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Popular Calculus Problems

derivative of sqrt(8x)	derivative\:\sqrt{8x}
integral of (x^4-7x^2+5)/(x^4)	\int\:\frac{x^{4}-7x^{2}+5}{x^{4}}dx
integral from 0 to 3 of 1/((x-1)^{2/3)}	\int\:_{0}^{3}\frac{1}{(x-1)^{\frac{2}{3}}}dx
y^'=(t^3+19t^3y)/t	y^{\prime\:}=\frac{t^{3}+19t^{3}y}{t}
(\partial)/(\partial y)(-yz)	\frac{\partial\:}{\partial\:y}(-yz)
limit as x approaches-7 of 1/x	\lim\:_{x\to\:-7}(\frac{1}{x})
limit as x approaches 9 of cos((pix)/3)	\lim\:_{x\to\:9}(\cos(\frac{πx}{3}))
tangent of y=x^2-2x	tangent\:y=x^{2}-2x
integral of x^3sqrt(1+x^4)	\int\:x^{3}\sqrt{1+x^{4}}dx
tangent of f(x)= 1/(x-1),\at x=4	tangent\:f(x)=\frac{1}{x-1},\at\:x=4
integral of 4xsin(2x^2)	\int\:4x\sin(2x^{2})dx
(\partial)/(\partial x)(x^6+8xy^5)	\frac{\partial\:}{\partial\:x}(x^{6}+8xy^{5})
(\partial)/(\partial x)(3x+4y)	\frac{\partial\:}{\partial\:x}(3x+4y)
laplacetransform (25t)((t^2)/(25))	laplacetransform\:(25t)(\frac{t^{2}}{25})
derivative of y=(x^2+sin(x))^3	derivative\:y=(x^{2}+\sin(x))^{3}
tangent of f(x)=\sqrt[4]{x}-x,(1,0)	tangent\:f(x)=\sqrt[4]{x}-x,(1,0)
integral of (0.8x+1/(60^2))^{-1/2}	\int\:(0.8x+\frac{1}{60^{2}})^{-\frac{1}{2}}dx
integral from-1 to 3 of 1/5 x^3	\int\:_{-1}^{3}\frac{1}{5}x^{3}dx
tangent of f(x)=3arcsin(x),\at x= 1/2	tangent\:f(x)=3\arcsin(x),\at\:x=\frac{1}{2}
derivative of acsc(2(kx))	\frac{d}{dx}(a\csc(2)(kx))
integral of 5sec^4(x)	\int\:5\sec^{4}(x)dx
derivative of re^{rx}	\frac{d}{dx}(re^{rx})
derivative of 4(5-7x^5)	\frac{d}{dx}(4(5-7x)^{5})
derivative of f(x)= 3/((x+1)^2)	derivative\:f(x)=\frac{3}{(x+1)^{2}}
maclaurin e^{-5x^4}	maclaurin\:e^{-5x^{4}}
derivative of 2^{arcsech(x})	\frac{d}{dx}(2^{\arcsech(x)})
integral of x/(x^4+3)	\int\:\frac{x}{x^{4}+3}dx
inverse oflaplace (12s+8)/((s-1)^5)	inverselaplace\:\frac{12s+8}{(s-1)^{5}}
derivative of 3/(x^3)-1/(x^4)	derivative\:\frac{3}{x^{3}}-\frac{1}{x^{4}}
slope of (26 2/3 ,9),(5,2.5)	slope\:(26\frac{2}{3},9),(5,2.5)
limit as x approaches 0 of x^2cos(x)	\lim\:_{x\to\:0}(x^{2}\cos(x))
tangent of f(x)= 5/x ,\at x=5	tangent\:f(x)=\frac{5}{x},\at\:x=5
integral of (3x)/(x+1)	\int\:\frac{3x}{x+1}dx
integral of 64cos^4(8x)	\int\:64\cos^{4}(8x)dx
integral of 4e^{2t}	\int\:4e^{2t}dt
10y^{''}+60y^'+50y=0	10y^{\prime\:\prime\:}+60y^{\prime\:}+50y=0
derivative of e^{(-x/3})	\frac{d}{dx}(e^{\frac{-x}{3}})
integral of e^{2θ}cos(3θ)	\int\:e^{2θ}\cos(3θ)dθ
derivative of y=2x^2-12x+6	derivative\:y=2x^{2}-12x+6
integral of 1/(x-x^2)	\int\:\frac{1}{x-x^{2}}dx
derivative of pi*x^2	\frac{d}{dx}(π\cdot\:x^{2})
derivative of y=((3x^5+9))/(x^3)	derivative\:y=\frac{(3x^{5}+9)}{x^{3}}
d/(ds)(ln(s^2+9))	\frac{d}{ds}(\ln(s^{2}+9))
derivative of 4t^{-1/8}	derivative\:4t^{-\frac{1}{8}}
derivative of r(x)= 3/(x^4+2)	derivative\:r(x)=\frac{3}{x^{4}+2}
f(x)= 6/(x^3)	f(x)=\frac{6}{x^{3}}
derivative of sin(e^{3x})	\frac{d}{dx}(\sin(e^{3x}))
integral of 2/(\sqrt[3]{3x)}	\int\:\frac{2}{\sqrt[3]{3x}}dx
derivative of 1/(3^x)	derivative\:\frac{1}{3^{x}}
derivative of f(x)=(x^2-1)/(2x+2)	derivative\:f(x)=\frac{x^{2}-1}{2x+2}
derivative of f(x)=4x^4-5x^3+2x-3	derivative\:f(x)=4x^{4}-5x^{3}+2x-3
derivative of x/(a^2sqrt(a^2+x^2))	\frac{d}{dx}(\frac{x}{a^{2}\sqrt{a^{2}+x^{2}}})
derivative of 25ln(x^2-x^2)	\frac{d}{dx}(25\ln(x^{2})-x^{2})
integral from 1 to 4 of x	\int\:_{1}^{4}xdx
integral of e^{-5x}x	\int\:e^{-5x}xdx
implicit (dy)/(dx),x^{2/3}+y^{2/3}=3	implicit\:\frac{dy}{dx},x^{\frac{2}{3}}+y^{\frac{2}{3}}=3
integral of ((x^2-2x))/((x-1)^2)	\int\:\frac{(x^{2}-2x)}{(x-1)^{2}}dx
integral of x^6ln(x)	\int\:x^{6}\ln(x)dx
integral of e^{3-x}	\int\:e^{3-x}dx
(\partial)/(\partial z)(xe^{y/z})	\frac{\partial\:}{\partial\:z}(xe^{\frac{y}{z}})
derivative of e^{cos(x}*sin(x^2-x))	\frac{d}{dx}(e^{\cos(x)}\cdot\:\sin(x^{2}-x))
area 2x^2,2x+6,-1.3,2.3	area\:2x^{2},2x+6,-1.3,2.3
inverse oflaplace s/(s^2+10s+25)	inverselaplace\:\frac{s}{s^{2}+10s+25}
limit as x approaches 0 of 5/x-5/(x^2+x)	\lim\:_{x\to\:0}(\frac{5}{x}-\frac{5}{x^{2}+x})
limit as t approaches 1 of sqrt(t+3)	\lim\:_{t\to\:1}(\sqrt{t+3})
tangent of f(x)=2x^2-5x+3	tangent\:f(x)=2x^{2}-5x+3
limit as x approaches 0+of ln(1+sqrt(x))	\lim\:_{x\to\:0+}(\ln(1+\sqrt{x}))
tangent of y=5tan(x),(pi/4 ,5)	tangent\:y=5\tan(x),(\frac{π}{4},5)
tangent of f(x)= 2/x ,(-4,-1/2)	tangent\:f(x)=\frac{2}{x},(-4,-\frac{1}{2})
derivative of x^2(x+3^4)	\frac{d}{dx}(x^{2}(x+3)^{4})
sum from n=1 to infinity of (5^n)/(6^nn)	\sum\:_{n=1}^{\infty\:}\frac{5^{n}}{6^{n}n}
xy^'+y=3xy	xy^{\prime\:}+y=3xy
integral of (x^2+7x-3)sin(2x)	\int\:(x^{2}+7x-3)\sin(2x)dx
integral of 3/(x(x^2+1))	\int\:\frac{3}{x(x^{2}+1)}dx
derivative of \|(-3^x\|)	\frac{d}{dx}(\left\|(-3)^{x}\right\|)
y^'x^2+yx^2=xy^5	y^{\prime\:}x^{2}+yx^{2}=xy^{5}
derivative of f(x)= 1/2	derivative\:f(x)=\frac{1}{2}
derivative of (2x^2-1)/(x+1)	derivative\:\frac{2x^{2}-1}{x+1}
derivative of t^3	derivative\:t^{3}
derivative of f(x)=20x+(420)/x	derivative\:f(x)=20x+\frac{420}{x}
derivative of f(x)=2x^2+1	derivative\:f(x)=2x^{2}+1
integral of 1/((x-3)sqrt(x^2)-6x)	\int\:\frac{1}{(x-3)\sqrt{x^{2}}-6x}dx
integral of x^7ln(5x)	\int\:x^{7}\ln(5x)dx
integral of (x^4)/(x^3-1)	\int\:\frac{x^{4}}{x^{3}-1}dx
integral from-pi to pi of sin(nx)	\int\:_{-π}^{π}\sin(nx)dx
laplacetransform e^t(t+5)^3	laplacetransform\:e^{t}(t+5)^{3}
(\partial ^2)/(\partial {h)(w)\partial w}(w/({h)(w)(w)^2})	\frac{\partial\:^{2}}{\partial\:{h}(w)\partial\:w}(\frac{w}{{h}(w)(w)^{2}})
inverse oflaplace (5e^{-s})/(4s^2+36)	inverselaplace\:\frac{5e^{-s}}{4s^{2}+36}
derivative of-2cos(x/2)	derivative\:-2\cos(\frac{x}{2})
limit as x approaches infinity of arctan(4x)	\lim\:_{x\to\:\infty\:}(\arctan(4x))
tangent of f(x)=ln(3x+4),(2,ln(10))	tangent\:f(x)=\ln(3x+4),(2,\ln(10))
laplacetransform-5cos(3t)	laplacetransform\:-5\cos(3t)
derivative of f(t)=2t^3+t	derivative\:f(t)=2t^{3}+t
(\partial)/(\partial x)((xy)/(x+y))	\frac{\partial\:}{\partial\:x}(\frac{xy}{x+y})
derivative of f(x)=ln(6-x^2)	derivative\:f(x)=\ln(6-x^{2})
(\partial)/(\partial x)(xcos(y)-ysin(x))	\frac{\partial\:}{\partial\:x}(x\cos(y)-y\sin(x))
limit as x approaches 1 of ((5-5x))/(1-sqrt(x))	\lim\:_{x\to\:1}(\frac{(5-5x)}{1-\sqrt{x}})
x(dy)/(dx)-y=0,y(a)=b	x\frac{dy}{dx}-y=0,y(a)=b
y^'+2xy=x	y^{\prime\:}+2xy=x
integral of-xarctan(x)	\int\:-x\arctan(x)dx

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