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Popular Calculus Problems
integral of (2^x)/(ln(2))
\int\:\frac{2^{x}}{\ln(2)}dx
integral of (3/x+2/(x^3))
\int\:(\frac{3}{x}+\frac{2}{x^{3}})dx
integral of 1/((x)^2)
\int\:\frac{1}{(x)^{2}}dx
integral of xsqrt(3-x^2)
\int\:x\sqrt{3-x^{2}}dx
limit as x approaches infinity of pi^{infinity}
\lim\:_{x\to\:\infty\:}(π^{\infty\:})
integral of (sqrt(x)+3)^2
\int\:(\sqrt{x}+3)^{2}dx
derivative of 2x^3+3x^2-12x+6
derivative\:2x^{3}+3x^{2}-12x+6
derivative of (5x(5x+1))
\frac{d}{dx}((5x)(5x+1))
integral of e^k
\int\:e^{k}dk
y^{''}+5y^'+4y=10e^{-3x}
y^{\prime\:\prime\:}+5y^{\prime\:}+4y=10e^{-3x}
integral from 0 to ln(23) of xe^x
\int\:_{0}^{\ln(23)}xe^{x}dx
integral of 2xsqrt(1+x^2)
\int\:2x\sqrt{1+x^{2}}dx
integral of 8x^3
\int\:8x^{3}dx
derivative of 1/((x^4+5^5))
\frac{d}{dx}(\frac{1}{(x^{4}+5)^{5}})
integral of x^2cos(6x)
\int\:x^{2}\cos(6x)dx
integral of sqrt(5-4x)
\int\:\sqrt{5-4x}dx
(\partial)/(\partial x)((x^2+x-y)^7)
\frac{\partial\:}{\partial\:x}((x^{2}+x-y)^{7})
derivative of x^3+7x
\frac{d}{dx}(x^{3}+7x)
integral from 0 to 1 of 1/(sqrt(1+x^2))
\int\:_{0}^{1}\frac{1}{\sqrt{1+x^{2}}}dx
integral of e^{1-3x}
\int\:e^{1-3x}dx
limit as x approaches infinity of x^1
\lim\:_{x\to\:\infty\:}(x^{1})
y^{''}+2y=ex+x^3
y^{\prime\:\prime\:}+2y=ex+x^{3}
derivative of 7e^x+4/(\sqrt[3]{x})
\frac{d}{dx}(7e^{x}+\frac{4}{\sqrt[3]{x}})
integral of 3x^2+3
\int\:3x^{2}+3dx
limit as x approaches 9+of 1/(x-9)
\lim\:_{x\to\:9+}(\frac{1}{x-9})
tangent of y=x^4,(-1,1)
tangent\:y=x^{4},(-1,1)
derivative of \sqrt[5]{t}+\sqrt[6]{t^5}
derivative\:\sqrt[5]{t}+\sqrt[6]{t^{5}}
limit as x approaches 2-of xsqrt(4-x^2)
\lim\:_{x\to\:2-}(x\sqrt{4-x^{2}})
derivative of 8xe^{6x}
\frac{d}{dx}(8xe^{6x})
derivative of (3x^2-9x+1/(7x+8))
\frac{d}{dx}(\frac{3x^{2}-9x+1}{7x+8})
integral of (18-18x)/(1-sqrt(x))
\int\:\frac{18-18x}{1-\sqrt{x}}dx
y^{''}-2*y^'+10*y=0
y^{\prime\:\prime\:}-2\cdot\:y^{\prime\:}+10\cdot\:y=0
derivative of e^{-x/(10}-cos(x))
\frac{d}{dx}(e^{-\frac{x}{10}}-\cos(x))
tangent of f(x)=x^4-10x^2+9,\at x=-2
tangent\:f(x)=x^{4}-10x^{2}+9,\at\:x=-2
limit as x approaches 0+of (5x)^{2x}
\lim\:_{x\to\:0+}((5x)^{2x})
f(x)=x^2+x+4
f(x)=x^{2}+x+4
(\partial)/(\partial u)(2u+v)
\frac{\partial\:}{\partial\:u}(2u+v)
integral of 5x^3\sqrt[3]{(2x^4-4)^2}
\int\:5x^{3}\sqrt[3]{(2x^{4}-4)^{2}}dx
(\partial)/(\partial x)(tan(xy))
\frac{\partial\:}{\partial\:x}(\tan(xy))
derivative of y=e^{tan(x)}
derivative\:y=e^{\tan(x)}
limit as x approaches 0 of (cos(x))/(96)
\lim\:_{x\to\:0}(\frac{\cos(x)}{96})
(dy)/(dt)+0.3ty=9t
\frac{dy}{dt}+0.3ty=9t
laplacetransform 6t-3
laplacetransform\:6t-3
integral from 1 to 1000 of 9/(x^3)
\int\:_{1}^{1000}\frac{9}{x^{3}}dx
laplacetransform t^2+e^{-2t}sin(3t)
laplacetransform\:t^{2}+e^{-2t}\sin(3t)
limit as x approaches-1 of 3x^3+2x^2+3
\lim\:_{x\to\:-1}(3x^{3}+2x^{2}+3)
limit as x approaches 0+of e^{(1/x)}
\lim\:_{x\to\:0+}(e^{(\frac{1}{x})})
derivative of (y^2-2)/(2y^2)
derivative\:\frac{y^{2}-2}{2y^{2}}
integral of (x^3-2x^2+1)/(x-3)
\int\:\frac{x^{3}-2x^{2}+1}{x-3}dx
integral from 1 to 2 of ((ln(x))^2)/x
\int\:_{1}^{2}\frac{(\ln(x))^{2}}{x}dx
integral from 0 to infinity of u(t)
\int\:_{0}^{\infty\:}u(t)dt
limit as x approaches infinity of x*1
\lim\:_{x\to\:\infty\:}(x\cdot\:1)
derivative of 3^{e^x}
derivative\:3^{e^{x}}
integral of te^{-st}
\int\:te^{-st}dt
area 17/4-1/x ,x, 1/4 ,4
area\:\frac{17}{4}-\frac{1}{x},x,\frac{1}{4},4
integral of 4/(xsqrt(16-(ln(x))^2))
\int\:\frac{4}{x\sqrt{16-(\ln(x))^{2}}}dx
(\partial)/(\partial x)(y^{9x})
\frac{\partial\:}{\partial\:x}(y^{9x})
integral of e^{5x+7}
\int\:e^{5x+7}dx
integral of cos^5(3x)
\int\:\cos^{5}(3x)dx
limit as x approaches 0+of (x+97)/x
\lim\:_{x\to\:0+}(\frac{x+97}{x})
d/(dw)(lw)
\frac{d}{dw}(lw)
integral of x^5+1/(x^7)
\int\:x^{5}+\frac{1}{x^{7}}dx
laplacetransform sin(100t+30)
laplacetransform\:\sin(100t+30)
derivative of f(x)=sqrt(2x-7)
\frac{d}{dx}f(x)=\sqrt{2x-7}
(\partial)/(\partial u)(sin(v)cos(u))
\frac{\partial\:}{\partial\:u}(\sin(v)\cos(u))
inverse oflaplace 1/(s^4+s^3)
inverselaplace\:\frac{1}{s^{4}+s^{3}}
limit as x approaches-infinity of (8x^2+7x^{1/3})/(sqrt(16x^4+6))
\lim\:_{x\to\:-\infty\:}(\frac{8x^{2}+7x^{\frac{1}{3}}}{\sqrt{16x^{4}+6}})
integral from 0 to 1 of x^2\sqrt[3]{e^x}
\int\:_{0}^{1}x^{2}\sqrt[3]{e^{x}}dx
(cos(t))^'
(\cos(t))^{\prime\:}
derivative of (xe^{2x}+x^3^6)
\frac{d}{dx}((xe^{2x}+x^{3})^{6})
integral of 1/(2x-x^2)
\int\:\frac{1}{2x-x^{2}}dx
integral from-1 to 0 of (x^3-x^2-2x)
\int\:_{-1}^{0}(x^{3}-x^{2}-2x)dx
derivative of (x-1\sqrt[3]{(x-1)/(x+1)})
\frac{d}{dx}((x-1)\sqrt[3]{\frac{x-1}{x+1}})
derivative of f(x)=-3sin(3x)
derivative\:f(x)=-3\sin(3x)
integral of 1/(7x^2-8)
\int\:\frac{1}{7x^{2}-8}dx
limit as x approaches-3 of-x^2+8x-9
\lim\:_{x\to\:-3}(-x^{2}+8x-9)
integral of 1/(x^2)sin(pi/x)
\int\:\frac{1}{x^{2}}\sin(\frac{π}{x})dx
derivative of 9xe^{2x}
\frac{d}{dx}(9xe^{2x})
tangent of y=x^2-2x-2,(2,-2)
tangent\:y=x^{2}-2x-2,(2,-2)
inverse oflaplace 1/(s^2-6s+9)
inverselaplace\:\frac{1}{s^{2}-6s+9}
integral of 22arctan(sqrt(x))
\int\:22\arctan(\sqrt{x})dx
taylor cos(x-7x)
taylor\:\cos(x-7x)
sum from n=0 to infinity of 6^nx^n
\sum\:_{n=0}^{\infty\:}6^{n}x^{n}
sum from n=1 to infinity of 4/n
\sum\:_{n=1}^{\infty\:}\frac{4}{n}
integral of 3/(sqrt(2x-1))
\int\:\frac{3}{\sqrt{2x-1}}dx
y^'-10^{-3}y=220cos(50x)
y^{\prime\:}-10^{-3}y=220\cos(50x)
dy-kydx=0
dy-kydx=0
limit as x approaches 1 of (2x+1)/(x-1)
\lim\:_{x\to\:1}(\frac{2x+1}{x-1})
sum from n=7 to infinity of (6/7)^{-n}
\sum\:_{n=7}^{\infty\:}(\frac{6}{7})^{-n}
derivative of y=x^6
derivative\:y=x^{6}
area (5sqrt(x))/2 ,-1/2 x+3,[0,1]
area\:\frac{5\sqrt{x}}{2},-\frac{1}{2}x+3,[0,1]
inverse oflaplace ((2s+2))/(s+10)
inverselaplace\:\frac{(2s+2)}{s+10}
integral of 1/(4u^2+23)
\int\:\frac{1}{4u^{2}+23}du
derivative of (2+xsqrt(x))
\frac{d}{dx}((2+x)\sqrt{x})
tangent of f(x)=x^2+9,(-5,34)
tangent\:f(x)=x^{2}+9,(-5,34)
derivative of 4x\sqrt[3]{x}
\frac{d}{dx}(4x\sqrt[3]{x})
integral of sqrt(1-e^{2x)}
\int\:\sqrt{1-e^{2x}}dx
area 1-x^2,4-4x
area\:1-x^{2},4-4x
integral of (3x+5)^4
\int\:(3x+5)^{4}dx
derivative of (x^3+2/3)
\frac{d}{dx}(\frac{x^{3}+2}{3})
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