8x^{2}-13x)e^{x})
derivative of (x^3-2x)(x^{-4}+x^{-2})
derivative\:(x^{3}-2x)(x^{-4}+x^{-2})
taylor 2/((3x+1)),2
taylor\:\frac{2}{(3x+1)},2
(-xysin(x)+2ycos(x))dx+2xcos(x)dy=0
(-xy\sin(x)+2y\cos(x))dx+2x\cos(x)dy=0
integral of x^8(x^9-7)^4
\int\:x^{8}(x^{9}-7)^{4}dx
derivative of 9/2 x^2
\frac{d}{dx}(\frac{9}{2}x^{2})
(\partial)/(\partial y)(6xy)
\frac{\partial\:}{\partial\:y}(6xy)
derivative of 73.3\sqrt[4]{x^3}
\frac{d}{dx}(73.3\sqrt[4]{x^{3}})
d/(dt)(t^3-12t^2+45t)
\frac{d}{dt}(t^{3}-12t^{2}+45t)
laplacetransform 3t
laplacetransform\:3t
integral of e-x
\int\:e-xdx
integral of sin(6θ)cos(2θ)
\int\:\sin(6θ)\cos(2θ)dθ
tangent of f(x)=((2x)/(x^2+1)),\at x=1
tangent\:f(x)=(\frac{2x}{x^{2}+1}),\at\:x=1
y^{''}=-3y
y^{\prime\:\prime\:}=-3y
(\partial)/(\partial x)(sec(xy)+tan(xy))
\frac{\partial\:}{\partial\:x}(\sec(xy)+\tan(xy))
limit as x approaches 4+of 2/(sqrt(x-4))
\lim\:_{x\to\:4+}(\frac{2}{\sqrt{x-4}})
integral of 3x^{-5}
\int\:3x^{-5}dx
integral of (e^x+2)
\int\:(e^{x}+2)dx
derivative of f(x)=((8x+x^2))/((4+x)^2)
derivative\:f(x)=\frac{(8x+x^{2})}{(4+x)^{2}}
integral of (3x)/(3x+2)
\int\:\frac{3x}{3x+2}dx
limit as x approaches 3 of (x^2-25)/(sqrt(x^2+11))
\lim\:_{x\to\:3}(\frac{x^{2}-25}{\sqrt{x^{2}+11}})
integral from 0 to 2 of 2e^{-3x}
\int\:_{0}^{2}2e^{-3x}dx
derivative of (x^{1/3}-1^3)
\frac{d}{dx}((x^{\frac{1}{3}}-1)^{3})
xy^'=y+3x^2sin(x),y(pi)=0
xy^{\prime\:}=y+3x^{2}\sin(x),y(π)=0
integral from 2 to 4 of 1/(x^2-25)
\int\:_{2}^{4}\frac{1}{x^{2}-25}dx
limit as x approaches 0 of (4x)^{7x}
\lim\:_{x\to\:0}((4x)^{7x})
area-2x^2+x,-2,1
area\:-2x^{2}+x,-2,1
sum from n=0 to infinity of 1/2
\sum\:_{n=0}^{\infty\:}\frac{1}{2}
(\partial)/(\partial x)(asin(2x))
\frac{\partial\:}{\partial\:x}(a\sin(2x))
integral of (e^{sqrt(7x)})/(sqrt(7x))
\int\:\frac{e^{\sqrt{7x}}}{\sqrt{7x}}dx
sum from n=0 to infinity of cn(x-4)^n
\sum\:_{n=0}^{\infty\:}cn(x-4)^{n}
limit as x approaches 0 of (sin(8x))/x
\lim\:_{x\to\:0}(\frac{\sin(8x)}{x})
derivative of (8x^2-14x)e^x
derivative\:(8x^{2}-14x)e^{x}
integral of 1+1/(x^2)
\int\:1+\frac{1}{x^{2}}dx
integral of-4x^2-12x+16
\int\:-4x^{2}-12x+16dx
derivative of (0.14x/(0.015+x))
\frac{d}{dx}(\frac{0.14x}{0.015+x})
integral of y-e^{cos(x)}sin(x)
\int\:y-e^{\cos(x)}\sin(x)dx
integral of ((3x-5))/(x^3-5x^2-14x)
\int\:\frac{(3x-5)}{x^{3}-5x^{2}-14x}dx
derivative of \sqrt[3]{x^3+y^3}
\frac{d}{dx}(\sqrt[3]{x^{3}+y^{3}})
(sqrt(x)cos(sqrt(x)))^'
(\sqrt{x}\cos(\sqrt{x}))^{\prime\:}
integral of cos(x)sec^2(x)
\int\:\cos(x)\sec^{2}(x)dx
f(x)=-sec^2(x)
f(x)=-\sec^{2}(x)
integral from 0 to pi/4 of 4sec^3(x)
\int\:_{0}^{\frac{π}{4}}4\sec^{3}(x)dx
limit as x approaches 4 of 1/((x-4)^2)
\lim\:_{x\to\:4}(\frac{1}{(x-4)^{2}})
integral of 10-1/16 x
\int\:10-\frac{1}{16}xdx
integral of 1/(2sin^2(x/5))
\int\:\frac{1}{2\sin^{2}(\frac{x}{5})}dx
tangent of x=ln(xy),\at x=1
tangent\:x=\ln(xy),\at\:x=1
derivative of sqrt(2x+1)
derivative\:\sqrt{2x+1}
integral of 2/(cos^2(x))
\int\:\frac{2}{\cos^{2}(x)}dx
y^{''}+y^'-6y=0,y(0)=5,y^'(0)=2
y^{\prime\:\prime\:}+y^{\prime\:}-6y=0,y(0)=5,y^{\prime\:}(0)=2
integral of 5x^2+3x+2
\int\:5x^{2}+3x+2dx
integral from 0 to 5 of (1+2x^3)
\int\:_{0}^{5}(1+2x^{3})dx
derivative of ((x^2+2/(x^2-2))^3)
\frac{d}{dx}((\frac{x^{2}+2}{x^{2}-2})^{3})
(\partial)/(\partial x)(xarctan(x+2y))
\frac{\partial\:}{\partial\:x}(x\arctan(x+2y))
derivative of (2cos(sqrt(x))/(x+1))
\frac{d}{dx}(\frac{2\cos(\sqrt{x})}{x+1})
integral of ((x-2))/2
\int\:\frac{(x-2)}{2}dx
derivative of (10x/(x^2-6))
\frac{d}{dx}(\frac{10x}{x^{2}-6})
tangent of f(x)=x^2-5,(-3,4)
tangent\:f(x)=x^{2}-5,(-3,4)
integral of (x-3)^2*e^{-x}
\int\:(x-3)^{2}\cdot\:e^{-x}dx
integral of 1/((x-2)(x+2)^2)
\int\:\frac{1}{(x-2)(x+2)^{2}}dx
integral of 1/(x^2)sqrt(1-1/x)
\int\:\frac{1}{x^{2}}\sqrt{1-\frac{1}{x}}dx
(dy)/(dx)=ycos(3x+2)
\frac{dy}{dx}=y\cos(3x+2)
(dy)/(dt)+7y=e^{5t}
\frac{dy}{dt}+7y=e^{5t}
derivative of-2x^2+x-1
\frac{d}{dx}(-2x^{2}+x-1)
x^{''}+3x^'+2x=1
x^{\prime\:\prime\:}+3x^{\prime\:}+2x=1
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