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Popular Calculus Problems
limit as x approaches-4 of 8x+1
\lim\:_{x\to\:-4}(8x+1)
integral of x^4e^{8x^5}
\int\:x^{4}e^{8x^{5}}dx
derivative of f(x)=e^3
derivative\:f(x)=e^{3}
tangent of f(x)=x^5,(1,1)
tangent\:f(x)=x^{5},(1,1)
derivative of sec(xtan(y))
\frac{d}{dx}(\sec(x)\tan(y))
integral of 81-x^2
\int\:81-x^{2}dx
derivative of 3+x^{10}e^x
\frac{d}{dx}(3+x^{10}e^{x})
integral of 1/(2^2+2x^2)
\int\:\frac{1}{2^{2}+2x^{2}}dx
(dy)/(dx)=4xe^{(3y)}
\frac{dy}{dx}=4xe^{(3y)}
integral of ((x+3)^2)/(sqrt(x))
\int\:\frac{(x+3)^{2}}{\sqrt{x}}dx
integral of-1280(1+4x)^{-3}
\int\:-1280(1+4x)^{-3}dx
derivative of (x^2-4/x)
\frac{d}{dx}(\frac{x^{2}-4}{x})
integral of (x^4-1)/(x^2+1)
\int\:\frac{x^{4}-1}{x^{2}+1}dx
integral of (sec^2(x)-4)
\int\:(\sec^{2}(x)-4)dx
taylor x^{-2},4
taylor\:x^{-2},4
integral of 5/(4x)
\int\:\frac{5}{4x}dx
integral of e^{-x-1}
\int\:e^{-x-1}dx
(\partial)/(\partial x)(sin(2x+5y))
\frac{\partial\:}{\partial\:x}(\sin(2x+5y))
integral of (tan^4(x))
\int\:(\tan^{4}(x))dx
integral of (pix^3+1)^43pix^2
\int\:(πx^{3}+1)^{4}3πx^{2}dx
(\partial)/(\partial x)(sqrt(10-x^2-y^2))
\frac{\partial\:}{\partial\:x}(\sqrt{10-x^{2}-y^{2}})
(\partial)/(\partial x)(ln(8-xe^{-x}))
\frac{\partial\:}{\partial\:x}(\ln(8-xe^{-x}))
derivative of ((4x^2/(8-x))^3)
\frac{d}{dx}((\frac{4x^{2}}{8-x})^{3})
limit as x approaches 1 of (x^3+1)/(x-1)
\lim\:_{x\to\:1}(\frac{x^{3}+1}{x-1})
(\partial)/(\partial y)((y^2)/(x+1))
\frac{\partial\:}{\partial\:y}(\frac{y^{2}}{x+1})
derivative of 3sin(θ)
derivative\:3\sin(θ)
inverse oflaplace f(s)= 2/((4s^2-8s))
inverselaplace\:f(s)=\frac{2}{(4s^{2}-8s)}
(\partial)/(\partial x)(x^{0.6}*y^{0.4})
\frac{\partial\:}{\partial\:x}(x^{0.6}\cdot\:y^{0.4})
integral of 4x(x^2+30000)^{-2/3}
\int\:4x(x^{2}+30000)^{-\frac{2}{3}}dx
integral of-2/x
\int\:-\frac{2}{x}dx
tangent of f(x)=sqrt(2x),(2,2)
tangent\:f(x)=\sqrt{2x},(2,2)
inverse oflaplace 2/(s^2(s^2-2s+5))
inverselaplace\:\frac{2}{s^{2}(s^{2}-2s+5)}
integral of xcos(x^2+4)
\int\:x\cos(x^{2}+4)dx
tangent of y= 5/(sqrt(x))
tangent\:y=\frac{5}{\sqrt{x}}
derivative of e^{2x-2}
\frac{d}{dx}(e^{2x-2})
integral of 8xe^{7x}
\int\:8xe^{7x}dx
integral of sin(wx+pi/3)sin(wx)
\int\:\sin(wx+\frac{π}{3})\sin(wx)dx
(\partial}{\partial y}(\frac{ln(xy))/y)
\frac{\partial\:}{\partial\:y}(\frac{\ln(xy)}{y})
integral of (1/((7)^2))
\int\:(\frac{1}{(7)^{2}})dt
integral from 2 to infinity of e^{-7x}
\int\:_{2}^{\infty\:}e^{-7x}dx
area y= 1/x ,y= 1/(x^2),x=2
area\:y=\frac{1}{x},y=\frac{1}{x^{2}},x=2
derivative of (x-5(x+4))
\frac{d}{dx}((x-5)(x+4))
derivative of x^3+4
derivative\:x^{3}+4
integral of 1/(nsqrt(n^2-1))
\int\:\frac{1}{n\sqrt{n^{2}-1}}dn
derivative of sqrt(cos(e^{x^5cos(x)))}
derivative\:\sqrt{\cos(e^{x^{5}\cos(x)})}
integral from 6 to 8 of (96)/((x-6)^3)
\int\:_{6}^{8}\frac{96}{(x-6)^{3}}dx
integral of e^{3x}*x
\int\:e^{3x}\cdot\:xdx
area y=sin^2(x),y=sin^3(x),0<= x<= pi
area\:y=\sin^{2}(x),y=\sin^{3}(x),0\le\:x\le\:π
[x^2+y^2]dx=xydy
[x^{2}+y^{2}]dx=xydy
derivative of-1/((x+1)^2)
derivative\:-\frac{1}{(x+1)^{2}}
integral of ((e^{sqrt(x)})/(sqrt(x)))
\int\:(\frac{e^{\sqrt{x}}}{\sqrt{x}})dx
sum from n=1 to infinity of (1^n)/(n+1)
\sum\:_{n=1}^{\infty\:}\frac{1^{n}}{n+1}
derivative of (x^2+1/((x+1)^3))
\frac{d}{dx}(\frac{x^{2}+1}{(x+1)^{3}})
(\partial)/(\partial x)(xy+2/x+4/y)
\frac{\partial\:}{\partial\:x}(xy+\frac{2}{x}+\frac{4}{y})
area e^x,e^{-4x},x=ln(4)
area\:e^{x},e^{-4x},x=\ln(4)
derivative of (x-2/(5x^2e^x))
\frac{d}{dx}(\frac{x-2}{5x^{2}e^{x}})
sum from n=1 to infinity of 1/(n^2+4n+3)
\sum\:_{n=1}^{\infty\:}\frac{1}{n^{2}+4n+3}
integral from-2 to 3 of (32)/(x^4)
\int\:_{-2}^{3}\frac{32}{x^{4}}dx
laplacetransform e^{2t}cos(t)
laplacetransform\:e^{2t}\cos(t)
laplacetransform-2sin(3t)
laplacetransform\:-2\sin(3t)
limit as x approaches pi/2 of (cos(x))/(cot(x))
\lim\:_{x\to\:\frac{π}{2}}(\frac{\cos(x)}{\cot(x)})
(\partial)/(\partial x)(xysin(xy))
\frac{\partial\:}{\partial\:x}(xy\sin(xy))
integral of (e^x)/(4+e^x)
\int\:\frac{e^{x}}{4+e^{x}}dx
d/(dt)(sqrt(t^2+1))
\frac{d}{dt}(\sqrt{t^{2}+1})
(dy)/(dt)=(t^2)/(y(1+t^3))
\frac{dy}{dt}=\frac{t^{2}}{y(1+t^{3})}
integral from 3 to 4 of x/8
\int\:_{3}^{4}\frac{x}{8}dx
(\partial)/(\partial r)(pir^2h)
\frac{\partial\:}{\partial\:r}(πr^{2}h)
derivative of (11)/(sqrt(x))
derivative\:\frac{11}{\sqrt{x}}
integral of 1/(sqrt(9-2x))
\int\:\frac{1}{\sqrt{9-2x}}dx
derivative of ln|4x|
\frac{d}{dx}(\ln\left|4x\right|)
(\partial)/(\partial y)(sin(x)+e^{xy})
\frac{\partial\:}{\partial\:y}(\sin(x)+e^{xy})
49y^{''}+112y^'+64y=0
49y^{\prime\:\prime\:}+112y^{\prime\:}+64y=0
integral of sqrt(25+x)
\int\:\sqrt{25+x}dx
derivative of e^{3x}+e^{-2x}
\frac{d}{dx}(e^{3x}+e^{-2x})
y^{''}+6y^'+15y=0
y^{\prime\:\prime\:}+6y^{\prime\:}+15y=0
integral of (3t^4-8)t^3
\int\:(3t^{4}-8)t^{3}dt
integral of e^{-4x}x^2
\int\:e^{-4x}x^{2}dx
integral of sec(x)-1/(sin(x))+cos(x)
\int\:\sec(x)-\frac{1}{\sin(x)}+\cos(x)dx
integral from 0 to infinity of 6sin^2(x)
\int\:_{0}^{\infty\:}6\sin^{2}(x)dx
limit as x approaches-1 of 2x+6
\lim\:_{x\to\:-1}(2x+6)
integral of (1/(x^{11)})
\int\:(\frac{1}{x^{11}})dx
integral of csc^3(2x+1)
\int\:\csc^{3}(2x+1)dx
slope of (2.3)(8.6)
slope\:(2.3)(8.6)
integral of (-4x^3)/(sqrt(x^2+9))
\int\:\frac{-4x^{3}}{\sqrt{x^{2}+9}}dx
derivative of ln(1+3x)
\frac{d}{dx}(\ln(1+3x))
integral of 12x^3-4x
\int\:12x^{3}-4xdx
derivative of (1+sqrt(t))(2t^2-5)
derivative\:(1+\sqrt{t})(2t^{2}-5)
derivative of f(x)=((4x^2)/(2-x))^3
derivative\:f(x)=(\frac{4x^{2}}{2-x})^{3}
slope of (11-3)/(p-1)
slope\:\frac{11-3}{p-1}
(\partial)/(\partial x)(y^{x/z})
\frac{\partial\:}{\partial\:x}(y^{\frac{x}{z}})
derivative of f(x)=(2x-sqrt(x))(5x+2)
derivative\:f(x)=(2x-\sqrt{x})(5x+2)
integral of (-2x)/((1+x^2)^2)
\int\:\frac{-2x}{(1+x^{2})^{2}}dx
xy^'+y+y^2=0
xy^{\prime\:}+y+y^{2}=0
f^'(x)=(x+1)^2*(x-2)^3*(2x+3)
f^{\prime\:}(x)=(x+1)^{2}\cdot\:(x-2)^{3}\cdot\:(2x+3)
integral of xcos(x)sin(x)
\int\:x\cos(x)\sin(x)dx
limit as x approaches 2 of ln(4-x^2)
\lim\:_{x\to\:2}(\ln(4-x^{2}))
integral of e^x+x
\int\:e^{x}+xdx
limit as x approaches 0 of 2/(x^2)
\lim\:_{x\to\:0}(\frac{2}{x^{2}})
derivative of (x+4/(7x^2e^x))
\frac{d}{dx}(\frac{x+4}{7x^{2}e^{x}})
integral of ((4+10x))/(sqrt(7+4x+5x^2))
\int\:\frac{(4+10x)}{\sqrt{7+4x+5x^{2}}}dx
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