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Popular Calculus Problems
derivative of sqrt(x^2-4)-2arcsec(x/2)
\frac{d}{dx}(\sqrt{x^{2}-4}-2\arcsec(\frac{x}{2}))
limit as x approaches infinity of e^{5xln(1+1/x)}
\lim\:_{x\to\:\infty\:}(e^{5x\ln(1+\frac{1}{x})})
integral of (4x^3-5sqrt(x))/x
\int\:\frac{4x^{3}-5\sqrt{x}}{x}dx
(\partial)/(\partial x)(r/x)
\frac{\partial\:}{\partial\:x}(\frac{r}{x})
integral of 1/(x^2sqrt(64x^2+81))
\int\:\frac{1}{x^{2}\sqrt{64x^{2}+81}}dx
(dy)/(dx)=((x-1))/(y-4)
\frac{dy}{dx}=\frac{(x-1)}{y-4}
derivative of y= 1/2 x+8
derivative\:y=\frac{1}{2}x+8
f^'(x)=x
f^{\prime\:}(x)=x
y^'=e^y5^x
y^{\prime\:}=e^{y}5^{x}
integral of e^{-0.08x}
\int\:e^{-0.08x}dx
derivative of tan^2(xcos(x))
\frac{d}{dx}(\tan^{2}(x)\cos(x))
sum from n=0 to infinity of 6(3/4)^n
\sum\:_{n=0}^{\infty\:}6(\frac{3}{4})^{n}
integral of (ln(11x))^2
\int\:(\ln(11x))^{2}dx
derivative of sqrt(3x+7)
derivative\:\sqrt{3x+7}
derivative of-2.25cos(1.5x)
derivative\:-2.25\cos(1.5x)
integral from 0 to 33 of (x-1)^{-1/5}
\int\:_{0}^{33}(x-1)^{-\frac{1}{5}}dx
inverse oflaplace pi/((s^2+pi)^2)
inverselaplace\:\frac{π}{(s^{2}+π)^{2}}
integral of ((x^2+5))/(x^3-x^2+x+3)
\int\:\frac{(x^{2}+5)}{x^{3}-x^{2}+x+3}dx
integral of (e^{-sx})
\int\:(e^{-sx})dx
tangent of y=sin(sin(x)),(4pi,0)
tangent\:y=\sin(\sin(x)),(4π,0)
limit as x approaches 0 of x^{5sin(x)}
\lim\:_{x\to\:0}(x^{5\sin(x)})
limit as x approaches infinity of 3/5
\lim\:_{x\to\:\infty\:}(\frac{3}{5})
(dx}{dy}=\frac{x^2)/y
\frac{dx}{dy}=\frac{x^{2}}{y}
inverse oflaplace s/(s^2-2s+26)
inverselaplace\:\frac{s}{s^{2}-2s+26}
(\partial)/(\partial x)(sin(x)cos(x))
\frac{\partial\:}{\partial\:x}(\sin(x)\cos(x))
(\partial)/(\partial y)(xy^2z^3)
\frac{\partial\:}{\partial\:y}(xy^{2}z^{3})
area y=sqrt(x),y=\sqrt[3]{x}
area\:y=\sqrt{x},y=\sqrt[3]{x}
integral of 1/(1+tan(β))
\int\:\frac{1}{1+\tan(β)}dβ
limit as x approaches 8 of (x^2-sqrt(8x))/(x^3+2x^2)
\lim\:_{x\to\:8}(\frac{x^{2}-\sqrt{8x}}{x^{3}+2x^{2}})
derivative of x*ln(2)
\frac{d}{dx}(x\cdot\:\ln(2))
derivative of f(x)=2+3sqrt(x)
derivative\:f(x)=2+3\sqrt{x}
derivative of (5x^2+3)(2x-5)
derivative\:(5x^{2}+3)(2x-5)
integral of 1/(sqrt(4x^2-25))
\int\:\frac{1}{\sqrt{4x^{2}-25}}dx
y^'=-(1+y)^4
y^{\prime\:}=-(1+y)^{4}
integral of t^4e^{-st}
\int\:t^{4}e^{-st}dt
derivative of (5xln(3x+1)/(1-e^{2x)})
\frac{d}{dx}(\frac{5x\ln(3x+1)}{1-e^{2x}})
integral from 0 to 1 of 7cos(3x)
\int\:_{0}^{1}7\cos(3x)dx
d/(dθ)(θ)
\frac{d}{dθ}(θ)
(\partial)/(\partial x)(sin(7x^2y-3xy^3))
\frac{\partial\:}{\partial\:x}(\sin(7x^{2}y-3xy^{3}))
derivative of cosh(xcos(x^2))
\frac{d}{dx}(\cosh(x)\cos(x^{2}))
derivative of arctan(8/x)
\frac{d}{dx}(\arctan(\frac{8}{x}))
derivative of sqrt(x+\sqrt{x+1)}
\frac{d}{dx}(\sqrt{x+\sqrt{x+1}})
area y=-x^2+16,y=(-x)/4-1,4(y+6.5)=6.5x
area\:y=-x^{2}+16,y=\frac{-x}{4}-1,4(y+6.5)=6.5x
derivative of (3x^2-6x+6)e^{-5x}
derivative\:(3x^{2}-6x+6)e^{-5x}
integral from 0 to 2 of sin^2(xco)s^22x
\int\:_{0}^{2}\sin^{2}(xco)s^{2}2x
integral of 5/(4+9x^2)
\int\:\frac{5}{4+9x^{2}}dx
(\partial)/(\partial y)(sqrt(x^2+6xy+y^4))
\frac{\partial\:}{\partial\:y}(\sqrt{x^{2}+6xy+y^{4}})
integral of (22x)/(sqrt(1-x^4))
\int\:\frac{22x}{\sqrt{1-x^{4}}}dx
integral of 8/(x(ln(x))^2)
\int\:\frac{8}{x(\ln(x))^{2}}dx
integral of sin^3(θ)cos(θ)
\int\:\sin^{3}(θ)\cos(θ)dθ
integral from 6 to 8 of x/(x^2+4x+20)
\int\:_{6}^{8}\frac{x}{x^{2}+4x+20}dx
(\partial)/(\partial x)(3x^2-27)
\frac{\partial\:}{\partial\:x}(3x^{2}-27)
limit as x approaches 0+of x(ln(x))^2
\lim\:_{x\to\:0+}(x(\ln(x))^{2})
derivative of ((-4x(2x-2))/(-3x^2+1))
\frac{d}{dx}(\frac{(-4x)(2x-2)}{-3x^{2}+1})
limit as x approaches-1 of x-x^3
\lim\:_{x\to\:-1}(x-x^{3})
derivative of (xy^3+x^2y^3)
\frac{d}{dx}((xy^{3}+x^{2}y)^{3})
integral of 1/(9x+7)
\int\:\frac{1}{9x+7}dx
derivative of 1/(3(x-1^{2/3)})
\frac{d}{dx}(\frac{1}{3(x-1)^{\frac{2}{3}}})
integral of (9/x-4/(x^3))
\int\:(\frac{9}{x}-\frac{4}{x^{3}})dx
d/(dθ)(cos(θ)-sin(θ))
\frac{d}{dθ}(\cos(θ)-\sin(θ))
implicit (dy)/(dx),y^3=x^4
implicit\:\frac{dy}{dx},y^{3}=x^{4}
(\partial)/(\partial x)(x/y+e^y)
\frac{\partial\:}{\partial\:x}(\frac{x}{y}+e^{y})
integral of sin(3x)cos(x)
\int\:\sin(3x)\cos(x)dx
integral of pi/4 x-xarctan(x)
\int\:\frac{π}{4}x-x\arctan(x)dx
integral of cos(8x^2+pi)
\int\:\cos(8x^{2}+π)dx
integral of ((x^6+3x^4-2x)/(x^4))
\int\:(\frac{x^{6}+3x^{4}-2x}{x^{4}})dx
2x(1+y^2)dx-y(1+2x^2)dy=0
2x(1+y^{2})dx-y(1+2x^{2})dy=0
integral of 1/(x^4+1)
\int\:\frac{1}{x^{4}+1}dx
limit as x approaches-2 of e^{x+x^2}
\lim\:_{x\to\:-2}(e^{x+x^{2}})
limit as x approaches 0 of x^3(x^4+2x^3)
\lim\:_{x\to\:0}(x^{3}(x^{4}+2x^{3}))
integral of (e^x)/(6e^x+2)
\int\:\frac{e^{x}}{6e^{x}+2}dx
inverse oflaplace 1/(S*(S^2+4*S+1))
inverselaplace\:\frac{1}{S\cdot\:(S^{2}+4\cdot\:S+1)}
laplacetransform t-3
laplacetransform\:t-3
derivative of (pit)/(12)
derivative\:\frac{πt}{12}
integral of-6x
\int\:-6xdx
(\partial)/(\partial x)(1/(sin(x)))
\frac{\partial\:}{\partial\:x}(\frac{1}{\sin(x)})
(\partial)/(\partial y)(3x-x^2y^2+2x^3y)
\frac{\partial\:}{\partial\:y}(3x-x^{2}y^{2}+2x^{3}y)
integral of 1/(3+4x^2)
\int\:\frac{1}{3+4x^{2}}dx
derivative of y=e^{x+2}
derivative\:y=e^{x+2}
sum from n=4 to infinity of (3/4)^{-n}
\sum\:_{n=4}^{\infty\:}(\frac{3}{4})^{-n}
derivative of (15x^7+27x^5/(3x))
\frac{d}{dx}(\frac{15x^{7}+27x^{5}}{3x})
y=x^{3x}
y=x^{3x}
derivative of x^2+y^2
derivative\:x^{2}+y^{2}
x(dy)/(dx)-3y=7x^4,y(1)=2
x\frac{dy}{dx}-3y=7x^{4},y(1)=2
tangent of f(x)= x/(x-3)
tangent\:f(x)=\frac{x}{x-3}
integral of ln(x^2-x-6)
\int\:\ln(x^{2}-x-6)dx
limit as x approaches 4+of x+sqrt(x-4)
\lim\:_{x\to\:4+}(x+\sqrt{x-4})
laplacetransform t-1
laplacetransform\:t-1
derivative of (e^{6x}/(x^2+5))
\frac{d}{dx}(\frac{e^{6x}}{x^{2}+5})
derivative of f(t)=(2t-1)^7+14t(2t-1)^6
derivative\:f(t)=(2t-1)^{7}+14t(2t-1)^{6}
y^'=(x+y-4)^2,y(0)=0
y^{\prime\:}=(x+y-4)^{2},y(0)=0
inverse oflaplace (10)/((2s+3))
inverselaplace\:\frac{10}{(2s+3)}
simplify (x^4)/4+1/(8x^2)
simplify\:\frac{x^{4}}{4}+\frac{1}{8x^{2}}
derivative of (x^2-x+1^{-7})
\frac{d}{dx}((x^{2}-x+1)^{-7})
integral of e^{-3x}sin(3x)
\int\:e^{-3x}\sin(3x)dx
(\partial)/(\partial y)(sin(x-y))
\frac{\partial\:}{\partial\:y}(\sin(x-y))
derivative of y=-3-2e^x
derivative\:y=-3-2e^{x}
derivative of y= 4/(x-2)
derivative\:y=\frac{4}{x-2}
integral of e^{sin(t)}cos(t)
\int\:e^{\sin(t)}\cos(t)dt
integral of ((sqrt(x)+4)^4)/(2sqrt(x))
\int\:\frac{(\sqrt{x}+4)^{4}}{2\sqrt{x}}dx
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