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Popular Calculus Problems
integral of (8x-3)/(12x^2-7x+1)
\int\:\frac{8x-3}{12x^{2}-7x+1}dx
integral of (x^3)/(x^4+4)
\int\:\frac{x^{3}}{x^{4}+4}dx
derivative of (1/(y^2)-9/(y^4))(y+5y^3)
derivative\:(\frac{1}{y^{2}}-\frac{9}{y^{4}})(y+5y^{3})
taylor f(x)=ln(((1+x))/((1-x)))
taylor\:f(x)=\ln(\frac{(1+x)}{(1-x)})
8(ln(y))y^'-x^7y=0
8(\ln(y))y^{\prime\:}-x^{7}y=0
d/(dt)(cos(5t))
\frac{d}{dt}(\cos(5t))
integral of ((1-x^2)^{1/2})/(x^4)
\int\:\frac{(1-x^{2})^{\frac{1}{2}}}{x^{4}}dx
-6x^2y+y^'=-10x^2
-6x^{2}y+y^{\prime\:}=-10x^{2}
inverse oflaplace 5/(s^2-12)-(4s)/(s^2+8)
inverselaplace\:\frac{5}{s^{2}-12}-\frac{4s}{s^{2}+8}
derivative of y=3x^2+(8x)/3-2
derivative\:y=3x^{2}+\frac{8x}{3}-2
integral of (900)/((2x-5)^2)
\int\:\frac{900}{(2x-5)^{2}}dx
integral of 1/(x^2sqrt(x^2-6))
\int\:\frac{1}{x^{2}\sqrt{x^{2}-6}}dx
derivative of f(x)=(x+2)/(10-3x)
derivative\:f(x)=\frac{x+2}{10-3x}
integral from 5 to 7 of x^3
\int\:_{5}^{7}x^{3}dx
integral from 0 to 3 of 3x^2
\int\:_{0}^{3}3x^{2}dx
(\partial)/(\partial x)(x^{2/5}*y^{3/5})
\frac{\partial\:}{\partial\:x}(x^{\frac{2}{5}}\cdot\:y^{\frac{3}{5}})
derivative of 1/(5+2x)
\frac{d}{dx}(\frac{1}{5+2x})
tangent of y=sqrt(5x-2),(5,sqrt(23))
tangent\:y=\sqrt{5x-2},(5,\sqrt{23})
inverse oflaplace \at+b
inverselaplace\:\at\:+b
derivative of y=x^2-2x
derivative\:y=x^{2}-2x
integral of e^{1-2x}
\int\:e^{1-2x}dx
(\partial)/(\partial x)(e^{xe^x})
\frac{\partial\:}{\partial\:x}(e^{xe^{x}})
integral of xtan(x)
\int\:x\tan(x)dx
integral from 1 to e of 5x^2ln(x)
\int\:_{1}^{e}5x^{2}\ln(x)dx
integral of sqrt(1+1/4 x)
\int\:\sqrt{1+\frac{1}{4}x}dx
derivative of ln(8x^2+1)
\frac{d}{dx}(\ln(8x^{2}+1))
integral of (-3x^3+2x^2-3x-6)/(x^3+x)
\int\:\frac{-3x^{3}+2x^{2}-3x-6}{x^{3}+x}dx
tangent of 1/3 x^3-(16)/(sqrt(x))-40/3
tangent\:\frac{1}{3}x^{3}-\frac{16}{\sqrt{x}}-\frac{40}{3}
limit as h approaches 0 of 7
\lim\:_{h\to\:0}(7)
integral of (8x^3-9x^2+4)
\int\:(8x^{3}-9x^{2}+4)dx
derivative of sqrt(5x-1)
derivative\:\sqrt{5x-1}
sum from n=0 to infinity of (3^n)/(4^n)
\sum\:_{n=0}^{\infty\:}\frac{3^{n}}{4^{n}}
integral from 1 to infinity of (1/(x^2))
\int\:_{1}^{\infty\:}(\frac{1}{x^{2}})dx
limit as x approaches infinity of f(x)(x)^2
\lim\:_{x\to\:\infty\:}(f(x)(x)^{2})
limit as x approaches-infinity of x^2-1
\lim\:_{x\to\:-\infty\:}(x^{2}-1)
derivative of (x^2+1)(x^2-2x)
derivative\:(x^{2}+1)(x^{2}-2x)
f(x)=(cos(x))/(1-sin(x))
f(x)=\frac{\cos(x)}{1-\sin(x)}
(\partial)/(\partial y)(6xy-2+10x^2y)
\frac{\partial\:}{\partial\:y}(6xy-2+10x^{2}y)
derivative of ln(sin^3(x^2+7))
\frac{d}{dx}(\ln(\sin^{3}(x^{2}+7)))
tangent of y^3+xy^2-61=x+3y^2,\at x=3
tangent\:y^{3}+xy^{2}-61=x+3y^{2},\at\:x=3
integral of (x^2)/(sqrt(2-x))
\int\:\frac{x^{2}}{\sqrt{2-x}}dx
integral of cot(10x)csc^4(10z)
\int\:\cot(10x)\csc^{4}(10z)
integral of x^3-4x^{-2}+5
\int\:x^{3}-4x^{-2}+5dx
integral from 0 to 2 of 3
\int\:_{0}^{2}3dx
integral of sqrt((arcsin(x))/(1-x^2))
\int\:\sqrt{\frac{\arcsin(x)}{1-x^{2}}}dx
integral of (2x+9)^5
\int\:(2x+9)^{5}dx
tangent of y=(sqrt(x))/(x+1),(4,0.4)
tangent\:y=\frac{\sqrt{x}}{x+1},(4,0.4)
integral of sin(3y)
\int\:\sin(3y)dy
integral of t^2e^{-t/4}
\int\:t^{2}e^{-\frac{t}{4}}dt
integral from-infinity to-1 of e^{-18t}
\int\:_{-\infty\:}^{-1}e^{-18t}dt
integral of 3xsec^2(x)
\int\:3x\sec^{2}(x)dx
limit as x approaches pi/4 of sin(x)
\lim\:_{x\to\:\frac{π}{4}}(\sin(x))
(dy)/(dx)=(xy+7x-y-7)/(xy-2x+8y-16)
\frac{dy}{dx}=\frac{xy+7x-y-7}{xy-2x+8y-16}
derivative of 1/(e^{-2x})
\frac{d}{dx}(\frac{1}{e^{-2x}})
y^{''}-10y^'+25y=t^{-5}e^{5t}
y^{\prime\:\prime\:}-10y^{\prime\:}+25y=t^{-5}e^{5t}
derivative of sin(sin(2x))
\frac{d}{dx}(\sin(\sin(2x)))
integral of (3x^5-5x+6)
\int\:(3x^{5}-5x+6)dx
inverse oflaplace (s+1)/(s^2(s^2+1))
inverselaplace\:\frac{s+1}{s^{2}(s^{2}+1)}
(1-x)y^{''}+xy^'-y=(x-1)^2e^{-x}
(1-x)y^{\prime\:\prime\:}+xy^{\prime\:}-y=(x-1)^{2}e^{-x}
inverse oflaplace 2/(s(s+2)+2)
inverselaplace\:\frac{2}{s(s+2)+2}
area x,x^{2.42},[0.99,1]
area\:x,x^{2.42},[0.99,1]
area y=sin(x),y=5x,x= pi/2 ,x=pi
area\:y=\sin(x),y=5x,x=\frac{π}{2},x=π
integral of 1/(2sqrt(x+3)+x)
\int\:\frac{1}{2\sqrt{x+3}+x}dx
xdy+(y-3xy)dx=0
xdy+(y-3xy)dx=0
limit as x approaches 1 of-cos(1/(x-1))
\lim\:_{x\to\:1}(-\cos(\frac{1}{x-1}))
derivative of 5+sin(45)
\frac{d}{dx}(5+\sin(45))
area cos(x),sin(x),[0, pi/2 ]
area\:\cos(x),\sin(x),[0,\frac{π}{2}]
(\partial)/(\partial y)(3x^2y+cos(y))
\frac{\partial\:}{\partial\:y}(3x^{2}y+\cos(y))
limit as n approaches infinity of n+1
\lim\:_{n\to\:\infty\:}(n+1)
integral of 9tan^3(θ)
\int\:9\tan^{3}(θ)dθ
limit as x approaches 2 of 4x^2+5x+3
\lim\:_{x\to\:2}(4x^{2}+5x+3)
derivative of f(x)=x^2(2x+9)^3
derivative\:f(x)=x^{2}(2x+9)^{3}
integral from 0 to pi of cos(4x)
\int\:_{0}^{π}\cos(4x)dx
(dy)/(dx)=6-y
\frac{dy}{dx}=6-y
integral of 1/(sqrt(16-25x^2))
\int\:\frac{1}{\sqrt{16-25x^{2}}}dx
derivative of 5/x-2/(x^3)+1/(x^4)
derivative\:\frac{5}{x}-\frac{2}{x^{3}}+\frac{1}{x^{4}}
integral of (4x^2+8x+9)^6(x+1)
\int\:(4x^{2}+8x+9)^{6}(x+1)dx
derivative of arccos(x)
derivative\:\arccos(x)
limit as x approaches 0 of (e^x)/(x^2)
\lim\:_{x\to\:0}(\frac{e^{x}}{x^{2}})
(d^4)/(dx^4)(x^{-2})
\frac{d^{4}}{dx^{4}}(x^{-2})
integral from 0 to 1 of sin(pix+pi/4)
\int\:_{0}^{1}\sin(πx+\frac{π}{4})dx
integral of cos(2x)sqrt(sin(2x))
\int\:\cos(2x)\sqrt{\sin(2x)}dx
integral of e^{2t}sin(t)
\int\:e^{2t}\sin(t)dt
derivative of a^6+cos^6(x)
derivative\:a^{6}+\cos^{6}(x)
integral from-3 to 1 of (1+4x)
\int\:_{-3}^{1}(1+4x)dx
limit as x approaches 6 of sqrt(2x-5)
\lim\:_{x\to\:6}(\sqrt{2x-5})
(dx)/(dt)=3sqrt(xt)
\frac{dx}{dt}=3\sqrt{xt}
integral of e^2sin(x)
\int\:e^{2}\sin(x)dx
y^{''}-9y^'+2y=xe^x
y^{\prime\:\prime\:}-9y^{\prime\:}+2y=xe^{x}
integral from 1 to infinity of 1/(sqrt(x)+x\sqrt{x)}
\int\:_{1}^{\infty\:}\frac{1}{\sqrt{x}+x\sqrt{x}}dx
derivative of pi^{x^2}
derivative\:π^{x^{2}}
integral of 1/(5-4x)
\int\:\frac{1}{5-4x}dx
integral of (7-98x)/(sqrt(16-49x^2))
\int\:\frac{7-98x}{\sqrt{16-49x^{2}}}dx
area y=9x,y=x^2-10
area\:y=9x,y=x^{2}-10
integral from 0 to 1 of 3e^{-3t}
\int\:_{0}^{1}3e^{-3t}dt
derivative of (3x+1^{1/2})
\frac{d}{dx}((3x+1)^{\frac{1}{2}})
derivative of (x^2-3x+2(2x^3+1))
\frac{d}{dx}((x^{2}-3x+2)(2x^{3}+1))
integral of 8sin^6(x)cos(x)
\int\:8\sin^{6}(x)\cos(x)dx
derivative of y=arctan(cos(x))
derivative\:y=\arctan(\cos(x))
derivative of e^{2x}+x^3
\frac{d}{dx}(e^{2x}+x^{3})
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