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Popular Calculus Problems

derivative of-4cos(x+xsin(x))	\frac{d}{dx}(-4\cos(x)+x\sin(x))
limit as x approaches 0 of x+1	\lim\:_{x\to\:0}(x+1)
area 1/(x+1),((x-1))/2	area\:\frac{1}{x+1},\frac{(x-1)}{2}
integral of 1/(9-16x^2)	\int\:\frac{1}{9-16x^{2}}dx
f(t)=4tsqrt(t+\sqrt{t)}	f(t)=4t\sqrt{t+\sqrt{t}}
derivative of 5/(sqrt(x^2+16))	\frac{d}{dx}(\frac{5}{\sqrt{x^{2}+16}})
integral of x^3sqrt(4-x^2)	\int\:x^{3}\sqrt{4-x^{2}}dx
derivative of asqrt(x+4)	\frac{d}{dx}(a\sqrt{x+4})
(\partial)/(\partial y)(y/3)	\frac{\partial\:}{\partial\:y}(\frac{y}{3})
xdx+1/y dy=0	xdx+\frac{1}{y}dy=0
f(x)=2e^{4x}	f(x)=2e^{4x}
xy^'+2y=2sin(x)	xy^{\prime\:}+2y=2\sin(x)
integral of (4x^3)/((x^4+1)^2)	\int\:\frac{4x^{3}}{(x^{4}+1)^{2}}dx
integral of 2/(sqrt(100-4x^2))	\int\:\frac{2}{\sqrt{100-4x^{2}}}dx
y^'+y=6x	y^{\prime\:}+y=6x
integral of (1/(sqrt(1+x^2)))	\int\:(\frac{1}{\sqrt{1+x^{2}}})dx
integral of 1/(x^2-10)	\int\:\frac{1}{x^{2}-10}dx
integral of e^{-0.3x}	\int\:e^{-0.3x}dx
integral of 7x^6	\int\:7x^{6}dx
derivative of 10xe^x	derivative\:10xe^{x}
4y^'+y=0	4y^{\prime\:}+y=0
tangent of f(x)=x^2+8,(-2,12)	tangent\:f(x)=x^{2}+8,(-2,12)
integral of (x^2+1)^9	\int\:(x^{2}+1)^{9}dx
integral of x^2sqrt(x^2-1)	\int\:x^{2}\sqrt{x^{2}-1}dx
integral of x(3x+1)^2	\int\:x(3x+1)^{2}dx
limit as x approaches 1 of ln(1/e x)	\lim\:_{x\to\:1}(\ln(\frac{1}{e}x))
(d^2)/(dx^2)(\sqrt[5]{(x^2+8)^4})	\frac{d^{2}}{dx^{2}}(\sqrt[5]{(x^{2}+8)^{4}})
integral of (x+4)(x+3)^{1/4}	\int\:(x+4)(x+3)^{\frac{1}{4}}dx
(cos(arcsin(x)))^'	(\cos(\arcsin(x)))^{\prime\:}
integral of 7/(sqrt(25-x^2))	\int\:\frac{7}{\sqrt{25-x^{2}}}dx
derivative of 2xy	derivative\:2xy
derivative of f(x)=x^4+4x^3-48x^2+6	derivative\:f(x)=x^{4}+4x^{3}-48x^{2}+6
d/(dt)(t-1)	\frac{d}{dt}(t-1)
integral of sqrt((1+x)/(1-x))	\int\:\sqrt{\frac{1+x}{1-x}}dx
integral of e^{y^3}	\int\:e^{y^{3}}dy
limit as x approaches 0 of (x^2-6x+9)/(x^2)	\lim\:_{x\to\:0}(\frac{x^{2}-6x+9}{x^{2}})
integral of (sqrt(9-x^2))/(x^4)	\int\:\frac{\sqrt{9-x^{2}}}{x^{4}}dx
derivative of sqrt(100-x^2)	derivative\:\sqrt{100-x^{2}}
integral from 1 to 2 of (v^3+3v^6)/(v^4)	\int\:_{1}^{2}\frac{v^{3}+3v^{6}}{v^{4}}dv
integral from 0 to 1 of (2x)/((2-x)^2)	\int\:_{0}^{1}\frac{2x}{(2-x)^{2}}dx
derivative of (11)/(ln(x))	derivative\:\frac{11}{\ln(x)}
limit as x approaches 2 of ln(x^2(3-x))	\lim\:_{x\to\:2}(\ln(x^{2}(3-x)))
derivative of cos^2(3sqrt(x))	\frac{d}{dx}(\cos^{2}(3\sqrt{x}))
integral of x(x+2)^5	\int\:x(x+2)^{5}dx
derivative of f(x)=4arcsin(x^4)	derivative\:f(x)=4\arcsin(x^{4})
derivative of (x^2/(x-11))	\frac{d}{dx}(\frac{x^{2}}{x-11})
derivative of 3x+4/x	derivative\:3x+\frac{4}{x}
integral from 2 to 3 of (19)/(sqrt(3-x))	\int\:_{2}^{3}\frac{19}{\sqrt{3-x}}dx
derivative of xln(xy)	\frac{d}{dx}(x\ln(xy))
limit as x approaches 0 of (e^x-1)/(13x)	\lim\:_{x\to\:0}(\frac{e^{x}-1}{13x})
(dy)/(dt)=e^{4t+5y}	\frac{dy}{dt}=e^{4t+5y}
derivative of (4x^2+4x+8/(sqrt(x)))	\frac{d}{dx}(\frac{4x^{2}+4x+8}{\sqrt{x}})
integral of sqrt(2)e^t	\int\:\sqrt{2}e^{t}dt
(dy)/(dx)=18-y	\frac{dy}{dx}=18-y
(dy)/(dx)=x-2y+12	\frac{dy}{dx}=x-2y+12
derivative of f(x)=5x+7	derivative\:f(x)=5x+7
(\partial)/(\partial x)(((x-y))/(x+2y))	\frac{\partial\:}{\partial\:x}(\frac{(x-y)}{x+2y})
slope ofintercept 6x^2+xy+3y^2=40	slopeintercept\:6x^{2}+xy+3y^{2}=40
derivative of 2x^3sqrt(x+1)	derivative\:2x^{3}\sqrt{x+1}
integral of e^{ln\|t\|}	\int\:e^{\ln\left\|t\right\|}dt
integral of 1/S	\int\:\frac{1}{S}dS
slope of f(x)=((x-4))/(sqrt(x)-2)	slope\:f(x)=\frac{(x-4)}{\sqrt{x}-2}
integral of (5r^2)/(r+5)	\int\:\frac{5r^{2}}{r+5}dr
integral of tsec^2(8t)	\int\:t\sec^{2}(8t)dt
(d^2y)/(dt^2)+7(dy)/(dt)+12y=0	\frac{d^{2}y}{dt^{2}}+7\frac{dy}{dt}+12y=0
integral from 2 to 5 of e^{1.5t}-2t	\int\:_{2}^{5}e^{1.5t}-2tdt
integral of 1+9/4 x	\int\:1+\frac{9}{4}xdx
integral of x(1-4x^2)^{-1/2}	\int\:x(1-4x^{2})^{-\frac{1}{2}}dx
integral of (32x^2)/((x-9)(x+3)^2)	\int\:\frac{32x^{2}}{(x-9)(x+3)^{2}}dx
f(x)=ln(2x-1)	f(x)=\ln(2x-1)
(\partial)/(\partial x)(csc(2x))	\frac{\partial\:}{\partial\:x}(\csc(2x))
y^'(x)=(6x^2)/(6y^2-11),y(1)=0	y^{\prime\:}(x)=\frac{6x^{2}}{6y^{2}-11},y(1)=0
integral of 16+x^2	\int\:16+x^{2}dx
integral of (e^{5x})/((e^{2x)+1)^2}	\int\:\frac{e^{5x}}{(e^{2x}+1)^{2}}dx
y^'=20t^4-20t^3+3-4t^{-2}	y^{\prime\:}=20t^{4}-20t^{3}+3-4t^{-2}
derivative of x^{0.75}	\frac{d}{dx}(x^{0.75})
integral of sin(x)(cos(x))^3	\int\:\sin(x)(\cos(x))^{3}dx
f(x)= 1/(4x)	f(x)=\frac{1}{4x}
integral of x(1-2x^2)^9	\int\:x(1-2x^{2})^{9}dx
integral of x^4e^{12x}	\int\:x^{4}e^{12x}dx
integral from 1 to 2 of 6r^4ln(r)	\int\:_{1}^{2}6r^{4}\ln(r)dr
maclaurin (1+x)^{-3}	maclaurin\:(1+x)^{-3}
integral of-cos(x)sin(2x)	\int\:-\cos(x)\sin(2x)dx
integral of 5sqrt(1-x^2)	\int\:5\sqrt{1-x^{2}}dx
integral of (e^{-5x})	\int\:(e^{-5x})dx
xy^2(dy)/(dx)=x^3+y^3	xy^{2}\frac{dy}{dx}=x^{3}+y^{3}
integral of-(2x^3+24x)/(x^4-16)	\int\:-\frac{2x^{3}+24x}{x^{4}-16}dx
(1+y^2)dx=xdy	(1+y^{2})dx=xdy
derivative of y=sqrt(x)	derivative\:y=\sqrt{x}
inverse oflaplace ((s^2+5))/((s^2+5s+16))	inverselaplace\:\frac{(s^{2}+5)}{(s^{2}+5s+16)}
integral of (40-2/(sec(x)))	\int\:(40-\frac{2}{\sec(x)})dx
limit as x approaches 9 of sqrt(7x-4)	\lim\:_{x\to\:9}(\sqrt{7x-4})
derivative of f(x)=(x-3)(4x+2)	derivative\:f(x)=(x-3)(4x+2)
derivative of f(x)=2sin^2(3x)+2cos^2(3x)	derivative\:f(x)=2\sin^{2}(3x)+2\cos^{2}(3x)
integral from-2 to 2 of sqrt(x+2)	\int\:_{-2}^{2}\sqrt{x+2}dx
derivative of f(x)=((x-4)/(x+4))^4	derivative\:f(x)=(\frac{x-4}{x+4})^{4}
integral of ((x+6))/((x+7))	\int\:\frac{(x+6)}{(x+7)}dx
d/(dy)(2x-y)	\frac{d}{dy}(2x-y)
integral of 1/(9-2x)	\int\:\frac{1}{9-2x}dx
integral of (x^3)/(sqrt(x^2+25))	\int\:\frac{x^{3}}{\sqrt{x^{2}+25}}dx

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