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Popular Calculus Problems

integral of 3x+4	\int\:3x+4dx
derivative of a/b	\frac{d}{dx}(\frac{a}{b})
derivative of (2x^6+1)/(8x^2)	derivative\:\frac{2x^{6}+1}{8x^{2}}
integral of (cos(u))/(3a)	\int\:\frac{\cos(u)}{3a}du
integral from 0 to 1 of 12cos(x^2)	\int\:_{0}^{1}12\cos(x^{2})dx
limit as x approaches pi/4 of cot(4x)	\lim\:_{x\to\:\frac{π}{4}}(\cot(4x))
sum from n=0 to infinity of sin(2n)	\sum\:_{n=0}^{\infty\:}\sin(2n)
derivative of (sqrt(x)+x)/(x^2)	derivative\:\frac{\sqrt{x}+x}{x^{2}}
(\partial)/(\partial x)(4xln(xy))	\frac{\partial\:}{\partial\:x}(4x\ln(xy))
integral of x^{11}	\int\:x^{11}dx
y^{''}+4y=1	y^{\prime\:\prime\:}+4y=1
y^'+y=-cos(6x)	y^{\prime\:}+y=-\cos(6x)
integral of xsec^2(3x)	\int\:x\sec^{2}(3x)dx
lcm of,xsqrt(2x-3)	lcm\:of,x\sqrt{2x-3}
area y=9-x^2,y=0	area\:y=9-x^{2},y=0
(\partial)/(\partial x)(7+xln(xy-7))	\frac{\partial\:}{\partial\:x}(7+x\ln(xy-7))
derivative of f(x)=θsin(θ)	derivative\:f(x)=θ\sin(θ)
derivative of-1/((x+2^2))	\frac{d}{dx}(-\frac{1}{(x+2)^{2}})
integral of sec(ax)	\int\:\sec(ax)dx
derivative of (4x^2-14^{-10})	\frac{d}{dx}((4x^{2}-14)^{-10})
integral of 1/(sqrt((x^2-6x+25)^3))	\int\:\frac{1}{\sqrt{(x^{2}-6x+25)^{3}}}dx
integral from 1 to 2 of (-8ln(x))/(x^2)	\int\:_{1}^{2}\frac{-8\ln(x)}{x^{2}}dx
derivative of (x-1)^3	derivative\:(x-1)^{3}
derivative of f(x)=1100sqrt(x^2-0.2x)	derivative\:f(x)=1100\sqrt{x^{2}-0.2x}
limit as x approaches 7 of (7/x-1)/(x-7)	\lim\:_{x\to\:7}(\frac{\frac{7}{x}-1}{x-7})
integral of 1/(4(x-1))	\int\:\frac{1}{4(x-1)}dx
(\partial)/(\partial x)(6sin(xy))	\frac{\partial\:}{\partial\:x}(6\sin(xy))
derivative of ((x+3/(x-3))^4)	\frac{d}{dx}((\frac{x+3}{x-3})^{4})
(\partial}{\partial x}(\frac{y-z)/x)	\frac{\partial\:}{\partial\:x}(\frac{y-z}{x})
integral from 0 to 1 of (sqrt(x)-x)^2	\int\:_{0}^{1}(\sqrt{x}-x)^{2}dx
inverse oflaplace (s-4)/(s^2-8s+10)	inverselaplace\:\frac{s-4}{s^{2}-8s+10}
derivative of t^{4/3}	derivative\:t^{\frac{4}{3}}
tangent of f(x)=x^3-9x+4,(3,4)	tangent\:f(x)=x^{3}-9x+4,(3,4)
(dy)/(dx)=((x-y))/((x+y))	\frac{dy}{dx}=\frac{(x-y)}{(x+y)}
taylor (1+x)^{-5}	taylor\:(1+x)^{-5}
(\partial)/(\partial y)(1/y e^{xy})	\frac{\partial\:}{\partial\:y}(\frac{1}{y}e^{xy})
integral from 1 to 13 of (x-1)/(72)	\int\:_{1}^{13}\frac{x-1}{72}dx
slope ofintercept (-1,1),(1,0)	slopeintercept\:(-1,1),(1,0)
derivative of 2/(cos(7x))	\frac{d}{dx}(\frac{2}{\cos(7x)})
tangent of f(x)=x^4	tangent\:f(x)=x^{4}
d/(dt)(-5sin(t))	\frac{d}{dt}(-5\sin(t))
tangent of y=x+2/x ,(2,3)	tangent\:y=x+\frac{2}{x},(2,3)
integral of t^4e^{-t^5}	\int\:t^{4}e^{-t^{5}}dt
(d^2)/(dx^2)(-e^{-x^2})	\frac{d^{2}}{dx^{2}}(-e^{-x^{2}})
(\partial)/(\partial x)(Ax+By+Cx^2y)	\frac{\partial\:}{\partial\:x}(Ax+By+Cx^{2}y)
laplacetransform 5t^2	laplacetransform\:5t^{2}
limit as x approaches-6-of (\|x+6\|)/(x+6)	\lim\:_{x\to\:-6-}(\frac{\left\|x+6\right\|}{x+6})
integral from 0 to 1 of (x^2+1)	\int\:_{0}^{1}(x^{2}+1)dx
(\partial)/(\partial x)(-5y^4sin(5x))	\frac{\partial\:}{\partial\:x}(-5y^{4}\sin(5x))
(dy)/(dx)=(3x-9)/(2x+8)	\frac{dy}{dx}=\frac{3x-9}{2x+8}
limit as x approaches 0 of (1-e^{-2x})/x	\lim\:_{x\to\:0}(\frac{1-e^{-2x}}{x})
(dy)/(dx)=2+e^{-2x+y+1}	\frac{dy}{dx}=2+e^{-2x+y+1}
tangent of y=2x-3x^2	tangent\:y=2x-3x^{2}
derivative of cos^3(5x)	\frac{d}{dx}(\cos^{3}(5x))
integral from 0 to 1 of (2t)/((2-t)^2)	\int\:_{0}^{1}\frac{2t}{(2-t)^{2}}dt
integral of (x^3)/(x^2-9)	\int\:\frac{x^{3}}{x^{2}-9}dx
derivative of 9/((1-x)^2)	derivative\:\frac{9}{(1-x)^{2}}
sum from n=1 to infinity of 1/(n^5)	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{5}}
derivative of f(x)=(12-x)sqrt(24x-144)	derivative\:f(x)=(12-x)\sqrt{24x-144}
y^{'''}-y^{''}+6y^'-6y=0	y^{\prime\:\prime\:\prime\:}-y^{\prime\:\prime\:}+6y^{\prime\:}-6y=0
(dy)/(dx)=(3y)/(x^2)	\frac{dy}{dx}=\frac{3y}{x^{2}}
(t+2y+5)dt-dy=0	(t+2y+5)dt-dy=0
derivative of ((3x^2/(2x+4))^3)	\frac{d}{dx}((\frac{3x^{2}}{2x+4})^{3})
inverse oflaplace (5*e^{-2s})/(s-1)	inverselaplace\:\frac{5\cdot\:e^{-2s}}{s-1}
integral of cos(x)+sec^2(x)	\int\:\cos(x)+\sec^{2}(x)dx
integral of 5	\int\:5dx
tangent of x^2-3x+2	tangent\:x^{2}-3x+2
(\partial)/(\partial x)(x+xy)	\frac{\partial\:}{\partial\:x}(x+xy)
integral of 1/(sin(x)-cos(x)+2)	\int\:\frac{1}{\sin(x)-\cos(x)+2}dx
integral of 8xsin(x)	\int\:8x\sin(x)dx
derivative of y=(x+y+3)^2	\frac{d}{dx}y=(x+y+3)^{2}
integral of 5e^{6-3x}	\int\:5e^{6-3x}dx
derivative of sqrt(1+10x)-sqrt(1-3x)	derivative\:\sqrt{1+10x}-\sqrt{1-3x}
derivative of e^{mx}cos(nx)	\frac{d}{dx}(e^{mx}\cos(nx))
integral of (u^2)/1	\int\:\frac{u^{2}}{1}du
integral from 0 to infinity of ue^{-u}	\int\:_{0}^{\infty\:}ue^{-u}du
limit as x approaches 0 of ((x+1)^3)/x	\lim\:_{x\to\:0}(\frac{(x+1)^{3}}{x})
integral from 0 to 2 of (4ti-t^3j+5t^9k)	\int\:_{0}^{2}(4ti-t^{3}j+5t^{9}k)dt
f(x)=coth(x)	f(x)=\coth(x)
taylor 1-1/(x^2)	taylor\:1-\frac{1}{x^{2}}
limit as x approaches 0 of (e^x)/(1-e^x)	\lim\:_{x\to\:0}(\frac{e^{x}}{1-e^{x}})
(\partial)/(\partial x)(2x^2-4x+1)	\frac{\partial\:}{\partial\:x}(2x^{2}-4x+1)
integral of (3-2x)^2	\int\:(3-2x)^{2}dx
derivative of f(x)= 1/4 x^8	derivative\:f(x)=\frac{1}{4}x^{8}
derivative of (1-sin(x)/(1-cos(x)))	\frac{d}{dx}(\frac{1-\sin(x)}{1-\cos(x)})
laplacetransform t^3cos(t)	laplacetransform\:t^{3}\cos(t)
integral of 1/(x^4+x)	\int\:\frac{1}{x^{4}+x}dx
limit as x approaches 0 of ((2-x)^2-4)/x	\lim\:_{x\to\:0}(\frac{(2-x)^{2}-4}{x})
area x^3-x,3x	area\:x^{3}-x,3x
(\partial)/(\partial x)(x^2sin^2(y))	\frac{\partial\:}{\partial\:x}(x^{2}\sin^{2}(y))
(\partial)/(\partial x)(y^3sin(4x))	\frac{\partial\:}{\partial\:x}(y^{3}\sin(4x))
integral of 1/(x+sqrt(x^2+1))	\int\:\frac{1}{x+\sqrt{x^{2}+1}}dx
limit as x approaches-1-of sqrt(x+1)	\lim\:_{x\to\:-1-}(\sqrt{x+1})
derivative of tan(ax)	\frac{d}{dx}(\tan(ax))
derivative of (sin(2x)7777774)	\frac{d}{dx}((\sin(2x))7777774)
inverse oflaplace 1+4/(s(s+2))	inverselaplace\:1+\frac{4}{s(s+2)}
integral of (x+3)/(x^2+8x-9)	\int\:\frac{x+3}{x^{2}+8x-9}dx
(\partial)/(\partial y)(xysqrt(x^2+y^2))	\frac{\partial\:}{\partial\:y}(xy\sqrt{x^{2}+y^{2}})
integral of xsqrt(3x^2+4)	\int\:x\sqrt{3x^{2}+4}dx
integral of (5x)/(x^2+1)	\int\:\frac{5x}{x^{2}+1}dx

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