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Popular Calculus Problems
integral from-3 to 3 of sqrt(x^2+y^2)
\int\:_{-3}^{3}\sqrt{x^{2}+y^{2}}dy
limit as x approaches 4 of 3x-7
\lim\:_{x\to\:4}(3x-7)
derivative of sin(x)+csc(x)
derivative\:\sin(x)+\csc(x)
integral of x/(3x+6)
\int\:\frac{x}{3x+6}dx
laplacetransform sin(2t)*cos(2t)
laplacetransform\:\sin(2t)\cdot\:\cos(2t)
y^{''}+y^'=2
y^{\prime\:\prime\:}+y^{\prime\:}=2
tangent of f(x)=sqrt(2x+1),\at x=4
tangent\:f(x)=\sqrt{2x+1},\at\:x=4
d/(dt)(y/t-(y/t)^2)
\frac{d}{dt}(\frac{y}{t}-(\frac{y}{t})^{2})
integral from 1 to 2 of 4/x-(16)/(x^2)
\int\:_{1}^{2}\frac{4}{x}-\frac{16}{x^{2}}dx
(\partial)/(\partial y)(y-e^{-2x^2y})
\frac{\partial\:}{\partial\:y}(y-e^{-2x^{2}y})
(\partial)/(\partial x)(x(x-2y))
\frac{\partial\:}{\partial\:x}(x(x-2y))
integral from 0 to 0.1 of xarctan(2x)
\int\:_{0}^{0.1}x\arctan(2x)dx
integral of 14cot^4(x)
\int\:14\cot^{4}(x)dx
integral of 2/(e^{3x)}
\int\:\frac{2}{e^{3x}}dx
derivative of 4^{sin(2(x)+cos(3x)})
\frac{d}{dx}(4^{\sin(2)(x)+\cos(3x)})
integral of 1/(sqrt(1-4t^2))
\int\:\frac{1}{\sqrt{1-4t^{2}}}dt
y^'=0.2ln((4000)/y)y
y^{\prime\:}=0.2\ln(\frac{4000}{y})y
integral from 0 to 1 of 2
\int\:_{0}^{1}2
integral of [x^2+1/((3x)^2)]
\int\:[x^{2}+\frac{1}{(3x)^{2}}]dx
limit as x approaches 0 of x^{(-2)/3}
\lim\:_{x\to\:0}(x^{\frac{-2}{3}})
tangent of f(x)=x^3-3x+2,(2,4)
tangent\:f(x)=x^{3}-3x+2,(2,4)
integral of sin(pi-x)
\int\:\sin(π-x)dx
integral of-5e^x
\int\:-5e^{x}dx
derivative of \sqrt[5]{e^2+2pi}
\frac{d}{dx}(\sqrt[5]{e^{2}+2π})
(\partial)/(\partial y)((4x)/(1+y))
\frac{\partial\:}{\partial\:y}(\frac{4x}{1+y})
laplacetransform t^2*e^{,\at}
laplacetransform\:t^{2}\cdot\:e^{,\at\:}
integral of (cos(5x))/(sqrt(sin(5x)+4))
\int\:\frac{\cos(5x)}{\sqrt{\sin(5x)+4}}dx
integral of (-3x^2)/(x^4-1)
\int\:\frac{-3x^{2}}{x^{4}-1}dx
inverse oflaplace 1/(2s^2+3s+1)
inverselaplace\:\frac{1}{2s^{2}+3s+1}
derivative of x^6cos(x)
derivative\:x^{6}\cos(x)
derivative of y(s)= 1/(s+ke^s)
derivative\:y(s)=\frac{1}{s+ke^{s}}
sum from n=1 to infinity of arcsin(n)
\sum\:_{n=1}^{\infty\:}\arcsin(n)
y^{''}+4y^'-5y=e^{3x}
y^{\prime\:\prime\:}+4y^{\prime\:}-5y=e^{3x}
derivative of (x^9/(45))
\frac{d}{dx}(\frac{x^{9}}{45})
area y=6x,y=6x^2
area\:y=6x,y=6x^{2}
derivative of ((-6x))/(sqrt(8-2x))
derivative\:\frac{(-6x)}{\sqrt{8-2x}}
y^{''}+y=x,y(1)=0,y^'(1)=1
y^{\prime\:\prime\:}+y=x,y(1)=0,y^{\prime\:}(1)=1
integral of \sqrt[3]{x^2}
\int\:\sqrt[3]{x^{2}}dx
(\partial)/(\partial y)(xcos(z))
\frac{\partial\:}{\partial\:y}(x\cos(z))
tangent of 7x^2-9x,\at x=-17
tangent\:7x^{2}-9x,\at\:x=-17
tangent of f(x)=2x^2-5x+3,\at x=1
tangent\:f(x)=2x^{2}-5x+3,\at\:x=1
integral of ((3+4x))/(sqrt(3x-x^2-2))
\int\:\frac{(3+4x)}{\sqrt{3x-x^{2}-2}}dx
limit as x approaches 3 of (x+3)/(x+6)
\lim\:_{x\to\:3}(\frac{x+3}{x+6})
integral of 1/(sqrt(t^2-10t+41))
\int\:\frac{1}{\sqrt{t^{2}-10t+41}}dt
f(x)=x^2arctan(5x)
f(x)=x^{2}\arctan(5x)
integral of (x+5)/((x+2)(x-1))
\int\:\frac{x+5}{(x+2)(x-1)}dx
tangent of y=5+5x^2-2x^3,(1,8)
tangent\:y=5+5x^{2}-2x^{3},(1,8)
limit as x approaches infinity of 2/(3x)
\lim\:_{x\to\:\infty\:}(\frac{2}{3x})
integral of 10000(t-6)
\int\:10000(t-6)dt
integral of 5xsin(x)
\int\:5x\sin(x)dx
derivative of 14sqrt(x)
derivative\:14\sqrt{x}
derivative of sqrt(5-2t)
derivative\:\sqrt{5-2t}
f(x)=e^{ln(cos(x^2))}sqrt(2x+1)
f(x)=e^{\ln(\cos(x^{2}))}\sqrt{2x+1}
integral from 0 to 4 of (16x^2-x^4)
\int\:_{0}^{4}(16x^{2}-x^{4})dx
integral of 10θsec^2(θ)
\int\:10θ\sec^{2}(θ)dθ
integral from 2 to 5 of x/(sqrt(x^2-4))
\int\:_{2}^{5}\frac{x}{\sqrt{x^{2}-4}}dx
derivative of f(x)=(-1)/(sqrt(2x))+2x
derivative\:f(x)=\frac{-1}{\sqrt{2x}}+2x
derivative of cos(x^{-4})
\frac{d}{dx}(\cos(x^{-4}))
limit as x approaches 2 of 5/(x-2)
\lim\:_{x\to\:2}(\frac{5}{x-2})
slope of (3,-3),(5,-6)
slope\:(3,-3),(5,-6)
y^{''}-2y^'+y=xe^xln(x)
y^{\prime\:\prime\:}-2y^{\prime\:}+y=xe^{x}\ln(x)
limit as x approaches 3 of 3x^3-5x^2+x-8
\lim\:_{x\to\:3}(3x^{3}-5x^{2}+x-8)
(dy}{dx}=\frac{(xy)^2)/8+y^2
\frac{dy}{dx}=\frac{(xy)^{2}}{8}+y^{2}
integral of 1/(x^2+6x+5)
\int\:\frac{1}{x^{2}+6x+5}dx
limit as x approaches 4+of 1/(x^2-16)
\lim\:_{x\to\:4+}(\frac{1}{x^{2}-16})
(d^2)/(dx^2)(x/(x^2+4))
\frac{d^{2}}{dx^{2}}(\frac{x}{x^{2}+4})
integral of (sqrt(64x^2-49))/(x^3)
\int\:\frac{\sqrt{64x^{2}-49}}{x^{3}}dx
(1+y)dx+(1-x)dy=0
(1+y)dx+(1-x)dy=0
y^'=yln(1/y)
y^{\prime\:}=y\ln(\frac{1}{y})
derivative of sqrt(5)x-sqrt(3x)
\frac{d}{dx}(\sqrt{5}x-\sqrt{3x})
integral of (a+bx^5)/(sqrt(6ax+bx^6))
\int\:\frac{a+bx^{5}}{\sqrt{6ax+bx^{6}}}dx
derivative of tan^2(xsec^2(x))
\frac{d}{dx}(\tan^{2}(x)\sec^{2}(x))
derivative of \sqrt[3]{x+4}
\frac{d}{dx}(\sqrt[3]{x+4})
integral from 0 to 1 of 3(1-x)^2
\int\:_{0}^{1}3(1-x)^{2}dx
tangent of ((5ln(x)))/x
tangent\:\frac{(5\ln(x))}{x}
sum from n=1 to infinity of 4(1/2)^n
\sum\:_{n=1}^{\infty\:}4(\frac{1}{2})^{n}
derivative of (8x^{1/3})
\frac{d}{dx}((8x)^{\frac{1}{3}})
integral of ((cos(x))^2)/2
\int\:\frac{(\cos(x))^{2}}{2}dx
integral of sin^4(x)*cos^2(x)
\int\:\sin^{4}(x)\cdot\:\cos^{2}(x)dx
derivative of f(x)=e^{-x}sin(x)
derivative\:f(x)=e^{-x}\sin(x)
integral of 2x-1/(e^{x^2)}
\int\:2x-\frac{1}{e^{x^{2}}}dx
derivative of 14(4e^{x^2}x^3+6e^{x^2}x)
derivative\:14(4e^{x^{2}}x^{3}+6e^{x^{2}}x)
derivative of (x+7)*ln(x)
derivative\:(x+7)\cdot\:\ln(x)
derivative of 1/(ln(x))
derivative\:\frac{1}{\ln(x)}
limit as x approaches 3 of sqrt(4-x^2)
\lim\:_{x\to\:3}(\sqrt{4-x^{2}})
derivative of 2x+8/x
\frac{d}{dx}(2x+\frac{8}{x})
(\partial)/(\partial y)(x+2y-22)
\frac{\partial\:}{\partial\:y}(x+2y-22)
derivative of cos^2(3x-1)
derivative\:\cos^{2}(3x-1)
area y=x-3,y=-sqrt(x-1),x=1,x=3
area\:y=x-3,y=-\sqrt{x-1},x=1,x=3
taylor x^{9/6},8
taylor\:x^{\frac{9}{6}},8
derivative of (9-x^3)^5
derivative\:(9-x^{3})^{5}
integral of 4/5-9/x
\int\:\frac{4}{5}-\frac{9}{x}dx
derivative of f(2)=2x^3-1
derivative\:f(2)=2x^{3}-1
derivative of 0.01x^3
\frac{d}{dx}(0.01x^{3})
tangent of sqrt(2x^2+x-7)
tangent\:\sqrt{2x^{2}+x-7}
(\partial)/(\partial x)((6x)/(sqrt(x^2+2)))
\frac{\partial\:}{\partial\:x}(\frac{6x}{\sqrt{x^{2}+2}})
integral of ((t^m-t^n)^2)/(sqrt(t))
\int\:\frac{(t^{m}-t^{n})^{2}}{\sqrt{t}}dt
integral from 3 to 7 of (x+4)^2
\int\:_{3}^{7}(x+4)^{2}dx
derivative of y=4x^3ln(x)
derivative\:y=4x^{3}\ln(x)
integral from 0 to 7 of 2piy(49-y^2)
\int\:_{0}^{7}2πy(49-y^{2})dy
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