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Popular Calculus Problems
x^2dx+2ydy=0,y(0)=2
x^{2}dx+2ydy=0,y(0)=2
tangent of y= 7/(sqrt(x))(1.7)
tangent\:y=\frac{7}{\sqrt{x}}(1.7)
derivative of ((sqrt(x))/3+9)^{3/2}
derivative\:(\frac{\sqrt{x}}{3}+9)^{\frac{3}{2}}
integral from 0 to-1 of (x^3+8)/(x+2)
\int\:_{0}^{-1}\frac{x^{3}+8}{x+2}dx
(dy)/(dx)+y/x =x^3y^2
\frac{dy}{dx}+\frac{y}{x}=x^{3}y^{2}
derivative of ln|sqrt(e^{1+x^2)+3x^4}+cot^2(pix|)
\frac{d}{dx}(\ln\left|\sqrt{e^{1+x^{2}}+3x^{4}}+\cot^{2}(πx)\right|)
(1/(1+e^{-x)})^'
(\frac{1}{1+e^{-x}})^{\prime\:}
tangent of 6x^{3/5}
tangent\:6x^{\frac{3}{5}}
parity (tan(x))/x
parity\:\frac{\tan(x)}{x}
derivative of sqrt(ln(6x))
\frac{d}{dx}(\sqrt{\ln(6x)})
integral of 2/v
\int\:\frac{2}{v}dv
(dy)/(dx)=2*cos(9pix-1) derivative of cos(9pix-1)
\frac{dy}{dx}=2\cdot\:\cos(9πx-1)\frac{d}{dx}(\cos(9πx-1))
integral of sqrt(x)-x+2
\int\:\sqrt{x}-x+2dx
(\partial)/(\partial y)(12y-5xcos(y))
\frac{\partial\:}{\partial\:y}(12y-5x\cos(y))
inverse oflaplace 3x+2
inverselaplace\:3x+2
integral of cos^4(xsi)n^2x
\int\:\cos^{4}(xsi)n^{2}xdx
integral of x/((4x^2+3)^6)
\int\:\frac{x}{(4x^{2}+3)^{6}}dx
laplacetransform e^{-t}(t^2+1)
laplacetransform\:e^{-t}(t^{2}+1)
tangent of 3/(2sqrt(3x+7)),\at x=6
tangent\:\frac{3}{2\sqrt{3x+7}},\at\:x=6
derivative of x^2arctan(x)
\frac{d}{dx}(x^{2}\arctan(x))
sum from n=0 to infinity of 1/(3^n+1)
\sum\:_{n=0}^{\infty\:}\frac{1}{3^{n}+1}
derivative of 1/2 x^4+11x^3+30x^2
derivative\:\frac{1}{2}x^{4}+11x^{3}+30x^{2}
(2dy)/(dx)+5y=4
\frac{2dy}{dx}+5y=4
limit as x approaches 0 of 1/3
\lim\:_{x\to\:0}(\frac{1}{3})
limit as x approaches 0 of f(x)x
\lim\:_{x\to\:0}(f(x)x)
4xy^'-(1+x)y=2xy^2
4xy^{\prime\:}-(1+x)y=2xy^{2}
(dy)/(dx)=((y^3+x^3))/(xy^2)
\frac{dy}{dx}=\frac{(y^{3}+x^{3})}{xy^{2}}
factor t^3-6t^2+9t
factor\:t^{3}-6t^{2}+9t
derivative of a(x-h^2+k)
\frac{d}{dx}(a(x-h)^{2}+k)
integral of (4-x^2)
\int\:(4-x^{2})dx
integral from 0 to infinity of e^{-t}
\int\:_{0}^{\infty\:}e^{-t}dt
derivative of 5x^2+3x-1
\frac{d}{dx}(5x^{2}+3x-1)
derivative of 1/(2y)
derivative\:\frac{1}{2y}
simplify (16)/((5-x)^2)-1
simplify\:\frac{16}{(5-x)^{2}}-1
(\partial)/(\partial x)(arcsin(3x-2))
\frac{\partial\:}{\partial\:x}(\arcsin(3x-2))
derivative of f(x)= x/(x^2-16)
derivative\:f(x)=\frac{x}{x^{2}-16}
limit as x approaches 1 of x/(1-x^4)
\lim\:_{x\to\:1}(\frac{x}{1-x^{4}})
area y=(40)/x ,y=-9x+39
area\:y=\frac{40}{x},y=-9x+39
derivative of sqrt(6)x-sqrt(2x)
\frac{d}{dx}(\sqrt{6}x-\sqrt{2x})
inverse oflaplace 1/(15s^3)
inverselaplace\:\frac{1}{15s^{3}}
(\partial)/(\partial x)((x-cy)^9+(x+cy)^9)
\frac{\partial\:}{\partial\:x}((x-cy)^{9}+(x+cy)^{9})
tangent of (x^2)/(x+5)
tangent\:\frac{x^{2}}{x+5}
integral from-5 to 6 of 0
\int\:_{-5}^{6}0
derivative of-6sin(x-6xcos(x)+x^2sin(x))
\frac{d}{dx}(-6\sin(x)-6x\cos(x)+x^{2}\sin(x))
derivative of y=x^8f(x)
derivative\:y=x^{8}f(x)
integral of (1+sqrt(x))^5
\int\:(1+\sqrt{x})^{5}dx
limit as x approaches infinity of (5x)/(5x+3x^{1/x)}
\lim\:_{x\to\:\infty\:}(\frac{5x}{5x+3x^{\frac{1}{x}}})
area f(x)=2x-3,4,0
area\:f(x)=2x-3,4,0
tangent of f(x)= 2/x ,\at x=5
tangent\:f(x)=\frac{2}{x},\at\:x=5
derivative of e^{3sqrt(x)}
derivative\:e^{3\sqrt{x}}
integral of (x+5)/(x+6)
\int\:\frac{x+5}{x+6}dx
derivative of cos(x-sin(x))
\frac{d}{dx}(\cos(x)-\sin(x))
(dy)/(dx)=sqrt(x^9+1)
\frac{dy}{dx}=\sqrt{x^{9}+1}
t^2(dy)/(dt)+4ty-y^3=0,y(1)= 3/(sqrt(2))
t^{2}\frac{dy}{dt}+4ty-y^{3}=0,y(1)=\frac{3}{\sqrt{2}}
tangent of y= 3/(sin(x)+cos(x))
tangent\:y=\frac{3}{\sin(x)+\cos(x)}
integral of (48)/(36-x^2)
\int\:\frac{48}{36-x^{2}}dx
derivative of ((x+b(x-a))/((x-b)))
\frac{d}{dx}(\frac{(x+b)(x-a)}{(x-b)})
tangent of f(x)=sqrt(4x+84),(4,10)
tangent\:f(x)=\sqrt{4x+84},(4,10)
(d^2)/(dx^2)(2^{(x^2+1)})
\frac{d^{2}}{dx^{2}}(2^{(x^{2}+1)})
integral from 0 to x^2 of sin(t^3)
\int\:_{0}^{x^{2}}\sin(t^{3})dt
derivative of cos(a^3+x^3)
\frac{d}{dx}(\cos(a^{3}+x^{3}))
integral of sec(3t)
\int\:\sec(3t)dt
limit as x approaches pi/2-of xsec(x)
\lim\:_{x\to\:\frac{π}{2}-}(x\sec(x))
limit as x approaches-1 of 5
\lim\:_{x\to\:-1}(5)
derivative of x^{1/2}+4x^{2/3}+7x+3
\frac{d}{dx}(x^{\frac{1}{2}}+4x^{\frac{2}{3}}+7x+3)
(\partial)/(\partial x)(x(7-x-y))
\frac{\partial\:}{\partial\:x}(x(7-x-y))
limit as x approaches 0 of cot(7x)
\lim\:_{x\to\:0}(\cot(7x))
integral of 9tan(9x)
\int\:9\tan(9x)dx
limit as x approaches 5 of 4x
\lim\:_{x\to\:5}(4x)
integral of (3x+2y)
\int\:(3x+2y)dx
derivative of-xln(x)
\frac{d}{dx}(-x\ln(x))
derivative of \sqrt[3]{(x^2+2^2})
\frac{d}{dx}(\sqrt[3]{(x^{2}+2)^{2}})
derivative of 5t^{7/5}+5e^3
derivative\:5t^{\frac{7}{5}}+5e^{3}
y^'=7y^2sin(x)
y^{\prime\:}=7y^{2}\sin(x)
d/(dm)(5m^2+15m^3)
\frac{d}{dm}(5m^{2}+15m^{3})
integral of x/(sqrt(x^2+a^2))
\int\:\frac{x}{\sqrt{x^{2}+a^{2}}}dx
integral of 34x+20*(-1/10)x+1
\int\:34x+20\cdot\:(-\frac{1}{10})x+1dx
integral of 1/(9e^{-5x)+e^{5x}}
\int\:\frac{1}{9e^{-5x}+e^{5x}}dx
derivative of y=11^{tan(6x)}
derivative\:y=11^{\tan(6x)}
integral of (4x^2-6x+3)/(sqrt(x))
\int\:\frac{4x^{2}-6x+3}{\sqrt{x}}dx
integral of (3x^3+3x^2+2)/(x^3+x)
\int\:\frac{3x^{3}+3x^{2}+2}{x^{3}+x}dx
derivative of tan(x-cot(x))
\frac{d}{dx}(\tan(x)-\cot(x))
integral of 4/(sin^2(x))
\int\:\frac{4}{\sin^{2}(x)}dx
derivative of (x-3sqrt(x))
\frac{d}{dx}((x-3)\sqrt{x})
limit as x approaches+0 of (14)/(tan(x))
\lim\:_{x\to\:+0}(\frac{14}{\tan(x)})
integral of 3x^2-5x-7
\int\:3x^{2}-5x-7dx
derivative of sin(narcsin(x))
\frac{d}{dx}(\sin(n\arcsin(x)))
derivative of-2x
derivative\:-2x
integral of (8x-5)/(\sqrt[3]{x)}
\int\:\frac{8x-5}{\sqrt[3]{x}}dx
y^'=2y^2+xy^2
y^{\prime\:}=2y^{2}+xy^{2}
11y^{''}+13y^'+13/44 y=0,y(0)=2,y^'(0)=1
11y^{\prime\:\prime\:}+13y^{\prime\:}+\frac{13}{44}y=0,y(0)=2,y^{\prime\:}(0)=1
derivative of (sec(2x)/(1+tan(2x)))
\frac{d}{dx}(\frac{\sec(2x)}{1+\tan(2x)})
derivative of x^{2/x}
derivative\:x^{\frac{2}{x}}
limit as x approaches 0 of (5x+x^2)/x
\lim\:_{x\to\:0}(\frac{5x+x^{2}}{x})
integral of cot^3(x/3)
\int\:\cot^{3}(\frac{x}{3})dx
integral of xln^4(x)
\int\:x\ln^{4}(x)dx
(\partial)/(\partial x)(t/(c^2t^2-x^2))
\frac{\partial\:}{\partial\:x}(\frac{t}{c^{2}t^{2}-x^{2}})
tangent of f(x)=(12)/(x+7)
tangent\:f(x)=\frac{12}{x+7}
(\partial)/(\partial x)((2x-y)/(5xy+6))
\frac{\partial\:}{\partial\:x}(\frac{2x-y}{5xy+6})
f(t)=arcsin(t)
f(t)=\arcsin(t)
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