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Popular Calculus Problems
(\partial)/(\partial x)(4)
\frac{\partial\:}{\partial\:x}(4)
k((dx)/(dt))=x(t)+15
k(\frac{dx}{dt})=x(t)+15
integral of 7cos^{-1}(x)
\int\:7\cos^{-1}(x)dx
integral of (cos(5x)cos(3x))
\int\:(\cos(5x)\cos(3x))dx
derivative of f(x)=x^x(ln(x)+1)
derivative\:of\:f(x)=x^{x}(\ln(x)+1)
limit as x approaches 2 of x^2-5x+6x^2-4
\lim_{x\to\:2}(x^{2}-5x+6x^{2}-4)
limit as x approaches 0+of 3/x
\lim_{x\to\:0+}(\frac{3}{x})
derivative of e^{(3x/2})
\frac{d}{dx}(e^{\frac{3x}{2}})
sqrt(2x^2-x+9)
\sqrt{2x^{2}-x+9}
integral of (sqrt(3x+2))
\int\:(\sqrt{3x+2})dx
integral of-cos(2t)
\int\:-\cos(2t)dt
(\partial)/(\partial x)(-x/(x^2+y^2))
\frac{\partial\:}{\partial\:x}(-\frac{x}{x^{2}+y^{2}})
limit as x approaches-2-of x/(x^2-4)
\lim_{x\to\:-2-}(\frac{x}{x^{2}-4})
taylor sqrt(1-x^2),0
taylor\:\sqrt{1-x^{2}},0
derivative of-(48x/((x^2+12)^2))
\frac{d}{dx}(-\frac{48x}{(x^{2}+12)^{2}})
integral of (x^3)/(x^8+16)
\int\:\frac{x^{3}}{x^{8}+16}dx
integral from-1 to 1 of 4-4x^2
\int_{\:-1}^{1}4-4x^{2}dx
integral of 1/((1-x)(2-x))
\int\:\frac{1}{(1-x)(2-x)}dx
tangent of f(x)=(6x)/(2+x^2),\at (2,2)
tangent\:of\:f(x)=\frac{6x}{2+x^{2}},\at\:(2,2)
4y^{''}-8y^'+7y=0
4y^{\prime\:\prime\:}-8y^{\prime\:}+7y=0
derivative of ln(x*sqrt(x^2-1))
\frac{d}{dx}(\ln(x\cdot\:\sqrt{x^{2}-1}))
integral of sin(2theta)sin(6theta)heta
\int\:\sin(2\theta)\sin(6\theta)d\theta
integral of t^2
\int\:t^{2}
(\partial)/(\partial x)(2xy+x^2-1)
\frac{\partial\:}{\partial\:x}(2xy+x^{2}-1)
laplace 2sin(3t)cos(3t)
laplace\:2\sin(3t)\cos(3t)
limit as x approaches 1 of (ln(x))/(x-1)
\lim_{x\to\:1}(\frac{\ln(x)}{x-1})
integral from 0 to 2 of (4x^3-3x^2+2x)
\int_{\:0}^{2}(4x^{3}-3x^{2}+2x)dx
integral of+cos(θ)cos^5(sin(θ))
\int\:+\cos(θ)\cos^{5}(\sin(θ))dθ
integral of 1/(y^{1/3)}
\int\:\frac{1}{y^{\frac{1}{3}}}dy
slope of (0,-2)(2,2)
slope\:(0,-2)(2,2)
integral of 1/(tan(y))
\int\:\frac{1}{\tan(y)}dy
sum from n=1 to infinity of (2n)/(5n+1)
\sum_{n=1}^{\infty\:}\frac{2n}{5n+1}
integral from 0 to 1 of sqrt(x+16)
\int_{\:0}^{1}\sqrt{x+16}dx
derivative of 1/(cos^2(x))
derivative\:of\:\frac{1}{\cos^{2}(x)}
slope intercept of (7,0)(-1,6)
slope\:intercept\:(7,0)(-1,6)
d/(dt)(ln(x(v,t)+vt))
\frac{d}{dt}(\ln(x(v,t)+vt))
x^2y^'+2xy=11cos^2(x)
x^{2}y^{\prime\:}+2xy=11\cos^{2}(x)
integral of xIn(1+x)
\int\:xIn(1+x)
derivative of y= 6/(\sqrt[4]{x)}
derivative\:of\:y=\frac{6}{\sqrt[4]{x}}
limit as x approaches 3 of (x-1)/(x^2-1)
\lim_{x\to\:3}(\frac{x-1}{x^{2}-1})
(\partial)/(\partial x)(y^2cos(x))
\frac{\partial\:}{\partial\:x}(y^{2}\cos(x))
derivative of f(x)=x^9cos(x)
derivative\:of\:f(x)=x^{9}\cos(x)
(\partial)/(\partial y)(xye^{x+y})
\frac{\partial\:}{\partial\:y}(xye^{x+y})
integral of (sin(2x)-sin(3x))^2
\int\:(\sin(2x)-\sin(3x))^{2}dx
sum from n=1 to infinity of 3e^{-4n}
\sum_{n=1}^{\infty\:}3e^{-4n}
integral of 1/(2x^3-3x^2)
\int\:\frac{1}{2x^{3}-3x^{2}}dx
inverse of laplace (1/((x+3)^2))
inverse\:laplace\:(\frac{1}{(x+3)^{2}})
partial derivative of xyz^2
\frac{\partial}{\partial\:z}(xyz^{2})
integral from 1 to infinity of 3^{-x}
\int_{\:1}^{\infty\:}3^{-x}
slope of (-6,7),(1,-12)
slope\:(-6,7),(1,-12)
integral from 0 to 3 of sqrt(5)
\int_{\:0}^{3}\sqrt{5}dx
limit as x approaches 0+of x/(x+|x|)
\lim_{x\to\:0+}(\frac{x}{x+|x|})
integral of xsqrt(6-x)
\int\:x\sqrt{6-x}dx
partial derivative of z^3-3xyz
\frac{\partial}{\partial\:x}(z^{3}-3xyz)
integral of x(5x-3)^2
\int\:x(5x-3)^{2}dx
derivative of (2x/(sqrt(x)))
\frac{d}{dx}(\frac{2x}{\sqrt{x}})
limit as x approaches-1-of {2x^2-5x}
\lim_{x\to\:-1-}(\{2x^{2}-5x\})
partial derivative of 25x^{3/4}y^{1/4}
\frac{\partial}{\partial\:x}(25x^{\frac{3}{4}}y^{\frac{1}{4}})
partial derivative of e^{9xe^y}
\frac{\partial}{\partial\:x}(e^{9xe^{y}})
tangent of (5x)/(x+2),\at (3,3)
tangent\:of\:\frac{5x}{x+2},\at\:(3,3)
sum from n=1 to infinity of 5^nx^nn!
\sum_{n=1}^{\infty\:}5^{n}x^{n}n!
limit as t approaches 1 of (t^3-1)/(t-1)
\lim_{t\to\:1}(\frac{t^{3}-1}{t-1})
derivative of sec(x^5+x)
\frac{d}{dx}(\sec(x^{5}+x))
(dy)/(dt)=y
\frac{dy}{dt}=y
derivative of f(x)=(7x^2+7x+7)/(sqrt(x))
derivative\:of\:f(x)=\frac{7x^{2}+7x+7}{\sqrt{x}}
integral of (e^{-x})/(e^{-x)+1}
\int\:\frac{e^{-x}}{e^{-x}+1}dx
integral of p(p+6)^8
\int\:p(p+6)^{8}dp
partial derivative of sqrt(y+cos^2(x))
\frac{\partial}{\partial\:y}(\sqrt{y+\cos^{2}(x)})
derivative of 4tsin(pi t)
derivative\:of\:4t\sin(\pi\:t)
integral of 1-x^9
\int\:1-x^{9}dx
derivative of (0.2x/(x^2+9))
\frac{d}{dx}(\frac{0.2x}{x^{2}+9})
-4x^2y+y^'=4x^2
-4x^{2}y+y^{\prime\:}=4x^{2}
derivative of y=3x+4/x
derivative\:of\:y=3x+\frac{4}{x}
integral from 1 to e^2 of (ln(x))/(x^2)
\int_{\:1}^{e^{2}}\frac{\ln(x)}{x^{2}}dx
integral of-2x+6x^2-4x^3+C
\int\:-2x+6x^{2}-4x^{3}+Cdx
limit as x approaches 1-of (-1)/(x^2-1)
\lim_{x\to\:1-}(\frac{-1}{x^{2}-1})
derivative of (2x+3^2)
\frac{d}{dx}((2x+3)^{2})
(dr)/(dtheta)r=(7+sec(theta))sin(theta)
\frac{dr}{d\theta}r=(7+\sec(\theta))\sin(\theta)
derivative of y=19cos(x/b-2.5)+19
derivative\:of\:y=19\cos(\frac{x}{b}-2.5)+19
partial derivative of t/x
\frac{\partial}{\partial\:x}(\frac{t}{x})
integral of (x+1)e^{3x^2+6x}
\int\:(x+1)e^{3x^{2}+6x}dx
derivative of (4-2x-x^2/(x^2-6))
\frac{d}{dx}(\frac{4-2x-x^{2}}{x^{2}-6})
integral of (sin(x))/((cos(x))^3)
\int\:\frac{\sin(x)}{(\cos(x))^{3}}dx
derivative of f(x)=x^5-3x+4
derivative\:of\:f(x)=x^{5}-3x+4
integral of (sin(x))/(cos^5(x))
\int\:\frac{\sin(x)}{\cos^{5}(x)}dx
(x-1)y^'+(2x+1)y=0
(x-1)y^{\prime\:}+(2x+1)y=0
derivative of (e^x)/(x+1)
derivative\:of\:\frac{e^{x}}{x+1}
(\partial)/(\partial y)((12x)/(x+y))
\frac{\partial\:}{\partial\:y}(\frac{12x}{x+y})
taylor (sin(x+pi))
taylor\:(\sin(x+\pi))
tangent of-2sin(x)
tangent\:of\:-2\sin(x)
(\partial)/(\partial y)(x^2-2x-xy)
\frac{\partial\:}{\partial\:y}(x^{2}-2x-xy)
laplace 2e^{-4t}
laplace\:2e^{-4t}
(\partial)/(\partial y)(xye^z)
\frac{\partial\:}{\partial\:y}(xye^{z})
integral from 4 to infinity of 7e^{-y/2}
\int_{\:4}^{\infty\:}7e^{-\frac{y}{2}}dy
derivative of (4x^3/3)
\frac{d}{dx}(\frac{4x^{3}}{3})
tangent of f(x)= 1/(x^2+4),\at (1, 1/5)
tangent\:of\:f(x)=\frac{1}{x^{2}+4},\at\:(1,\frac{1}{5})
integral from 0 to 4 of (8t)/((t-5)^2)
\int_{\:0}^{4}\frac{8t}{(t-5)^{2}}dt
derivative of cy^{-6}
derivative\:of\:cy^{-6}
limit as x approaches 0 of (|x-0|)/(x-0)
\lim_{x\to\:0}(\frac{|x-0|}{x-0})
tangent of ((3x))/((1+x^2))
tangent\:of\:\frac{(3x)}{(1+x^{2})}
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