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Popular Calculus Problems
tangent of f(x)=3x^2+12x-36
tangent\:f(x)=3x^{2}+12x-36
integral from-3 to 1 of x^2+2x-3
\int\:_{-3}^{1}x^{2}+2x-3dx
(dy)/(dx)+y^7x+2y=0
\frac{dy}{dx}+y^{7}x+2y=0
integral of-(10)/(sqrt(x^2+16))
\int\:-\frac{10}{\sqrt{x^{2}+16}}dx
integral of f(u)
\int\:f(u)du
tangent of f(x)=(5x)/(x-2),(3,15)
tangent\:f(x)=\frac{5x}{x-2},(3,15)
-y^{''}+36y=0
-y^{\prime\:\prime\:}+36y=0
derivative of x^{7/2}
\frac{d}{dx}(x^{\frac{7}{2}})
derivative of 6y
derivative\:6y
y^'=k(1-y)^2
y^{\prime\:}=k(1-y)^{2}
integral of (1/(x^2))
\int\:(\frac{1}{x^{2}})dx
integral of (cos^2(2x))/4
\int\:\frac{\cos^{2}(2x)}{4}dx
limit as x approaches 0+of 15cos(15x)
\lim\:_{x\to\:0+}(15\cos(15x))
integral of (2x^3+x^2-x-31)/(x^2-x-6)
\int\:\frac{2x^{3}+x^{2}-x-31}{x^{2}-x-6}dx
derivative of x/(x^2+2x+2)
\frac{d}{dx}(\frac{x}{x^{2}+2x+2})
derivative of 3x^2-12x-15
derivative\:3x^{2}-12x-15
(\partial)/(\partial x)(e^{-2t}cos(x))
\frac{\partial\:}{\partial\:x}(e^{-2t}\cos(x))
derivative of A(e^x+e^{xx})
\frac{d}{dx}(A(e^{x}+e^{xx}))
y^{''}+13y^'+30y=0,y(0)=1,y^'(0)=0
y^{\prime\:\prime\:}+13y^{\prime\:}+30y=0,y(0)=1,y^{\prime\:}(0)=0
limit as x approaches infinity of 5/x-2
\lim\:_{x\to\:\infty\:}(\frac{5}{x}-2)
integral of (3x+5)^3
\int\:(3x+5)^{3}dx
maclaurin f(x)=x^4sin(4x)
maclaurin\:f(x)=x^{4}\sin(4x)
limit as x approaches 2 of x(2)
\lim\:_{x\to\:2}(x(2))
integral from 3 to sqrt(14 of)x
\int\:_{3}^{\sqrt{14}}xdx
integral of cos^2(u)sin(u)
\int\:\cos^{2}(u)\sin(u)du
y^{''}+9y=cos(3x)+sin(3x)
y^{\prime\:\prime\:}+9y=\cos(3x)+\sin(3x)
y^'=(6x^4e^{y/x}+x^2y^2)/(x^3y)
y^{\prime\:}=\frac{6x^{4}e^{\frac{y}{x}}+x^{2}y^{2}}{x^{3}y}
derivative of 2x^3+2x-1
derivative\:2x^{3}+2x-1
limit as z approaches-1+2i of z/(z+1+2i)
\lim\:_{z\to\:-1+2i}(\frac{z}{z+1+2i})
derivative of-(x^2/(y^2))
\frac{d}{dx}(-\frac{x^{2}}{y^{2}})
limit as m approaches 0 of m/(m^2+4m)
\lim\:_{m\to\:0}(\frac{m}{m^{2}+4m})
integral of e^{4x-3}
\int\:e^{4x-3}dx
integral of ((x-1))/((x-2)(x-3))
\int\:\frac{(x-1)}{(x-2)(x-3)}dx
limit as x approaches 2 of |x|
\lim\:_{x\to\:2}(\left|x\right|)
limit as x approaches 0 of x+5
\lim\:_{x\to\:0}(x+5)
derivative of ln(sqrt(3x^5+2))
\frac{d}{dx}(\ln(\sqrt{3x^{5}+2}))
sum from n=3 to infinity of (3^n)/(10^n)
\sum\:_{n=3}^{\infty\:}\frac{3^{n}}{10^{n}}
(dy)/(dx)=9xsqrt(3y+7)
\frac{dy}{dx}=9x\sqrt{3y+7}
(2xy^2+3x^2)dx+2x^2ydy=0
(2xy^{2}+3x^{2})dx+2x^{2}ydy=0
(\partial)/(\partial x)(1/(ln(2/x)))
\frac{\partial\:}{\partial\:x}(\frac{1}{\ln(\frac{2}{x})})
tangent of f(x)=3x^2-1
tangent\:f(x)=3x^{2}-1
tangent of f(x)=12sqrt(x),(4,24)
tangent\:f(x)=12\sqrt{x},(4,24)
y^{''}+6y^'+8y=e^{2x}
y^{\prime\:\prime\:}+6y^{\prime\:}+8y=e^{2x}
y^{''}-y^'-6y=0,y(0)=-1,y^'(0)=4
y^{\prime\:\prime\:}-y^{\prime\:}-6y=0,y(0)=-1,y^{\prime\:}(0)=4
integral of e^{2-5x}
\int\:e^{2-5x}dx
limit as x approaches 2+of 1/(x^2-5x+6)
\lim\:_{x\to\:2+}(\frac{1}{x^{2}-5x+6})
2y^{''}+(a+1)y=0
2y^{\prime\:\prime\:}+(a+1)y=0
integral of {(3-x)/(x^2+1)+xln(x^2)}
\int\:\left\{\frac{3-x}{x^{2}+1}+x\ln(x^{2})\right\}dx
derivative of y=sqrt(1+3x^2)(ln(x^2))
derivative\:y=\sqrt{1+3x^{2}}(\ln(x^{2}))
derivative of f(x)=(x^3+4)e^x
derivative\:f(x)=(x^{3}+4)e^{x}
integral of (x^2+4)/(x+1)
\int\:\frac{x^{2}+4}{x+1}dx
sum from n=0 to infinity of 3(x/4)^n
\sum\:_{n=0}^{\infty\:}3(\frac{x}{4})^{n}
tangent of f(x)= 1/(x-5),\at x=10
tangent\:f(x)=\frac{1}{x-5},\at\:x=10
derivative of g(x)=x^2(1-7x)
derivative\:g(x)=x^{2}(1-7x)
derivative of ((x+7/(x-7))^5)
\frac{d}{dx}((\frac{x+7}{x-7})^{5})
derivative of (ln(9)^x)
\frac{d}{dx}((\ln(9))^{x})
integral of (ln(y))
\int\:(\ln(y))dy
integral of ((5x+7))/((x^2+4x+4))
\int\:\frac{(5x+7)}{(x^{2}+4x+4)}dx
derivative of sqrt((x+3))
derivative\:\sqrt{(x+3)}
integral of 1/(sin(x/a))
\int\:\frac{1}{\sin(\frac{x}{a})}dx
limit as x approaches 0+of (-1)/(14x)
\lim\:_{x\to\:0+}(\frac{-1}{14x})
integral of x^2-7x+4
\int\:x^{2}-7x+4dx
integral of (sec(x/(24)))^2tan(x/(24))
\int\:(\sec(\frac{x}{24}))^{2}\tan(\frac{x}{24})dx
limit as x approaches-infinity of e
\lim\:_{x\to\:-\infty\:}(e)
(x^2+49)(dy)/(dx)=1,y(7)=0
(x^{2}+49)\frac{dy}{dx}=1,y(7)=0
integral of (x+8)/(x(x+6))
\int\:\frac{x+8}{x(x+6)}dx
limit as h approaches 0 of (sinh(x))/h
\lim\:_{h\to\:0}(\frac{\sinh(x)}{h})
inverse oflaplace (s+2)/(s^2+2s+1)
inverselaplace\:\frac{s+2}{s^{2}+2s+1}
integral of 2cos(ln(x))
\int\:2\cos(\ln(x))dx
integral of sin(2x^2)
\int\:\sin(2x^{2})dx
integral of (cos^4(x)-cos^6(x))
\int\:(\cos^{4}(x)-\cos^{6}(x))dx
integral of (2+ln(7x))/(3x)
\int\:\frac{2+\ln(7x)}{3x}dx
y^'+4x^3y=x^3
y^{\prime\:}+4x^{3}y=x^{3}
(\partial)/(\partial x)(-5xy+2)
\frac{\partial\:}{\partial\:x}(-5xy+2)
derivative of 4x^2-1
\frac{d}{dx}(4x^{2}-1)
integral of 1/((3n+5)^4)
\int\:\frac{1}{(3n+5)^{4}}
integral of (x^2)/((x^2+7)^2)
\int\:\frac{x^{2}}{(x^{2}+7)^{2}}dx
y^{''}+2y^'+2y=0,y(0)=0,y^'(0)=1
y^{\prime\:\prime\:}+2y^{\prime\:}+2y=0,y(0)=0,y^{\prime\:}(0)=1
(\partial)/(\partial y)((x+y)/(y+z))
\frac{\partial\:}{\partial\:y}(\frac{x+y}{y+z})
integral of 2sin(2x)
\int\:2\sin(2x)dx
integral of (1-x)sqrt(x)
\int\:(1-x)\sqrt{x}dx
taylor e^{-x/2}e^{-1/4}
taylor\:e^{-\frac{x}{2}}e^{-\frac{1}{4}}
(\partial)/(\partial x)(6ycos(x))
\frac{\partial\:}{\partial\:x}(6y\cos(x))
limit as x approaches 7 of 1/((x-7))
\lim\:_{x\to\:7}(\frac{1}{(x-7)})
integral of sech^2(2x-1/8)
\int\:\sech^{2}(2x-\frac{1}{8})dx
integral of (1+ln(x))/x
\int\:\frac{1+\ln(x)}{x}dx
integral of ln(e^{6x-7})
\int\:\ln(e^{6x-7})dx
(sqrt(2-x))^'
(\sqrt{2-x})^{\prime\:}
derivative of (9x^2-18x+18e^{-6x})
\frac{d}{dx}((9x^{2}-18x+18)e^{-6x})
derivative of (x^2+4/(x+5))
\frac{d}{dx}(\frac{x^{2}+4}{x+5})
integral from 1 to e^4 of (ln^2(x^2))/x
\int\:_{1}^{e^{4}}\frac{\ln^{2}(x^{2})}{x}dx
integral from-1 to 2 of x^3
\int\:_{-1}^{2}x^{3}dx
limit as x approaches infinity of 0.6^x
\lim\:_{x\to\:\infty\:}(0.6^{x})
derivative of f(x)=ln(sqrt(x))
derivative\:f(x)=\ln(\sqrt{x})
derivative of (x+(x+sin^2(x)^7)^3)
\frac{d}{dx}((x+(x+\sin^{2}(x))^{7})^{3})
integral of t^2e^{-t^3}
\int\:t^{2}e^{-t^{3}}dt
laplacetransform x^4
laplacetransform\:x^{4}
y^{''}+9y=t^3
y^{\prime\:\prime\:}+9y=t^{3}
sum from n=1 to infinity of 6/(n(n+3))
\sum\:_{n=1}^{\infty\:}\frac{6}{n(n+3)}
derivative of 2x+cos(2x)
\frac{d}{dx}(2x+\cos(2x))
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