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Popular Calculus Problems

derivative of 0.1x^2	\frac{d}{dx}(0.1x^{2})
(\partial)/(\partial x)(x^3+yz^2)	\frac{\partial\:}{\partial\:x}(x^{3}+yz^{2})
derivative of (x^2-2)^2	derivative\:(x^{2}-2)^{2}
(\partial)/(\partial z)(xy+yz)	\frac{\partial\:}{\partial\:z}(xy+yz)
integral of e^{3x}(e^{3x-8})^5	\int\:e^{3x}(e^{3x-8})^{5}dx
y^'=3x+y	y^{\prime\:}=3x+y
(d^3)/(dx^3)(ln(x+1))	\frac{d^{3}}{dx^{3}}(\ln(x+1))
slope of (0,2),(4,-2)	slope\:(0,2),(4,-2)
81y^{''}+18y^'+y=0	81y^{\prime\:\prime\:}+18y^{\prime\:}+y=0
slope of (1.2)(2.4)	slope\:(1.2)(2.4)
derivative of (4x^3+3x^2/x)	\frac{d}{dx}(\frac{4x^{3}+3x^{2}}{x})
parity f(x)=tan^{40}(sec(cos(x)))	parity\:f(x)=\tan^{40}(\sec(\cos(x)))
integral of 3sin^3(x)	\int\:3\sin^{3}(x)dx
y^{''}+16y=-32sin(4t)	y^{\prime\:\prime\:}+16y=-32\sin(4t)
(dv)/(dt)=v^2+5v+6	\frac{dv}{dt}=v^{2}+5v+6
f(x)=x*ln(x)-x	f(x)=x\cdot\:\ln(x)-x
limit as x approaches 0 of x^{-1}-1	\lim\:_{x\to\:0}(x^{-1}-1)
area y=8x-x^2,y=0	area\:y=8x-x^{2},y=0
integral of sin((npix)/2)	\int\:\sin(\frac{nπx}{2})dx
integral of e^{cos(16t)}sin(16t)	\int\:e^{\cos(16t)}\sin(16t)dt
integral of y^2cos(x)	\int\:y^{2}\cos(x)dx
(\partial)/(\partial x)(x+y/z)	\frac{\partial\:}{\partial\:x}(x+\frac{y}{z})
y^{''}-8y^'+17y=0	y^{\prime\:\prime\:}-8y^{\prime\:}+17y=0
3x^2y^'=y^'+5xe^{-y}	3x^{2}y^{\prime\:}=y^{\prime\:}+5xe^{-y}
(1+e^xy+xe^xy)dx+(xe^x+2)dy=0	(1+e^{x}y+xe^{x}y)dx+(xe^{x}+2)dy=0
integral of (9x^3-5x^2+3x)/x	\int\:\frac{9x^{3}-5x^{2}+3x}{x}dx
derivative of e^{0.04t}	derivative\:e^{0.04t}
limit as x approaches-3 of (x^2-9)/(x-3)	\lim\:_{x\to\:-3}(\frac{x^{2}-9}{x-3})
integral of-4xsin(5x)	\int\:-4x\sin(5x)dx
y=sqrt(3x+13)	y=\sqrt{3x+13}
area 5cos(9x),5-5cos(9x),[0, pi/9 ]	area\:5\cos(9x),5-5\cos(9x),[0,\frac{π}{9}]
derivative of f(x)=(x^3-2)^3	derivative\:f(x)=(x^{3}-2)^{3}
area 3x^2+3x-8,2x^2+x+7	area\:3x^{2}+3x-8,2x^{2}+x+7
(3^x)^'	(3^{x})^{\prime\:}
derivative of cos(sin^2(x))	\frac{d}{dx}(\cos(\sin^{2}(x)))
(\partial)/(\partial y)(5/y)	\frac{\partial\:}{\partial\:y}(\frac{5}{y})
derivative of (d/(dx(sin(x)))/x)	\frac{d}{dx}(\frac{\frac{d}{dx}(\sin(x))}{x})
y^{''}+5y^'+6y=sin(e^x)	y^{\prime\:\prime\:}+5y^{\prime\:}+6y=\sin(e^{x})
integral of 4e^x+cos(x/5)	\int\:4e^{x}+\cos(\frac{x}{5})dx
integral of 3sin^2(t)cos(t)	\int\:3\sin^{2}(t)\cos(t)dt
integral of x^4e^{3x}	\int\:x^{4}e^{3x}dx
derivative of 2sec(2xtan(2x))	\frac{d}{dx}(2\sec(2x)\tan(2x))
derivative of acos(bx)	\frac{d}{dx}(a\cos(bx))
integral of 4sqrt(x)-4/(sqrt(x))	\int\:4\sqrt{x}-\frac{4}{\sqrt{x}}dx
integral of (3x-1)/((3x^2-2x+1)^4)	\int\:\frac{3x-1}{(3x^{2}-2x+1)^{4}}dx
integral from-2 to 2 of 1/2 (16-x^4)	\int\:_{-2}^{2}\frac{1}{2}(16-x^{4})dx
integral of cos(3x+4)	\int\:\cos(3x+4)dx
derivative of a/(x^b)	\frac{d}{dx}(\frac{a}{x^{b}})
sum from n=0 to infinity of 1/(2^{2n-1)}	\sum\:_{n=0}^{\infty\:}\frac{1}{2^{2n-1}}
integral from 0 to a of 1/((a+r-x)^2)	\int\:_{0}^{a}\frac{1}{(a+r-x)^{2}}dx
derivative of sqrt(5x^6-12)	\frac{d}{dx}(\sqrt{5x^{6}-12})
integral of e^{5x}cos(8x)	\int\:e^{5x}\cos(8x)dx
integral from (11pi)/2 to 6pi of 9sin(x)	\int\:_{\frac{11π}{2}}^{6π}9\sin(x)dx
y^'=(1-y)cos(x)	y^{\prime\:}=(1-y)\cos(x)
tangent of y=(x^3-16x)^8,(-4,0)	tangent\:y=(x^{3}-16x)^{8},(-4,0)
(dy)/(dx)=(x+y)	\frac{dy}{dx}=(x+y)
integral of sin^6(2x)	\int\:\sin^{6}(2x)dx
y^'=e^y	y^{\prime\:}=e^{y}
derivative of 4sin(2x-3cos(3x))	\frac{d}{dx}(4\sin(2x)-3\cos(3x))
integral from-2 to 0 of-x^2-2x	\int\:_{-2}^{0}-x^{2}-2xdx
derivative of f(x)=3x-5	derivative\:f(x)=3x-5
integral from-2 to 2 of (6x)-(x^2-7)	\int\:_{-2}^{2}(6x)-(x^{2}-7)dx
area y=x^2-4x,y=4x	area\:y=x^{2}-4x,y=4x
integral of 1/((9x^2+16)^2)	\int\:\frac{1}{(9x^{2}+16)^{2}}dx
integral of (cos(x))/(4-sin^2(x))	\int\:\frac{\cos(x)}{4-\sin^{2}(x)}dx
(d^2)/(dx^2)(xy)	\frac{d^{2}}{dx^{2}}(xy)
integral from 0 to ln(4) of e^x-e^{-3x}	\int\:_{0}^{\ln(4)}e^{x}-e^{-3x}dx
limit as x approaches+0 of (tan(x)-x)/x	\lim\:_{x\to\:+0}(\frac{\tan(x)-x}{x})
integral from-2 to 2 of (x+3)sqrt(4-x^2)	\int\:_{-2}^{2}(x+3)\sqrt{4-x^{2}}dx
derivative of f(x)=sqrt(2e^{x^3)+1}	derivative\:f(x)=\sqrt{2e^{x^{3}}+1}
derivative of sqrt(x)+5e^x	\frac{d}{dx}(\sqrt{x}+5e^{x})
derivative of-1/(cos^2(x))	\frac{d}{dx}(-\frac{1}{\cos^{2}(x)})
derivative of ln(sqrt(x^4-4x))	\frac{d}{dx}(\ln(\sqrt{x^{4}-4x}))
(\partial)/(\partial x)((4x)/(y^3))	\frac{\partial\:}{\partial\:x}(\frac{4x}{y^{3}})
x-ydx+xdy=0	x-ydx+xdy=0
(dx)/(dt)=x-x^2,x(0)=2	\frac{dx}{dt}=x-x^{2},x(0)=2
(d^2x)/(dt^2)+(dx)/(dt)-6x=4e^{-2t}	\frac{d^{2}x}{dt^{2}}+\frac{dx}{dt}-6x=4e^{-2t}
integral of 1+y	\int\:1+ydy
limit as x approaches 0+of x(ln(x^2))	\lim\:_{x\to\:0+}(x(\ln(x^{2})))
tangent of 4x^2+xy+4y^2=9,(1,1)	tangent\:4x^{2}+xy+4y^{2}=9,(1,1)
area 1/x , 5/x ,x,3x	area\:\frac{1}{x},\frac{5}{x},x,3x
integral from-pi to pi of sin(3x)	\int\:_{-π}^{π}\sin(3x)dx
area x=y^2,x=4	area\:x=y^{2},x=4
derivative of 3x^2sin(x)	\frac{d}{dx}(3x^{2}\sin(x))
derivative of 1/x sin(x)	derivative\:\frac{1}{x}\sin(x)
derivative of (sin(12x)/(e^{7x)})	\frac{d}{dx}(\frac{\sin(12x)}{e^{7x}})
integral of 16tan^4(x)sec^6(x)	\int\:16\tan^{4}(x)\sec^{6}(x)dx
tangent of f(x)=38-x^2,(-6,2)	tangent\:f(x)=38-x^{2},(-6,2)
tangent of y=3-x^3(0.3)	tangent\:y=3-x^{3}(0.3)
integral of x^2(x^3-1)^2	\int\:x^{2}(x^{3}-1)^{2}dx
limit as z approaches 2i of iz^4+3z^2-10i	\lim\:_{z\to\:2i}(iz^{4}+3z^{2}-10i)
derivative of f(x)=x^2-8x	derivative\:f(x)=x^{2}-8x
(x^2+y^2)dx-xydy=0	(x^{2}+y^{2})dx-xydy=0
integral of cos(x)e^{2x}	\int\:\cos(x)e^{2x}dx
integral of (y^4)/4	\int\:\frac{y^{4}}{4}dy
integral of u^{-3}(9-u^3+u^6)	\int\:u^{-3}(9-u^{3}+u^{6})du
integral of (1/(\sqrt[3]{x)+sqrt(x)})	\int\:(\frac{1}{\sqrt[3]{x}+\sqrt{x}})dx
integral of xsqrt(3-x^2)-x^2	\int\:x\sqrt{3-x^{2}}-x^{2}dx
integral of x/(sqrt(3x+2))	\int\:\frac{x}{\sqrt{3x+2}}dx
(\partial)/(\partial x)(e^{yln(z)})	\frac{\partial\:}{\partial\:x}(e^{y\ln(z)})

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