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Popular Calculus Problems
y^{''}+12x=0,y(0)=-4,y^'(0)=5
y^{\prime\:\prime\:}+12x=0,y(0)=-4,y^{\prime\:}(0)=5
(\partial)/(\partial x)((6y)/(x+y))
\frac{\partial\:}{\partial\:x}(\frac{6y}{x+y})
integral of e^x*(1-e^x)^{-1}
\int\:e^{x}\cdot\:(1-e^{x})^{-1}dx
derivative of 2x^3e^x
\frac{d}{dx}(2x^{3}e^{x})
derivative of sqrt(3/x)
derivative\:\sqrt{\frac{3}{x}}
derivative of f(x)=x^3-2x+1
derivative\:f(x)=x^{3}-2x+1
laplacetransform-3sin(2t)
laplacetransform\:-3\sin(2t)
integral of x^{3/2}+2x+1
\int\:x^{\frac{3}{2}}+2x+1dx
xy^'+y=32sqrt(x)
xy^{\prime\:}+y=32\sqrt{x}
integral of |x-4|
\int\:\left|x-4\right|dx
derivative of x^3-5x+3
\frac{d}{dx}(x^{3}-5x+3)
limit as x approaches 1-of x^{1/(1-x)}
\lim\:_{x\to\:1-}(x^{\frac{1}{1-x}})
derivative of-4/((t+2)^2)
derivative\:-\frac{4}{(t+2)^{2}}
integral of (x^2-1)/(x^4-1)
\int\:\frac{x^{2}-1}{x^{4}-1}dx
integral of sec^2(x)+4
\int\:\sec^{2}(x)+4dx
integral of e^xe^x
\int\:e^{x}e^{x}dx
integral of (3x)/(x^2-x-6)
\int\:\frac{3x}{x^{2}-x-6}dx
integral from 0 to 1 of 3x(x^2+1)^4
\int\:_{0}^{1}3x(x^{2}+1)^{4}dx
x^2(dy)/(dx)+3xy=ln(x)
x^{2}\frac{dy}{dx}+3xy=\ln(x)
implicit xy=cot(xy)
implicit\:xy=\cot(xy)
integral of x/((z^2+x^2)^{3/2)}
\int\:\frac{x}{(z^{2}+x^{2})^{\frac{3}{2}}}dx
derivative of y= 3/x
derivative\:y=\frac{3}{x}
integral of (6)
\int\:(6)dx
(\partial)/(\partial t)(3sqrt(s^2+t^2))
\frac{\partial\:}{\partial\:t}(3\sqrt{s^{2}+t^{2}})
integral from 0 to 3 of xe^{x/2}
\int\:_{0}^{3}xe^{\frac{x}{2}}dx
integral of 0.06e^{0.01x}
\int\:0.06e^{0.01x}dx
integral of (2x+1)/x
\int\:\frac{2x+1}{x}dx
(\partial)/(\partial y)(2xy-6y)
\frac{\partial\:}{\partial\:y}(2xy-6y)
integral of e^{-1/x}
\int\:e^{-\frac{1}{x}}dx
integral from 0 to 1 of (r^3)/(4+r^2)
\int\:_{0}^{1}\frac{r^{3}}{4+r^{2}}dr
limit as x approaches 2 of (5-x)/(x-2)
\lim\:_{x\to\:2}(\frac{5-x}{x-2})
derivative of (sin(x-x)/(x^3))
\frac{d}{dx}(\frac{\sin(x)-x}{x^{3}})
limit as x approaches infinity of 4e^x
\lim\:_{x\to\:\infty\:}(4e^{x})
integral from pi to infinity of sin(x)
\int\:_{π}^{\infty\:}\sin(x)dx
derivative of 16e^{-4x}
\frac{d}{dx}(16e^{-4x})
derivative of 3xln(x/2)
\frac{d}{dx}(3x\ln(\frac{x}{2}))
integral of 0.2e^{-0.2x}
\int\:0.2e^{-0.2x}dx
laplacetransform sin(4t+pi/3)
laplacetransform\:\sin(4t+\frac{π}{3})
derivative of f(x)=(x^4-2x)^5
derivative\:f(x)=(x^{4}-2x)^{5}
integral of 1/(sqrt(3x^2-12x+15))
\int\:\frac{1}{\sqrt{3x^{2}-12x+15}}dx
integral of (sqrt(x))/(x-1)
\int\:\frac{\sqrt{x}}{x-1}dx
integral of (y+4)/(y^3+2y^2+2y)
\int\:\frac{y+4}{y^{3}+2y^{2}+2y}dy
derivative of 5x^3y
\frac{d}{dx}(5x^{3}y)
derivative of (tsin(t))/(1+t)
derivative\:\frac{t\sin(t)}{1+t}
area x/(1+x^2),((x^2))/(1+x^3)
area\:\frac{x}{1+x^{2}},\frac{(x^{2})}{1+x^{3}}
y^'=(xy+2y)/(x+3)
y^{\prime\:}=\frac{xy+2y}{x+3}
x(x^3+1)y^'+(2x^3-1)y=(x^3-2)/x
x(x^{3}+1)y^{\prime\:}+(2x^{3}-1)y=\frac{x^{3}-2}{x}
integral of sqrt(x^2-49)
\int\:\sqrt{x^{2}-49}dx
y^{''}+2y^'+2=0
y^{\prime\:\prime\:}+2y^{\prime\:}+2=0
(\partial)/(\partial x)(sin(xy^2)e^{2x-3y})
\frac{\partial\:}{\partial\:x}(\sin(xy^{2})e^{2x-3y})
integral of 5sin(6pi)x
\int\:5\sin(6π)xdx
integral of 6e^{-0.2x}
\int\:6e^{-0.2x}dx
taylor sin(3x),0
taylor\:\sin(3x),0
12(t+1)((dy)/(dt))-8y=32t,y(0)=2
12(t+1)(\frac{dy}{dt})-8y=32t,y(0)=2
area x=-5,x=1,y=3x,y=x^2-4
area\:x=-5,x=1,y=3x,y=x^{2}-4
derivative of (4x-7/(2x+1))
\frac{d}{dx}(\frac{4x-7}{2x+1})
integral of (6x^2-5x+3)/x
\int\:\frac{6x^{2}-5x+3}{x}dx
(\partial)/(\partial x)(3xye^{y-x})
\frac{\partial\:}{\partial\:x}(3xye^{y-x})
slope of (3,3),(2,-5)
slope\:(3,3),(2,-5)
(x^2-5)yy^'=2x
(x^{2}-5)yy^{\prime\:}=2x
integral of x/3*sin(x^2)
\int\:\frac{x}{3}\cdot\:\sin(x^{2})dx
integral of (x)
\int\:(x)dx
tangent of 12x^2-8x-4
tangent\:12x^{2}-8x-4
integral of 1/(sqrt(e^x-1))
\int\:\frac{1}{\sqrt{e^{x}-1}}dx
y^{''}-4y^'-12y=sin(2x)
y^{\prime\:\prime\:}-4y^{\prime\:}-12y=\sin(2x)
tangent of f(x)= 2/(x-2),\at x=-4
tangent\:f(x)=\frac{2}{x-2},\at\:x=-4
limit as x approaches 0 of (cos(x)-x)/x
\lim\:_{x\to\:0}(\frac{\cos(x)-x}{x})
area y=x^3,y=x^{1/2}
area\:y=x^{3},y=x^{\frac{1}{2}}
(\partial)/(\partial x)(x^3+4x^2+x^4+3x^5)
\frac{\partial\:}{\partial\:x}(x^{3}+4x^{2}+x^{4}+3x^{5})
integral from 0 to 6pi of x^2sin(2x)
\int\:_{0}^{6π}x^{2}\sin(2x)dx
derivative of ln(x^2-4x+1)
derivative\:\ln(x^{2}-4x+1)
(\partial)/(\partial y)(x*y^2)
\frac{\partial\:}{\partial\:y}(x\cdot\:y^{2})
implicit (dy)/(dx),y^3-2xy+7=3x+1
implicit\:\frac{dy}{dx},y^{3}-2xy+7=3x+1
limit as x approaches 0 of ((\sqrt[3]{x+8}-2))/x
\lim\:_{x\to\:0}(\frac{(\sqrt[3]{x+8}-2)}{x})
integral of 5x*cos(8x)
\int\:5x\cdot\:\cos(8x)dx
derivative of-sin^2(x)
\frac{d}{dx}(-\sin^{2}(x))
(\partial)/(\partial y)(2ln(y))
\frac{\partial\:}{\partial\:y}(2\ln(y))
integral of 1/(9x-5)
\int\:\frac{1}{9x-5}dx
tangent of sin(7x)-cos(4x)
tangent\:\sin(7x)-\cos(4x)
derivative of h(x)= 1/(x^5)
derivative\:h(x)=\frac{1}{x^{5}}
(\partial)/(\partial x)(pixsqrt(x^2+h^2))
\frac{\partial\:}{\partial\:x}(πx\sqrt{x^{2}+h^{2}})
integral of ((e^x-e^{-x}))/2
\int\:\frac{(e^{x}-e^{-x})}{2}dx
domain of f(x)=x^2-25ln(x^2)
domain\:f(x)=x^{2}-25\ln(x^{2})
laplacetransform 2e^{-t}
laplacetransform\:2e^{-t}
derivative of f(x)=-9x^{-1/9}
derivative\:f(x)=-9x^{-\frac{1}{9}}
limit as x approaches-infinity of 1-e^x
\lim\:_{x\to\:-\infty\:}(1-e^{x})
derivative of (x^3-8)^{2/3}
derivative\:(x^{3}-8)^{\frac{2}{3}}
d/(da)(sin(a)+sin(2a)+sin(3a))
\frac{d}{da}(\sin(a)+\sin(2a)+\sin(3a))
inverse oflaplace-(5s)/((s^2+1)^2)
inverselaplace\:-\frac{5s}{(s^{2}+1)^{2}}
integral of (x+1)(x+3)
\int\:(x+1)(x+3)dx
inverse oflaplace (-0.1s)/(s^2-9.8)
inverselaplace\:\frac{-0.1s}{s^{2}-9.8}
derivative of y= 4/3 (x+1)^{3/2}
derivative\:y=\frac{4}{3}(x+1)^{\frac{3}{2}}
integral from 0 to-0.5 of 150x
\int\:_{0}^{-0.5}150xdx
derivative of (x^2+5)^2(x-5)
derivative\:(x^{2}+5)^{2}(x-5)
integral of 6x^2+16x-10
\int\:6x^{2}+16x-10dx
(\partial)/(\partial y)(sin(pi(5x-2y)))
\frac{\partial\:}{\partial\:y}(\sin(π(5x-2y)))
integral of cosh^2(x)
\int\:\cosh^{2}(x)dx
integral of ye^{-3y}
\int\:ye^{-3y}dy
derivative of (x^2+3x^4)
\frac{d}{dx}((x^{2}+3x)^{4})
derivative of X^{1/5}
derivative\:X^{\frac{1}{5}}
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