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Popular Calculus Problems

integral of \sqrt[4]{x}+1/(\sqrt[4]{x)}	\int\:\sqrt[4]{x}+\frac{1}{\sqrt[4]{x}}dx
integral of 5xe^{-2x}	\int\:5xe^{-2x}dx
inverse oflaplace 2/(s+3)	inverselaplace\:\frac{2}{s+3}
inverse oflaplace (s+1)/((s^2+9))	inverselaplace\:\frac{s+1}{(s^{2}+9)}
tangent of f(x)=2x^2-3x-2,\at x=6	tangent\:f(x)=2x^{2}-3x-2,\at\:x=6
integral from-infinity to-1 of e^{-4t}	\int\:_{-\infty\:}^{-1}e^{-4t}dt
derivative of f(x)=((e^x))/(7x^2+1)	derivative\:f(x)=\frac{(e^{x})}{7x^{2}+1}
integral of x^3sqrt(2x^4+3)	\int\:x^{3}\sqrt{2x^{4}+3}dx
(\partial)/(\partial r)(rln(r^2+s^2))	\frac{\partial\:}{\partial\:r}(r\ln(r^{2}+s^{2}))
integral of (3x^2-8x)	\int\:(3x^{2}-8x)dx
integral of (sqrt(2+\sqrt{x)})/(sqrt(x))	\int\:\frac{\sqrt{2+\sqrt{x}}}{\sqrt{x}}dx
limit as x approaches 1-of x+1	\lim\:_{x\to\:1-}(x+1)
tangent of y=x^2-3x,(3,0)	tangent\:y=x^{2}-3x,(3,0)
y^'-3y=4e^{5t},y(0)=5	y^{\prime\:}-3y=4e^{5t},y(0)=5
y-x(dy)/(dx)=3-2x^2(dy)/(dx)	y-x\frac{dy}{dx}=3-2x^{2}\frac{dy}{dx}
integral of 1/(x(x-8)^2)	\int\:\frac{1}{x(x-8)^{2}}dx
derivative of pix^2y	\frac{d}{dx}(πx^{2}y)
integral from 0 to 1 of ln(9x)	\int\:_{0}^{1}\ln(9x)dx
integral of 7x+2	\int\:7x+2dx
integral of (sqrt(z)-z)^2	\int\:(\sqrt{z}-z)^{2}dz
integral of x/(sqrt(16-x^2))	\int\:\frac{x}{\sqrt{16-x^{2}}}dx
limit as x approaches 2-of x	\lim\:_{x\to\:2-}(x)
derivative of sin(20x)	\frac{d}{dx}(\sin(20x))
derivative of (x^2-5^2)	\frac{d}{dx}((x^{2}-5)^{2})
derivative of 16sqrt(x)	derivative\:16\sqrt{x}
integral of (12ln(x))/x	\int\:\frac{12\ln(x)}{x}dx
area y= 9/x ,y=3x,y= 1/3 x	area\:y=\frac{9}{x},y=3x,y=\frac{1}{3}x
derivative of e^{-x}(cos(2x+sin(2x)))	\frac{d}{dx}(e^{-x}(\cos(2x)+\sin(2x)))
laplacetransform e^{-2t}cos(3t)+5e^{-2t}sin(3t)	laplacetransform\:e^{-2t}\cos(3t)+5e^{-2t}\sin(3t)
limit as x approaches 2-of (x-2)/(x^2-4)	\lim\:_{x\to\:2-}(\frac{x-2}{x^{2}-4})
derivative of (x^2-2)/(x^2+2)	derivative\:\frac{x^{2}-2}{x^{2}+2}
derivative of f(x)=5\sqrt[3]{x}	derivative\:f(x)=5\sqrt[3]{x}
integral of sin(6x)cos(8x)	\int\:\sin(6x)\cos(8x)dx
inverse oflaplace ((s+1)^2)/s	inverselaplace\:\frac{(s+1)^{2}}{s}
derivative of sqrt((x-8^3))	\frac{d}{dx}(\sqrt{(x-8)^{3}})
limit as x approaches 0+of [x-sin(x)]	\lim\:_{x\to\:0+}([x-\sin(x)])
limit as x approaches 1+of (x-1)^{ln(x)}	\lim\:_{x\to\:1+}((x-1)^{\ln(x)})
derivative of arccos(arcsin(t))	\frac{d}{dx}(\arccos(\arcsin(t)))
d/(ds)((3s^3+19s^2+41s+26)/((s+1)))	\frac{d}{ds}(\frac{3s^{3}+19s^{2}+41s+26}{(s+1)})
(\partial)/(\partial x)(xsin(8/x))	\frac{\partial\:}{\partial\:x}(x\sin(\frac{8}{x}))
limit as x approaches 0 of cos^2(x)*x	\lim\:_{x\to\:0}(\cos^{2}(x)\cdot\:x)
sum from n=0 to infinity of 1/(n+16)	\sum\:_{n=0}^{\infty\:}\frac{1}{n+16}
(d^2y)/(dx^2)+a*y=0	\frac{d^{2}y}{dx^{2}}+a\cdot\:y=0
limit as x approaches 4-of (x-4)/(x-3)	\lim\:_{x\to\:4-}(\frac{x-4}{x-3})
integral of (((ln(x)))/x)^2	\int\:(\frac{(\ln(x))}{x})^{2}dx
integral of ((1+sin(x)))/(x^3)	\int\:\frac{(1+\sin(x))}{x^{3}}dx
integral of 1/(sqrt(4+t^2))	\int\:\frac{1}{\sqrt{4+t^{2}}}dt
limit as x approaches 3+of (x-3)/(x-3)	\lim\:_{x\to\:3+}(\frac{x-3}{x-3})
derivative of ln(12-9x^2+2x^4)	\frac{d}{dx}(\ln(12-9x^{2}+2x^{4}))
tangent of y=arcsin(x)	tangent\:y=\arcsin(x)
derivative of y=(x^2+3x-2)^4	derivative\:y=(x^{2}+3x-2)^{4}
integral of 1/(x^2+7x+6)	\int\:\frac{1}{x^{2}+7x+6}dx
limit as x approaches-2 of 8/(x-3)	\lim\:_{x\to\:-2}(\frac{8}{x-3})
(\partial)/(\partial u)(sqrt(u^9+v^5))	\frac{\partial\:}{\partial\:u}(\sqrt{u^{9}+v^{5}})
derivative of (x+8/(\sqrt[3]{3x-4)})	\frac{d}{dx}(\frac{x+8}{\sqrt[3]{3x-4}})
integral from 0 to pi of x+xcos(x)	\int\:_{0}^{π}x+x\cos(x)dx
limit as x approaches 5 of 4/x	\lim\:_{x\to\:5}(\frac{4}{x})
(\partial)/(\partial x)(cos(sqrt(x^2+y^2)))	\frac{\partial\:}{\partial\:x}(\cos(\sqrt{x^{2}+y^{2}}))
derivative of x/4 (1+ln(4/x))	\frac{d}{dx}(\frac{x}{4}(1+\ln(\frac{4}{x})))
integral of (5+x^4)sin(1/2 x)	\int\:(5+x^{4})\sin(\frac{1}{2}x)dx
integral from 2 to e^5 of 1/x	\int\:_{2}^{e^{5}}\frac{1}{x}dx
integral of cos^5(xsi)n^2x	\int\:\cos^{5}(xsi)n^{2}xdx
tangent of f(x)=2+e^x,\at x=1	tangent\:f(x)=2+e^{x},\at\:x=1
limit as x approaches 2 of-x^2+3x	\lim\:_{x\to\:2}(-x^{2}+3x)
integral of (3x^2+6x+2)/(x^2+3x+2)	\int\:\frac{3x^{2}+6x+2}{x^{2}+3x+2}dx
derivative of 5/(x^2+1)	\frac{d}{dx}(\frac{5}{x^{2}+1})
derivative of 9x-1	\frac{d}{dx}(9x-1)
derivative of y=2(x^2-7x)(2x-7)	derivative\:y=2(x^{2}-7x)(2x-7)
integral of cos(x)csc^9(x)	\int\:\cos(x)\csc^{9}(x)dx
x^3y^{'''}+6y=0	x^{3}y^{\prime\:\prime\:\prime\:}+6y=0
integral of 4sin(θ)	\int\:4\sin(θ)dθ
limit as x approaches 1 of 3x^3-4x^2+x+9	\lim\:_{x\to\:1}(3x^{3}-4x^{2}+x+9)
limit as x approaches 1-of x^3+1	\lim\:_{x\to\:1-}(x^{3}+1)
derivative of f(x)=x^2+5x+6	derivative\:f(x)=x^{2}+5x+6
y^2y^'+y^3=1	y^{2}y^{\prime\:}+y^{3}=1
integral of x^2-5x+7	\int\:x^{2}-5x+7dx
integral of e^{-u^2}	\int\:e^{-u^{2}}du
sum from n=1 to infinity of (7/8)^{n-1}	\sum\:_{n=1}^{\infty\:}(\frac{7}{8})^{n-1}
derivative of e^{x/(x-8})	\frac{d}{dx}(e^{\frac{x}{x-8}})
integral of (9x^2-8x)e^{2x}	\int\:(9x^{2}-8x)e^{2x}dx
y^{''}-6y+9y=0	y^{\prime\:\prime\:}-6y+9y=0
(dy)/(dx)=((2x^2+3)(3x+2))/(7x-3)	\frac{dy}{dx}=\frac{(2x^{2}+3)(3x+2)}{7x-3}
(x+1)(dy)/(dx)=x+6	(x+1)\frac{dy}{dx}=x+6
derivative of cotan(2x)	\frac{d}{dx}(co\tan(2x))
integral of 1/(7+9x^2)	\int\:\frac{1}{7+9x^{2}}dx
(2x-1)dx+(3x+7)dy=0	(2x-1)dx+(3x+7)dy=0
derivative of 1/(In(x+2))	\frac{d}{dx}(\frac{1}{In(x+2)})
integral of [5x+2/(3x^5)]	\int\:[5x+\frac{2}{3x^{5}}]dx
derivative of 2ax+b/x	derivative\:2ax+\frac{b}{x}
(\partial)/(\partial x)(xe^{y^2}-ye^{x^2})	\frac{\partial\:}{\partial\:x}(xe^{y^{2}}-ye^{x^{2}})
derivative of e^{2x}-x^2-1	\frac{d}{dx}(e^{2x}-x^{2}-1)
limit as x approaches 4 of 4-x	\lim\:_{x\to\:4}(4-x)
integral from 1 to 3 of x/(x^2+6x+13)	\int\:_{1}^{3}\frac{x}{x^{2}+6x+13}dx
integral from 0 to pi of 11cos^6(x)	\int\:_{0}^{π}11\cos^{6}(x)dx
sum from n=2 to infinity of ln(n-1)	\sum\:_{n=2}^{\infty\:}\ln(n-1)
derivative of 5(3t+4)^2	derivative\:5(3t+4)^{2}
y^'-(2/x y)=y^5x^{-3}	y^{\prime\:}-(\frac{2}{x}y)=y^{5}x^{-3}
derivative of x^3ln(4x)	derivative\:x^{3}\ln(4x)
integral of e^{7x}cos(2x)	\int\:e^{7x}\cos(2x)dx
limit as x approaches 2+of 2-x	\lim\:_{x\to\:2+}(2-x)

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