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Popular Calculus Problems
integral of-1/3 e^{3x}
\int\:-\frac{1}{3}e^{3x}dx
integral of 2ysin(y)
\int\:2y\sin(y)dy
integral from 0 to pi of 3sin^2(x)
\int\:_{0}^{π}3\sin^{2}(x)dx
laplacetransform 0.5
laplacetransform\:0.5
integral from 0 to 1 of (e^x+e^{-x})
\int\:_{0}^{1}(e^{x}+e^{-x})dx
derivative of 100(5.6^x)
\frac{d}{dx}(100(5.6)^{x})
derivative of f(x)= 7/(x+4)
derivative\:f(x)=\frac{7}{x+4}
integral of 1.1t+6.3t^3
\int\:1.1t+6.3t^{3}dt
derivative of s(t)=48(6t^3-5)^{6/5}
derivative\:s(t)=48(6t^{3}-5)^{\frac{6}{5}}
derivative of e^x(5x^2-10x+10)
derivative\:e^{x}(5x^{2}-10x+10)
derivative of arcsin(sqrt(sin(17x)))
\frac{d}{dx}(\arcsin(\sqrt{\sin(17x)}))
integral of x/(x+60)
\int\:\frac{x}{x+60}dx
integral from-64 to 1 of 1/(\sqrt[3]{x)}
\int\:_{-64}^{1}\frac{1}{\sqrt[3]{x}}dx
(3-x)(dy)/(dx)=y
(3-x)\frac{dy}{dx}=y
integral of ((t^2-8t+1)/((2t)^4))
\int\:(\frac{t^{2}-8t+1}{(2t)^{4}})dt
tangent of f(x)=-3x^2+2,\at x=1
tangent\:f(x)=-3x^{2}+2,\at\:x=1
f(x)=(4x^3)/(5-2x)
f(x)=\frac{4x^{3}}{5-2x}
limit as x approaches 6+of 4/(x-6)
\lim\:_{x\to\:6+}(\frac{4}{x-6})
derivative of f(x)=(3x^6+4x^3)^4
derivative\:f(x)=(3x^{6}+4x^{3})^{4}
integral of 1/(sqrt(u))
\int\:\frac{1}{\sqrt{u}}du
(\partial)/(\partial x)(e^{2xyz-7})
\frac{\partial\:}{\partial\:x}(e^{2xyz-7})
integral of cos^3(3x)sin(3x)
\int\:\cos^{3}(3x)\sin(3x)dx
derivative of x^{-5/4}
derivative\:x^{-\frac{5}{4}}
integral of 1/(xsqrt(9x^2-9))
\int\:\frac{1}{x\sqrt{9x^{2}-9}}dx
integral of x^3sqrt(1+36x^2)
\int\:x^{3}\sqrt{1+36x^{2}}dx
integral of (e^{-x/5}+5x^4)
\int\:(e^{-\frac{x}{5}}+5x^{4})dx
derivative of h(t)=(t+4)^{2/3}(2t^2-4)^3
derivative\:h(t)=(t+4)^{\frac{2}{3}}(2t^{2}-4)^{3}
limit as x approaches 7 of sec((pix)/6)
\lim\:_{x\to\:7}(\sec(\frac{πx}{6}))
(dy)/(dx)=7x+y
\frac{dy}{dx}=7x+y
derivative of sqrt(x)-sqrt(x^3)
derivative\:\sqrt{x}-\sqrt{x^{3}}
integral of 1/(x^2-64)
\int\:\frac{1}{x^{2}-64}dx
limit as x approaches 1-of 7/(x^3-1)
\lim\:_{x\to\:1-}(\frac{7}{x^{3}-1})
limit as x approaches 9 of 5
\lim\:_{x\to\:9}(5)
slope of (-2,8),(-6,0)
slope\:(-2,8),(-6,0)
f(x)=e^{x^3}
f(x)=e^{x^{3}}
inverse oflaplace 1/(s(5s+3))
inverselaplace\:\frac{1}{s(5s+3)}
(dy)/(dx)+xy=x^3
\frac{dy}{dx}+xy=x^{3}
integral of x^{1/2}(sqrt(x)-3)^2
\int\:x^{\frac{1}{2}}(\sqrt{x}-3)^{2}dx
y^{''''}+10y^{''}+9y=0
y^{\prime\:\prime\:\prime\:\prime\:}+10y^{\prime\:\prime\:}+9y=0
limit as t approaches 0 of 3t+3
\lim\:_{t\to\:0}(3t+3)
derivative of (sqrt(x)-2)/(x-4)
derivative\:\frac{\sqrt{x}-2}{x-4}
integral of e^xcos^2(e^x)
\int\:e^{x}\cos^{2}(e^{x})dx
derivative of f(x)=x(1-x)^4
derivative\:f(x)=x(1-x)^{4}
integral of (3u-4)/5
\int\:\frac{3u-4}{5}du
integral of (x^{2/3}+6)
\int\:(x^{\frac{2}{3}}+6)dx
limit as Δx approaches 0 of 0/(Δx^2)
\lim\:_{Δx\to\:0}(\frac{0}{Δx^{2}})
limit as n approaches infinity of x^n
\lim\:_{n\to\:\infty\:}(x^{n})
integral of 37sec^{-2}(xta)n^3x
\int\:37\sec^{-2}(xta)n^{3}xdx
integral of t/((t^2+1)^{21/2)}
\int\:\frac{t}{(t^{2}+1)^{\frac{21}{2}}}dt
y^'+2y=0,y(0)=0
y^{\prime\:}+2y=0,y(0)=0
area y=5x^2,y=x^2+2
area\:y=5x^{2},y=x^{2}+2
limit as x approaches 0 of xe^{-1/(x^2)}
\lim\:_{x\to\:0}(xe^{-\frac{1}{x^{2}}})
derivative of ln(3x^3+4x^2+x+4)
\frac{d}{dx}(\ln(3x^{3}+4x^{2}+x+4))
d/(dt)((e^{2t})/(1-t^2))
\frac{d}{dt}(\frac{e^{2t}}{1-t^{2}})
derivative of x/(x^{-1+3})
\frac{d}{dx}(\frac{x}{x^{-1}+3})
derivative of cos((sqrt(3)/2 x))
\frac{d}{dx}(\cos(\frac{\sqrt{3}}{2}x))
sum from n=1 to infinity}(16^{n/2 of)/(2^{2n)}
\sum\:_{n=1}^{\infty\:}\frac{16^{\frac{n}{2}}}{2^{2n}}
integral of 1/(e^{-y)}
\int\:\frac{1}{e^{-y}}dy
dy=2x(y^2+9)dx
dy=2x(y^{2}+9)dx
integral of 0.6x
\int\:0.6xdx
limit as x approaches infinity of 4/7
\lim\:_{x\to\:\infty\:}(\frac{4}{7})
derivative of f(x)=x^2e^{2x}
derivative\:f(x)=x^{2}e^{2x}
f(x)= 3/(x+2)
f(x)=\frac{3}{x+2}
(dy)/(dt)=9ty^2
\frac{dy}{dt}=9ty^{2}
integral of (x+4)/(sqrt(x+1))
\int\:\frac{x+4}{\sqrt{x+1}}dx
integral of (1/(x(1+ln(x))))
\int\:(\frac{1}{x(1+\ln(x))})dx
derivative of e^{-x}cos(x)
\frac{d}{dx}(e^{-x}\cos(x))
integral from 0 to 2 of xsqrt(x^2+2)
\int\:_{0}^{2}x\sqrt{x^{2}+2}dx
integral from 0 to 4 of (2x+5)
\int\:_{0}^{4}(2x+5)dx
derivative of x^2f(x)
derivative\:x^{2}f(x)
integral of 1/(-\frac{1){x^2}+2x}-3
\int\:\frac{1}{-\frac{1}{x^{2}}+2x}-3dx
inverse oflaplace 1/((s^2+4)^2*s)
inverselaplace\:\frac{1}{(s^{2}+4)^{2}\cdot\:s}
tangent of f(x)=x^3ln(2x),\at x=5
tangent\:f(x)=x^{3}\ln(2x),\at\:x=5
limit as x approaches 1 of 1-(x-1)^2
\lim\:_{x\to\:1}(1-(x-1)^{2})
(\partial)/(\partial y)(e^{3x}tan(y))
\frac{\partial\:}{\partial\:y}(e^{3x}\tan(y))
integral of e^xcos(2x)
\int\:e^{x}\cos(2x)dx
(dy)/(dx)=ky^2ln(x),y(1)=-5
\frac{dy}{dx}=ky^{2}\ln(x),y(1)=-5
(x^3-y^3)dx+xy^2dy=0
(x^{3}-y^{3})dx+xy^{2}dy=0
derivative of sin(8x)+sin^2(8x)
derivative\:\sin(8x)+\sin^{2}(8x)
derivative of sqrt(3)
derivative\:\sqrt{3}
derivative of 6xcos(x)
\frac{d}{dx}(6x\cos(x))
integral of 5x^3e^{3x}
\int\:5x^{3}e^{3x}dx
derivative of sin^4(sqrt(x))
derivative\:\sin^{4}(\sqrt{x})
inverse oflaplace 1/(s^2(s+sqrt(2)))
inverselaplace\:\frac{1}{s^{2}(s+\sqrt{2})}
integral from 0 to 7 of 9800pi(7-y)
\int\:_{0}^{7}9800π(7-y)dy
tangent of y= 1/((1+x^2),(-1, 1/2))
tangent\:y=\frac{1}{(1+x^{2}),(-1,\frac{1}{2})}
integral of (xe^{2x})
\int\:(xe^{2x})dx
(d^2y)/(dx^2)+6(dy)/(dx)+5y=0
\frac{d^{2}y}{dx^{2}}+6\frac{dy}{dx}+5y=0
integral of (x^2+18x-9)/(x^3-9x)
\int\:\frac{x^{2}+18x-9}{x^{3}-9x}dx
area y=x(x+1)^2,y=0
area\:y=x(x+1)^{2},y=0
integral from 0 to pi/(12) of cos(4x)
\int\:_{0}^{\frac{π}{12}}\cos(4x)dx
derivative of f(x)=sqrt(sin^3(18x))
derivative\:f(x)=\sqrt{\sin^{3}(18x)}
limit as x approaches 3 of x^2-7
\lim\:_{x\to\:3}(x^{2}-7)
limit as x approaches+0+of 0/x
\lim\:_{x\to\:+0+}(\frac{0}{x})
limit as x approaches 3 of cos(x)
\lim\:_{x\to\:3}(\cos(x))
taylor f(x)=sqrt(1+x^2)
taylor\:f(x)=\sqrt{1+x^{2}}
(\partial)/(\partial x)(xy((8-xy)/(x+y)))
\frac{\partial\:}{\partial\:x}(xy(\frac{8-xy}{x+y}))
integral from 0 to pi/7 of cos(4x)
\int\:_{0}^{\frac{π}{7}}\cos(4x)dx
integral of sqrt(x^2+1)
\int\:\sqrt{x^{2}+1}dx
derivative of e^{2x-x^2}
\frac{d}{dx}(e^{2x-x^{2}})
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