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Popular Calculus Problems

derivative of 4sqrt(x-2)	derivative\:4\sqrt{x-2}
derivative of g(t)= 7/(8t^4)	derivative\:g(t)=\frac{7}{8t^{4}}
integral of sin^4(x)cos^4(x)	\int\:\sin^{4}(x)\cos^{4}(x)dx
derivative of x^ay^b	\frac{d}{dx}(x^{a}y^{b})
derivative of (1/(x^2)-5/(x^4))(x+8x^3)	derivative\:(\frac{1}{x^{2}}-\frac{5}{x^{4}})(x+8x^{3})
integral of 7x^3(x-5)^{-4}	\int\:7x^{3}(x-5)^{-4}dx
inverse oflaplace 2/s+3/(s+1)	inverselaplace\:\frac{2}{s}+\frac{3}{s+1}
derivative of ((4x^2+6x+4)/(sqrt(x)))	\frac{d}{dx}(\frac{(4x^{2}+6x+4)}{\sqrt{x}})
taylor ((e^t))/(1+t)	taylor\:\frac{(e^{t})}{1+t}
derivative of (24/((x+1)^5))	\frac{d}{dx}(\frac{24}{(x+1)^{5}})
derivative of 1/x	derivative\:\frac{1}{x}
area y=2x,y=9x^2	area\:y=2x,y=9x^{2}
derivative of-18x-(17/x)	\frac{d}{dx}(-18x-\frac{17}{x})
integral of (-8y^3)	\int\:(-8y^{3})dy
integral of t^3e^{-5t}	\int\:t^{3}e^{-5t}dt
d/(d{z)}({x}{z})	\frac{d}{d{z}}({x}{z})
4yy^'=x	4yy^{\prime\:}=x
integral of (x^2)/((3+x^3)^2)	\int\:\frac{x^{2}}{(3+x^{3})^{2}}dx
integral from 1 to 2 of 1/x-1/(x^2)	\int\:_{1}^{2}\frac{1}{x}-\frac{1}{x^{2}}dx
limit as x approaches 0 of 6x-1	\lim\:_{x\to\:0}(6x-1)
integral of (-3)/(x^2sqrt(x^2-9))	\int\:\frac{-3}{x^{2}\sqrt{x^{2}-9}}dx
integral of cos(ln(7x))	\int\:\cos(\ln(7x))dx
limit as x approaches 0 of-x^6	\lim\:_{x\to\:0}(-x^{6})
limit as x approaches 4-of x/(x+4)	\lim\:_{x\to\:4-}(\frac{x}{x+4})
integral of (x^2)/((x^3-1)^2)	\int\:\frac{x^{2}}{(x^{3}-1)^{2}}dx
limit as x approaches 0 of xln(1/x)	\lim\:_{x\to\:0}(x\ln(\frac{1}{x}))
inverse oflaplace 1/((s-1)^2*(s+5))	inverselaplace\:\frac{1}{(s-1)^{2}\cdot\:(s+5)}
y^{''}+100y=0	y^{\prime\:\prime\:}+100y=0
y^{''}+2y^'+5y=3cos(x)	y^{\prime\:\prime\:}+2y^{\prime\:}+5y=3\cos(x)
ty^'+(t+1)y=t,y(ln(2))=1	ty^{\prime\:}+(t+1)y=t,y(\ln(2))=1
integral of (6sin(2x)+sec^2(x))	\int\:(6\sin(2x)+\sec^{2}(x))dx
integral of (125x^9)	\int\:(125x^{9})dx
inverse oflaplace 1/s	inverselaplace\:\frac{1}{s}
integral from 0 to 2 of 6x-x^2	\int\:_{0}^{2}6x-x^{2}dx
derivative of cos^3(x^2-x)	\frac{d}{dx}(\cos^{3}(x^{2}-x))
integral of \sqrt[3]{1-4sin(x)}*cos(x)	\int\:\sqrt[3]{1-4\sin(x)}\cdot\:\cos(x)dx
y^2y^'+y^3=1,y(0)=0	y^{2}y^{\prime\:}+y^{3}=1,y(0)=0
integral from 2 to infinity of e^{-2x}	\int\:_{2}^{\infty\:}e^{-2x}dx
derivative of f(x)=xcos(x^2)	derivative\:f(x)=x\cos(x^{2})
limit as x approaches 5 of 2x	\lim\:_{x\to\:5}(2x)
derivative of 4sec(x)tan(x)	derivative\:4\sec(x)\tan(x)
y^'=3x+y,y(0)=3	y^{\prime\:}=3x+y,y(0)=3
derivative of 1/(4-x^2)	derivative\:\frac{1}{4-x^{2}}
integral of (2sin(t)cos(t))	\int\:(2\sin(t)\cos(t))dt
limit as n approaches infinity of n!+n^3	\lim\:_{n\to\:\infty\:}(n!+n^{3})
limit as x approaches 5 of 3x-7	\lim\:_{x\to\:5}(3x-7)
integral of 2/(3x-4)	\int\:\frac{2}{3x-4}dx
integral from 1 to 3 of (9^x-7^x)	\int\:_{1}^{3}(9^{x}-7^{x})dx
(\partial)/(\partial s)(2s^2+t^2)	\frac{\partial\:}{\partial\:s}(2s^{2}+t^{2})
1/4 y^{''}+y^'+y=x^2-5x	\frac{1}{4}y^{\prime\:\prime\:}+y^{\prime\:}+y=x^{2}-5x
derivative of f(x)= 3/(2x^5)	derivative\:f(x)=\frac{3}{2x^{5}}
integral of 1/(sqrt(t^2-6t+13))	\int\:\frac{1}{\sqrt{t^{2}-6t+13}}dt
integral of ln(8x+1)	\int\:\ln(8x+1)dx
inverse oflaplace ((2s+1))/(s^2-6s+7)	inverselaplace\:\frac{(2s+1)}{s^{2}-6s+7}
limit as h approaches 0 of ((5+h)-5)/h	\lim\:_{h\to\:0}(\frac{(5+h)-5}{h})
integral of cos^4(x)sin^4(x)	\int\:\cos^{4}(x)\sin^{4}(x)dx
derivative of y=tan(4x^2)	derivative\:y=\tan(4x^{2})
implicit sqrt(x)+sqrt(y)=8	implicit\:\sqrt{x}+\sqrt{y}=8
derivative of y= 5/(\sqrt[4]{x)}	derivative\:y=\frac{5}{\sqrt[4]{x}}
integral of t/(t^4+3)	\int\:\frac{t}{t^{4}+3}dt
derivative of 1/(sqrt(3x^2-1))	\frac{d}{dx}(\frac{1}{\sqrt{3x^{2}-1}})
derivative of 20x-16x^2	derivative\:20x-16x^{2}
integral of 2/((x+1)(x-1))	\int\:\frac{2}{(x+1)(x-1)}dx
d/(dy)(y+1)	\frac{d}{dy}(y+1)
inverse oflaplace 4/s+6/(s^5)-1/(s+8)	inverselaplace\:\frac{4}{s}+\frac{6}{s^{5}}-\frac{1}{s+8}
derivative of sqrt(2+5x)	\frac{d}{dx}(\sqrt{2+5x})
limit as x approaches infinity of sqrt(9x^2+x)-3	\lim\:_{x\to\:\infty\:}(\sqrt{9x^{2}+x}-3)
integral of 1/((x+1)sqrt(x^2+2x-8))	\int\:\frac{1}{(x+1)\sqrt{x^{2}+2x-8}}dx
integral of (3x-1)/(x^2+9)	\int\:\frac{3x-1}{x^{2}+9}dx
derivative of ln({g}(x))	\frac{d}{dx}(\ln({g}(x)))
integral of x/((x^2+9)^2)	\int\:\frac{x}{(x^{2}+9)^{2}}dx
derivative of sqrt(3/(x-1))	derivative\:\sqrt{\frac{3}{x-1}}
integral of arctan(t^2)	\int\:\arctan(t^{2})dt
tangent of f(x)=-0.5x^2,\at x=10	tangent\:f(x)=-0.5x^{2},\at\:x=10
integral from 0 to 1 of 4(1+sqrt(x))^5	\int\:_{0}^{1}4(1+\sqrt{x})^{5}dx
y^{''}+y=3csc^2(t)	y^{\prime\:\prime\:}+y=3\csc^{2}(t)
(\partial)/(\partial x)((6y)/(x^2+y^2+5))	\frac{\partial\:}{\partial\:x}(\frac{6y}{x^{2}+y^{2}+5})
derivative of (4x-5^3)	\frac{d}{dx}((4x-5)^{3})
integral of 1/(e^{-3x)}	\int\:\frac{1}{e^{-3x}}dx
d/(dy)(cos(x)y)	\frac{d}{dy}(\cos(x)y)
integral of 25arctan(sqrt(x))	\int\:25\arctan(\sqrt{x})dx
integral from 1 to infinity of 3e^{-x}	\int\:_{1}^{\infty\:}3e^{-x}dx
integral of 12t+12	\int\:12t+12dt
integral of 9/((1-x^2)^{3/2)}	\int\:\frac{9}{(1-x^{2})^{\frac{3}{2}}}dx
integral of 9/(sqrt(x))	\int\:\frac{9}{\sqrt{x}}dx
integral of sqrt(4x-1)	\int\:\sqrt{4x-1}dx
(16xy-3x^2)dx+(8x^2+2y)dy=0	(16xy-3x^{2})dx+(8x^{2}+2y)dy=0
derivative of (2x-3/((x^2+4)^2))	\frac{d}{dx}(\frac{2x-3}{(x^{2}+4)^{2}})
laplacetransform sin(3t)cos(3t)	laplacetransform\:\sin(3t)\cos(3t)
2y^{''}+11y^'-6y=0	2y^{\prime\:\prime\:}+11y^{\prime\:}-6y=0
3ydx+2xdy=0	3ydx+2xdy=0
derivative of \sqrt[5]{x^8}	\frac{d}{dx}(\sqrt[5]{x^{8}})
derivative of sin(x+2y)	\frac{d}{dx}(\sin(x+2y))
y^'=2sqrt(y)	y^{\prime\:}=2\sqrt{y}
derivative of (x^9e^x/(x^9+e^x))	\frac{d}{dx}(\frac{x^{9}e^{x}}{x^{9}+e^{x}})
maclaurin cos(θ)	maclaurin\:\cos(θ)
implicit (dy)/(dx),(3xy+7)^2=6y	implicit\:\frac{dy}{dx},(3xy+7)^{2}=6y
integral of 3/8 x^2	\int\:\frac{3}{8}x^{2}dx
area y=sqrt(x),y=x-2,y=0	area\:y=\sqrt{x},y=x-2,y=0
tangent of f(x)=3x^{-2},\at x=4	tangent\:f(x)=3x^{-2},\at\:x=4

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