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Popular Calculus Problems

integral of (9-x^2)^{1/2}	\int\:(9-x^{2})^{\frac{1}{2}}dx
laplacetransform sin(4x)	laplacetransform\:\sin(4x)
laplacetransform (t-1)^3	laplacetransform\:(t-1)^{3}
derivative of ((x^2-5x)/(x-2))	\frac{d}{dx}(\frac{(x^{2}-5x)}{x-2})
derivative of (x^2)/(5+2x)	derivative\:\frac{x^{2}}{5+2x}
derivative of (x^2-1)^3	derivative\:(x^{2}-1)^{3}
inverse oflaplace s/((s^2-1)^2)	inverselaplace\:\frac{s}{(s^{2}-1)^{2}}
derivative of-ln^4(2sin^2(x^3-1))	\frac{d}{dx}(-\ln^{4}(2\sin^{2}(x)^{3}-1))
xy^'= 1/(xy)	xy^{\prime\:}=\frac{1}{xy}
integral of ((x^3)/(sqrt(1+x^4)))	\int\:(\frac{x^{3}}{\sqrt{1+x^{4}}})dx
(\partial)/(\partial x)(e^{4xy}ln(7y))	\frac{\partial\:}{\partial\:x}(e^{4xy}\ln(7y))
derivative of a/(\sqrt[3]{x^2})	\frac{d}{dx}(\frac{a}{\sqrt[3]{x^{2}}})
integral from 0 to 100 of 37cos(x/(80))	\int\:_{0}^{100}37\cos(\frac{x}{80})dx
integral of sin^3(4xco)s^24x	\int\:\sin^{3}(4xco)s^{2}4xdx
2xy^'+y=8x^3	2xy^{\prime\:}+y=8x^{3}
limit as (x,y) approaches (0,1) of x^3y	\lim\:_{(x,y)\to\:(0,1)}(x^{3}y)
limit as x approaches 0 of 5x+2	\lim\:_{x\to\:0}(5x+2)
limit as x approaches-2 of 2^x	\lim\:_{x\to\:-2}(2^{x})
derivative of ln^2(sqrt(x^2+5x+8))	\frac{d}{dx}(\ln^{2}(\sqrt{x^{2}+5x+8}))
limit as x approaches 0+of e^{(-1/x)}	\lim\:_{x\to\:0+}(e^{(-\frac{1}{x})})
derivative of h(t)=t^{3/4}-4t^{1/4}	derivative\:h(t)=t^{\frac{3}{4}}-4t^{\frac{1}{4}}
d/(dt)(2/t)	\frac{d}{dt}(\frac{2}{t})
derivative of 1/3 sqrt((16+x^2)^3)	derivative\:\frac{1}{3}\sqrt{(16+x^{2})^{3}}
integral of tan^4(x)sec^8(x)	\int\:\tan^{4}(x)\sec^{8}(x)dx
integral of (x-4)/(x^2-5x+6)	\int\:\frac{x-4}{x^{2}-5x+6}dx
limit as x approaches-2 of 5/(x^2)	\lim\:_{x\to\:-2}(\frac{5}{x^{2}})
derivative of (x+1^2)	\frac{d}{dx}((x+1)^{2})
limit as x approaches 1-of (x+1)/(x^4-1)	\lim\:_{x\to\:1-}(\frac{x+1}{x^{4}-1})
x^2y^{''}-2xy^'-4y=0,y(1)=0,y^'(1)=-5	x^{2}y^{\prime\:\prime\:}-2xy^{\prime\:}-4y=0,y(1)=0,y^{\prime\:}(1)=-5
derivative of x^4-(x^8/6-x^2sin(x^2))	\frac{d}{dx}(x^{4}-\frac{x^{8}}{6}-x^{2}\sin(x^{2}))
integral of (5x+4)^3	\int\:(5x+4)^{3}dx
(\partial)/(\partial x)(sin^2(t))	\frac{\partial\:}{\partial\:x}(\sin^{2}(t))
sum from n=0 to infinity of n/((3/2)^n)	\sum\:_{n=0}^{\infty\:}\frac{n}{(\frac{3}{2})^{n}}
inverse oflaplace ((s+1)^3)/(s^4)	inverselaplace\:\frac{(s+1)^{3}}{s^{4}}
integral of sqrt(t)	\int\:\sqrt{t}dt
integral of 3^{4x}	\int\:3^{4x}dx
integral of ((sin(2x))/(sin(x)))	\int\:(\frac{\sin(2x)}{\sin(x)})dx
derivative of 3-2e^x	derivative\:3-2e^{x}
(\partial)/(\partial x)(sqrt(x)+sqrt(y+4))	\frac{\partial\:}{\partial\:x}(\sqrt{x}+\sqrt{y+4})
derivative of 6ze^z+3e^zz^2	derivative\:6ze^{z}+3e^{z}z^{2}
inverse oflaplace ((s-1))/((s-1)(s-3))	inverselaplace\:\frac{(s-1)}{(s-1)(s-3)}
derivative of 2t^{-3/4}	derivative\:2t^{-\frac{3}{4}}
integral of (1+cos^2(x))/(cos^2(x))	\int\:\frac{1+\cos^{2}(x)}{\cos^{2}(x)}dx
integral of (ln(x))/((x+2)^2)	\int\:\frac{\ln(x)}{(x+2)^{2}}dx
integral of 3x^2+2x-1	\int\:3x^{2}+2x-1dx
derivative of 3x^2-x+5	\frac{d}{dx}(3x^{2}-x+5)
derivative of sin^6(x)	derivative\:\sin^{6}(x)
integral from 0 to 1/3 of 2arcsin(3y)	\int\:_{0}^{\frac{1}{3}}2\arcsin(3y)dy
integral of 9xe^{8x}	\int\:9xe^{8x}dx
integral of (e^{-3x}-1)^2	\int\:(e^{-3x}-1)^{2}dx
(dy)/(dx)-2y=2x	\frac{dy}{dx}-2y=2x
derivative of x^{8/5}	\frac{d}{dx}(x^{\frac{8}{5}})
derivative of e^x(x^2-3x+2)	\frac{d}{dx}(e^{x}(x^{2}-3x+2))
d/(dθ)(sec(θ)*tan(θ))	\frac{d}{dθ}(\sec(θ)\cdot\:\tan(θ))
integral of x/(2x)	\int\:\frac{x}{2x}dx
derivative of \sqrt[3]{2+tan(x})	\frac{d}{dx}(\sqrt[3]{2+\tan(x)})
integral of t^2sin(2t)	\int\:t^{2}\sin(2t)dt
derivative of f(x)=x^{1/4}	derivative\:f(x)=x^{\frac{1}{4}}
limit as x approaches+pi/2 of tan(x)	\lim\:_{x\to\:+\frac{π}{2}}(\tan(x))
derivative of 2+3sqrt(x)	derivative\:2+3\sqrt{x}
y^'-2y=t^2e^{2t}	y^{\prime\:}-2y=t^{2}e^{2t}
y^{''}+y=7sin(2t)+5tcos(2t)	y^{\prime\:\prime\:}+y=7\sin(2t)+5t\cos(2t)
derivative of (24)/((4x-17)^{5/2)}	derivative\:\frac{24}{(4x-17)^{\frac{5}{2}}}
derivative of y=8sqrt(9x^2+7)	derivative\:y=8\sqrt{9x^{2}+7}
derivative of y=arccos(4x)	derivative\:y=\arccos(4x)
limit as x approaches infinity of sqrt(x+1)	\lim\:_{x\to\:\infty\:}(\sqrt{x+1})
(e^tcos(t)+e^tsin(t)+e^t)^'	(e^{t}\cos(t)+e^{t}\sin(t)+e^{t})^{\prime\:}
derivative of cos^2(x)	derivative\:\cos^{2}(x)
integral of 5^xln(5)	\int\:5^{x}\ln(5)dx
integral from-pi to pi of cos^2(3x)	\int\:_{-π}^{π}\cos^{2}(3x)dx
integral from-1 to 22 of 21x-(x^2-22)	\int\:_{-1}^{22}21x-(x^{2}-22)dx
integral of 4x+2	\int\:4x+2dx
derivative of 1/2 e^{x^2}	\frac{d}{dx}(\frac{1}{2}e^{x^{2}})
derivative of (x^2)/(5(1-x))	derivative\:\frac{x^{2}}{5(1-x)}
tangent of f(x)=2x^2+x-1,\at a=-1	tangent\:f(x)=2x^{2}+x-1,\at\:a=-1
integral of 9sin(3x)	\int\:9\sin(3x)dx
limit as x approaches-2 of sqrt(x^2-4)	\lim\:_{x\to\:-2}(\sqrt{x^{2}-4})
derivative of f(x)=x^{4/3}	derivative\:f(x)=x^{\frac{4}{3}}
integral from 2pi to infinity of sin(x)	\int\:_{2π}^{\infty\:}\sin(x)dx
integral from 1 to e of ln(18x)	\int\:_{1}^{e}\ln(18x)dx
derivative of y=(x+1)sqrt(1-2x)	derivative\:y=(x+1)\sqrt{1-2x}
derivative of 3x-2x^2	\frac{d}{dx}(3x-2x^{2})
integral of x^4-1/2 x^3+1/4 x-2	\int\:x^{4}-\frac{1}{2}x^{3}+\frac{1}{4}x-2dx
integral of sin(pi/4 x)	\int\:\sin(\frac{π}{4}x)dx
integral of (1+3x)x^2	\int\:(1+3x)x^{2}dx
derivative of sin(xy^2)	derivative\:\sin(xy^{2})
derivative of (1458/((1+9x)^3))	\frac{d}{dx}(\frac{1458}{(1+9x)^{3}})
integral of (2sqrt(25+e^{8x)})/(e^{4x)}	\int\:\frac{2\sqrt{25+e^{8x}}}{e^{4x}}dx
limit as x approaches-3 of (x^3+27)/(x^2+13x+30)	\lim\:_{x\to\:-3}(\frac{x^{3}+27}{x^{2}+13x+30})
derivative of x^2sqrt(10x-1)	\frac{d}{dx}(x^{2}\sqrt{10x-1})
laplacetransform sin(θ)	laplacetransform\:\sin(θ)
derivative of f(x)=-sin(x)	derivative\:f(x)=-\sin(x)
derivative of (d/(dx(sqrt(x)))^2)	\frac{d}{dx}((\frac{d}{dx}(\sqrt{x}))^{2})
(dy)/(dx)=2xe^{2y}	\frac{dy}{dx}=2xe^{2y}
derivative of sqrt(2x-7)	\frac{d}{dx}(\sqrt{2x-7})
derivative of 1/(3x^4)	derivative\:\frac{1}{3x^{4}}
derivative of 2arctan(y/x)	\frac{d}{dx}(2\arctan(\frac{y}{x}))
(2)(1)(dy)/(dx)=7	(2)(1)\frac{dy}{dx}=7
integral of (sqrt(2x-1))/x	\int\:\frac{\sqrt{2x-1}}{x}dx
derivative of x^2sin(4x)	derivative\:x^{2}\sin(4x)

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