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Popular Calculus Problems
(\partial)/(\partial y)(sin^2(mx+ny))
\frac{\partial\:}{\partial\:y}(\sin^{2}(mx+ny))
derivative of ln(x^5-3x^3)
\frac{d}{dx}(\ln(x^{5}-3x^{3}))
sum from n=0 to infinity of 1/(6^n)
\sum\:_{n=0}^{\infty\:}\frac{1}{6^{n}}
xy^'+2y=12x^2
xy^{\prime\:}+2y=12x^{2}
d/(dt)(sin(t^3))
\frac{d}{dt}(\sin(t^{3}))
integral of (x^3+3x^2-5x-1)/(x^2-x)
\int\:\frac{x^{3}+3x^{2}-5x-1}{x^{2}-x}dx
derivative of f(x)= 4/(sqrt((x^2+6x)^3))
derivative\:f(x)=\frac{4}{\sqrt{(x^{2}+6x)^{3}}}
integral of ((ln(t))^4)/t
\int\:\frac{(\ln(t))^{4}}{t}dt
integral of 2x+c
\int\:2x+cdx
integral of sin(2pix)cos(5pix)
\int\:\sin(2πx)\cos(5πx)dx
derivative of ln(sqrt((x-3/(x-1))))
\frac{d}{dx}(\ln(\sqrt{\frac{x-3}{x-1}}))
x*(dy)/(dx)=sqrt(1-y^2)
x\cdot\:\frac{dy}{dx}=\sqrt{1-y^{2}}
integral of tan(θ)
\int\:\tan(θ)dθ
integral of x(x-1)^{10}
\int\:x(x-1)^{10}dx
(x^3*cos(x))^'
(x^{3}\cdot\:\cos(x))^{\prime\:}
y^{1/2}*(dy)/(dx)+y^{3/2}=1
y^{\frac{1}{2}}\cdot\:\frac{dy}{dx}+y^{\frac{3}{2}}=1
integral of 1/(3sin^2(x)+5cos^2(x))
\int\:\frac{1}{3\sin^{2}(x)+5\cos^{2}(x)}dx
derivative of 2sin(x+sin(2x))
\frac{d}{dx}(2\sin(x)+\sin(2x))
integral of (15)/(15+e^x)
\int\:\frac{15}{15+e^{x}}dx
integral from 0 to 100 of 1/(sqrt(x))
\int\:_{0}^{100}\frac{1}{\sqrt{x}}dx
integral from 0 to 1 of 2x
\int\:_{0}^{1}2xdx
derivative of y=4^{x+1}
derivative\:y=4^{x+1}
6*y^{''}+2*y^'=0,y^'(0)=4
6\cdot\:y^{\prime\:\prime\:}+2\cdot\:y^{\prime\:}=0,y^{\prime\:}(0)=4
integral from 0 to 1 of (2(x+2))/5
\int\:_{0}^{1}\frac{2(x+2)}{5}dx
derivative of tan(2^x)
derivative\:\tan(2^{x})
derivative of (7x^2-11xe^x)
\frac{d}{dx}((7x^{2}-11x)e^{x})
limit as x approaches 8-of (2x)/(x+8)
\lim\:_{x\to\:8-}(\frac{2x}{x+8})
y^'-1/x y=(1+ln(x))y^3
y^{\prime\:}-\frac{1}{x}y=(1+\ln(x))y^{3}
slope of f(x)=4x^2
slope\:f(x)=4x^{2}
derivative of x^3-x^2-x+2
\frac{d}{dx}(x^{3}-x^{2}-x+2)
derivative of arcsin(3xln(sqrt(x+1)))
\frac{d}{dx}(\arcsin(3x)\ln(\sqrt{x+1}))
integral of 3xzy+xy^2+2zx^2
\int\:3xzy+xy^{2}+2zx^{2}
derivative of log_{x}(x^2+1)
\frac{d}{dx}(\log_{x}(x^{2}+1))
integral of ((x^2+4))/((x-5)(x^2+9))
\int\:\frac{(x^{2}+4)}{(x-5)(x^{2}+9)}dx
integral of x^4e^{(1-x^5)}
\int\:x^{4}e^{(1-x^{5})}dx
(dy)/(dx)+5y=8
\frac{dy}{dx}+5y=8
derivative of sin(x^2+sin(x^2+sin(x^2)))
\frac{d}{dx}(\sin(x^{2}+\sin(x^{2}+\sin(x^{2}))))
integral of 16x^2
\int\:16x^{2}dx
derivative of x|x|^{|x|-1}(ln|x|+1)
\frac{d}{dx}(x\left|x\right|^{\left|x\right|-1}(\ln\left|x\right|+1))
tangent of f(x)=x^3,\at =0
tangent\:f(x)=x^{3},\at\:=0
limit as x approaches 4+of cx^2+3x
\lim\:_{x\to\:4+}(cx^{2}+3x)
integral of arccot(6y)
\int\:\arccot(6y)dy
limit as x approaches 0+of x^{tan(x)}
\lim\:_{x\to\:0+}(x^{\tan(x)})
integral of ((ln(x))^2)
\int\:((\ln(x))^{2})dx
derivative of 4x^2tan(x)
derivative\:4x^{2}\tan(x)
(\partial)/(\partial x)(xexp(x,y,z)(-x^2-y^2-z^2))
\frac{\partial\:}{\partial\:x}(xexp(x,y,z)(-x^{2}-y^{2}-z^{2}))
tangent of f(x)=-4sin(x),\at x=pi
tangent\:f(x)=-4\sin(x),\at\:x=π
integral of (sech^2(x))/(tanh(x))
\int\:\frac{\sech^{2}(x)}{\tanh(x)}dx
integral from 0 to 1 of (x^2+5)e^{-x}
\int\:_{0}^{1}(x^{2}+5)e^{-x}dx
integral of (1000)/(sqrt(100x))
\int\:\frac{1000}{\sqrt{100x}}dx
integral from 0 to 3-x of 3-x-y
\int\:_{0}^{3-x}3-x-ydy
derivative of xtan(1/x)
\frac{d}{dx}(x\tan(\frac{1}{x}))
integral of 1/((x+3)^2(x-5))
\int\:\frac{1}{(x+3)^{2}(x-5)}dx
derivative of (-6/(\sqrt[5]{x^3)})
\frac{d}{dx}(\frac{-6}{\sqrt[5]{x^{3}}})
derivative of cos^3(12x)
derivative\:\cos^{3}(12x)
normal of y=sqrt(3x^2+2x),(2,4)
normal\:y=\sqrt{3x^{2}+2x},(2,4)
integral of sin^2(xco)s^2x
\int\:\sin^{2}(xco)s^{2}xdx
y^{''}-6y^'+9y=0,y(0)=6,y^'(0)=0
y^{\prime\:\prime\:}-6y^{\prime\:}+9y=0,y(0)=6,y^{\prime\:}(0)=0
f(x)=(sin(x))/(2+cos(x))
f(x)=\frac{\sin(x)}{2+\cos(x)}
limit as x approaches 0 of sqrt(x^2+1)
\lim\:_{x\to\:0}(\sqrt{x^{2}+1})
(dy)/(dx)=x+4
\frac{dy}{dx}=x+4
derivative of 30e^xsqrt(x)
derivative\:30e^{x}\sqrt{x}
integral from 0 to 1 of (u+2)(u-3)
\int\:_{0}^{1}(u+2)(u-3)du
integral of (x^2ln^3(1+x^3))/(1+x^3)
\int\:\frac{x^{2}\ln^{3}(1+x^{3})}{1+x^{3}}dx
limit as x approaches 0 of 1/(2^x)
\lim\:_{x\to\:0}(\frac{1}{2^{x}})
parity sin(tan(2x))
parity\:\sin(\tan(2x))
integral of 3x(x^2-1/3)
\int\:3x(x^{2}-\frac{1}{3})dx
tangent of f(x)= x/(x+1),\at x=-2
tangent\:f(x)=\frac{x}{x+1},\at\:x=-2
(\partial)/(\partial x)(-1/(2x^2))
\frac{\partial\:}{\partial\:x}(-\frac{1}{2x^{2}})
integral of 1+1/((x+1)^2)
\int\:1+\frac{1}{(x+1)^{2}}dx
derivative of sin^{-1}(x)
\frac{d}{dx}(\sin^{-1}(x))
integral of sec^2(X)
\int\:\sec^{2}(X)dX
limit as x approaches-3-of 3/(x^2-9)
\lim\:_{x\to\:-3-}(\frac{3}{x^{2}-9})
integral of (3e^x+5sin(x))
\int\:(3e^{x}+5\sin(x))dx
integral from 1 to 2 of xsin(x^2)
\int\:_{1}^{2}x\sin(x^{2})dx
derivative of (72/x)
\frac{d}{dx}(\frac{72}{x})
integral from 0 to pi of (cos(2x))^4
\int\:_{0}^{π}(\cos(2x))^{4}dx
integral of 3x*e^{(-4x)}
\int\:3x\cdot\:e^{(-4x)}dx
derivative of (x^2y/(x^2+y^2))
\frac{d}{dx}(\frac{x^{2}y}{x^{2}+y^{2}})
derivative of y=|x^2-8|
derivative\:y=\left|x^{2}-8\right|
y^{''}-3y^'+2y=4x^2
y^{\prime\:\prime\:}-3y^{\prime\:}+2y=4x^{2}
integral of x/(2sqrt(x))
\int\:\frac{x}{2\sqrt{x}}dx
limit as x approaches infinity of x/k
\lim\:_{x\to\:\infty\:}(\frac{x}{k})
derivative of 6x^2-x
\frac{d}{dx}(6x^{2}-x)
(\partial)/(\partial y)(xsin(yz))
\frac{\partial\:}{\partial\:y}(x\sin(yz))
tangent of x^2-sqrt(x)
tangent\:x^{2}-\sqrt{x}
limit as x approaches 0 of (|x|)/(2x)
\lim\:_{x\to\:0}(\frac{\left|x\right|}{2x})
(\partial)/(\partial x)(2y+xy+ye^y-e^y)
\frac{\partial\:}{\partial\:x}(2y+xy+ye^{y}-e^{y})
integral of 5/(x^2-1)
\int\:\frac{5}{x^{2}-1}dx
derivative of 2^x+x
\frac{d}{dx}(2^{x}+x)
limit as x approaches 2 of 1/(x^2)
\lim\:_{x\to\:2}(\frac{1}{x^{2}})
limit as x approaches pi of x/3-(2pi)/3
\lim\:_{x\to\:π}(\frac{x}{3}-\frac{2π}{3})
(d^2x)/(dt^2)+4x=t^2
\frac{d^{2}x}{dt^{2}}+4x=t^{2}
simplify sqrt(((5-120x)^2+(150x)^2))
simplify\:\sqrt{((5-120x)^{2}+(150x)^{2})}
integral from 0 to 1 of (x+1)
\int\:_{0}^{1}(x+1)dx
integral of-xcos(x+pi/3)+xcos(x)
\int\:-x\cos(x+\frac{π}{3})+x\cos(x)dx
integral of 1/(y(1-y/m))
\int\:\frac{1}{y(1-\frac{y}{m})}dy
integral of 5t^4
\int\:5t^{4}dt
integral of (x^2-12x-1)/((x-1)^2(x^2+1))
\int\:\frac{x^{2}-12x-1}{(x-1)^{2}(x^{2}+1)}dx
derivative of mx+c
\frac{d}{dx}(mx+c)
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