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Popular Calculus Problems
derivative of (5x^2-x+1/(x^3+4x^2))
\frac{d}{dx}(\frac{5x^{2}-x+1}{x^{3}+4x^{2}})
integral from 0 to 1 of (x-x^2)
\int\:_{0}^{1}(x-x^{2})dx
(\partial)/(\partial x)(x^9y^9+5x^8y)
\frac{\partial\:}{\partial\:x}(x^{9}y^{9}+5x^{8}y)
y^{''}-y-4=0
y^{\prime\:\prime\:}-y-4=0
limit as x approaches-3 of F(x)
\lim\:_{x\to\:-3}(F(x))
integral of 6/((2x-1)^2)
\int\:\frac{6}{(2x-1)^{2}}dx
derivative of x/(x+20)
\frac{d}{dx}(\frac{x}{x+20})
integral of (2x)/(x+2)
\int\:\frac{2x}{x+2}dx
(dy)/(dx)=0.0225y+0.0003y^2
\frac{dy}{dx}=0.0225y+0.0003y^{2}
derivative of 2/((x-2^3))
\frac{d}{dx}(\frac{2}{(x-2)^{3}})
(\partial)/(\partial x)(x^2y+3xy+y^2)
\frac{\partial\:}{\partial\:x}(x^{2}y+3xy+y^{2})
limit as x approaches infinity of (((2x-3))/((2x+5)))^{2x+1}
\lim\:_{x\to\:\infty\:}((\frac{(2x-3)}{(2x+5)})^{2x+1})
area x= 4/y ,x= y/8 ,x=8y
area\:x=\frac{4}{y},x=\frac{y}{8},x=8y
(\partial)/(\partial x)((3x+t)/(x-5t))
\frac{\partial\:}{\partial\:x}(\frac{3x+t}{x-5t})
integral from 1 to 2 of (8x^3+3x^2)
\int\:_{1}^{2}(8x^{3}+3x^{2})dx
derivative of (x^3/3-x)
\frac{d}{dx}(\frac{x^{3}}{3}-x)
sum from n=2 to infinity of-(2/3)^n
\sum\:_{n=2}^{\infty\:}-(\frac{2}{3})^{n}
limit as x approaches 0+of (ln(1+2x))/x
\lim\:_{x\to\:0+}(\frac{\ln(1+2x)}{x})
derivative of (x+y/(2+cos(x)))
\frac{d}{dx}(\frac{x+y}{2+\cos(x)})
laplacetransform 2t^2-e^{-t}
laplacetransform\:2t^{2}-e^{-t}
limit as x approaches pi/2 of cos^2(x)
\lim\:_{x\to\:\frac{π}{2}}(\cos^{2}(x))
f(x)=(cos(x^3))/(e^x)
f(x)=\frac{\cos(x^{3})}{e^{x}}
derivative of xe^{-1}
\frac{d}{dx}(xe^{-1})
integral of e^{-x}cos(2x)
\int\:e^{-x}\cos(2x)dx
limit as x approaches+0 of x+|x|
\lim\:_{x\to\:+0}(x+\left|x\right|)
integral of x^{1/4}
\int\:x^{\frac{1}{4}}dx
f(x)=2tan(x)
f(x)=2\tan(x)
integral from 0 to 8 of 2piy(64-y^2)
\int\:_{0}^{8}2πy(64-y^{2})dy
inverse oflaplace 4/(s^2(s^2+16))
inverselaplace\:\frac{4}{s^{2}(s^{2}+16)}
tangent of y=tan(x),\at x=pi
tangent\:y=\tan(x),\at\:x=π
integral of x^4(5-x^2)
\int\:x^{4}(5-x^{2})dx
(\partial)/(\partial y)(-x/((x+y)^2))
\frac{\partial\:}{\partial\:y}(-\frac{x}{(x+y)^{2}})
derivative of sqrt(x/(2+cx))
\frac{d}{dx}(\sqrt{\frac{x}{2+cx}})
integral of (sqrt(1-x^2))/(x^2)
\int\:\frac{\sqrt{1-x^{2}}}{x^{2}}dx
integral of 2/((x-3)(x+1))
\int\:\frac{2}{(x-3)(x+1)}dx
integral from 1 to infinity of 9/(x^2+1)
\int\:_{1}^{\infty\:}\frac{9}{x^{2}+1}dx
integral of (4x+3)(2x^2+3x)^3
\int\:(4x+3)(2x^{2}+3x)^{3}dx
integral of 1/(6(x^2+1))
\int\:\frac{1}{6(x^{2}+1)}dx
f(x)=sin(e^{2x})
f(x)=\sin(e^{2x})
integral of (-2x+6)/(x^2+2x+3)
\int\:\frac{-2x+6}{x^{2}+2x+3}dx
y^{''}+8y^'+15y=2e^{-5x}
y^{\prime\:\prime\:}+8y^{\prime\:}+15y=2e^{-5x}
derivative of 1/(sqrt(x^2+y^2-25))
\frac{d}{dx}(\frac{1}{\sqrt{x^{2}+y^{2}-25}})
integral of e^{tx-x}
\int\:e^{tx-x}dx
(\partial)/(\partial y)(7x+8y^2)
\frac{\partial\:}{\partial\:y}(7x+8y^{2})
integral of e^xcos(y)+yz
\int\:e^{x}\cos(y)+yzdx
derivative of x!
\frac{d}{dx}(x!)
derivative of log_{3}(x+3)
\frac{d}{dx}(\log_{3}(x+3))
integral of 6x^5(x^6)^5
\int\:6x^{5}(x^{6})^{5}dx
integral of (3t^2+2)/((t^3+2t+3)^5)
\int\:\frac{3t^{2}+2}{(t^{3}+2t+3)^{5}}dt
(\partial)/(\partial y)(cos(x+y))
\frac{\partial\:}{\partial\:y}(\cos(x+y))
derivative of sqrt(36-x^2)
\frac{d}{dx}(\sqrt{36-x^{2}})
(\partial)/(\partial x)(y^4cos(4x))
\frac{\partial\:}{\partial\:x}(y^{4}\cos(4x))
(\partial)/(\partial x)(e^{(xy)})
\frac{\partial\:}{\partial\:x}(e^{(xy)})
integral of sin(t)e^t
\int\:\sin(t)e^{t}dt
inverse oflaplace (12)/(3s-5)
inverselaplace\:\frac{12}{3s-5}
(d^2)/(dx^2)((6pi^2)/(6-x))
\frac{d^{2}}{dx^{2}}(\frac{6π^{2}}{6-x})
sum from n=5 to infinity of (8^n)/(9^n)
\sum\:_{n=5}^{\infty\:}\frac{8^{n}}{9^{n}}
integral of 3/5-4/x
\int\:\frac{3}{5}-\frac{4}{x}dx
sum from n=1 to infinity of n(sin(1/n))
\sum\:_{n=1}^{\infty\:}n(\sin(\frac{1}{n}))
integral of (4t^2-3)^2
\int\:(4t^{2}-3)^{2}dt
area f(x)=x^2,[1,5]
area\:f(x)=x^{2},[1,5]
derivative of (8x^2+2)/(x^2)
derivative\:\frac{8x^{2}+2}{x^{2}}
derivative of (x^2-4x+5)sqrt(25-x^2)
derivative\:(x^{2}-4x+5)\sqrt{25-x^{2}}
integral of sqrt(t)-2cos(t)
\int\:\sqrt{t}-2\cos(t)dt
limit as x approaches 1 of sin(1/(x-1))
\lim\:_{x\to\:1}(\sin(\frac{1}{x-1}))
integral of (sqrt(x)+x^{3/4})
\int\:(\sqrt{x}+x^{\frac{3}{4}})dx
derivative of 4x-4sqrt(x)
\frac{d}{dx}(4x-4\sqrt{x})
integral of x/(1+25x^4)
\int\:\frac{x}{1+25x^{4}}dx
integral of (-1)/(x^2sqrt(x^2-9))
\int\:\frac{-1}{x^{2}\sqrt{x^{2}-9}}dx
limit as x approaches pi/3 of sec(x)
\lim\:_{x\to\:\frac{π}{3}}(\sec(x))
limit as x approaches pi of 0.4
\lim\:_{x\to\:π}(0.4)
derivative of y=tan(5x^3)
derivative\:y=\tan(5x^{3})
(\partial)/(\partial x)(x*cos(x))
\frac{\partial\:}{\partial\:x}(x\cdot\:\cos(x))
(\partial)/(\partial x)(xcos(y)sin(z))
\frac{\partial\:}{\partial\:x}(x\cos(y)\sin(z))
derivative of y=6sqrt(4+x)
derivative\:y=6\sqrt{4+x}
derivative of (cos(x)/(x^2+1))
\frac{d}{dx}(\frac{\cos(x)}{x^{2}+1})
tangent of o2x2-3x+2
tangent\:o2x2-3x+2
integral of \sqrt[11]{x}
\int\:\sqrt[11]{x}dx
(\partial)/(\partial y)(2yz)
\frac{\partial\:}{\partial\:y}(2yz)
integral of (sqrt(x^2+2x-3))/(x+1)
\int\:\frac{\sqrt{x^{2}+2x-3}}{x+1}dx
integral of 6/(6x-5)
\int\:\frac{6}{6x-5}dx
integral of t^3e^t
\int\:t^{3}e^{t}dt
y^'+y=cos(e^x)
y^{\prime\:}+y=\cos(e^{x})
integral of+(1+sqrt(x))^3
\int\:+(1+\sqrt{x})^{3}dx
(\partial)/(\partial x)(xe^xsin(y))
\frac{\partial\:}{\partial\:x}(xe^{x}\sin(y))
integral of (x^4)/(sqrt(1-x^2))
\int\:\frac{x^{4}}{\sqrt{1-x^{2}}}dx
derivative of (x^3-12x)(3x^2+2x)
derivative\:(x^{3}-12x)(3x^{2}+2x)
derivative of (2^x*x^{-2}^{sqrt(3x-1)})
\frac{d}{dx}((2^{x}\cdot\:x^{-2})^{\sqrt{3x-1}})
(3xe^x)^'
(3xe^{x})^{\prime\:}
integral of x 1 (y)
\int\:x\frac{d}{1}(y)dx
(\partial)/(\partial x)(x*ln(x+2y)+x/y)
\frac{\partial\:}{\partial\:x}(x\cdot\:\ln(x+2y)+\frac{x}{y})
limit as x approaches 3-of (x-3)/(|x-3|)
\lim\:_{x\to\:3-}(\frac{x-3}{\left|x-3\right|})
slope ofintercept (-7)(0.3)
slopeintercept\:(-7)(0.3)
slope of (2,0),(-2.5,1)
slope\:(2,0),(-2.5,1)
derivative of-2x^5
\frac{d}{dx}(-2x^{5})
laplacetransform te^{(-3t)}sin(5t)
laplacetransform\:te^{(-3t)}\sin(5t)
(\partial)/(\partial y)(y^2+xy^3)
\frac{\partial\:}{\partial\:y}(y^{2}+xy^{3})
derivative of (x-4^3+3x(x-4)^2)
\frac{d}{dx}((x-4)^{3}+3x(x-4)^{2})
integral of (2sin(4x)-8cos(3x))
\int\:(2\sin(4x)-8\cos(3x))dx
integral from 0 to 1 of xe^{-5x}
\int\:_{0}^{1}xe^{-5x}dx
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