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Popular Calculus Problems
taylor xe^{-x+1},1
taylor\:xe^{-x+1},1
derivative of x^x(ln(x)+1)
derivative\:x^{x}(\ln(x)+1)
integral of 1/(x^3sqrt(x^2-1))
\int\:\frac{1}{x^{3}\sqrt{x^{2}-1}}dx
derivative of 4cos^2(x)
derivative\:4\cos^{2}(x)
derivative of 19^x
derivative\:19^{x}
integral of 5t^2e^{(t^3)/3}
\int\:5t^{2}e^{\frac{t^{3}}{3}}dt
integral of (5x^2)/(e^x)
\int\:\frac{5x^{2}}{e^{x}}dx
(\partial)/(\partial x)(e^{-2t}cos(2x))
\frac{\partial\:}{\partial\:x}(e^{-2t}\cos(2x))
(\partial)/(\partial x)(sec(x)tan(x))
\frac{\partial\:}{\partial\:x}(\sec(x)\tan(x))
y^'=5y^{1/5}
y^{\prime\:}=5y^{\frac{1}{5}}
derivative of 3x+6/x
\frac{d}{dx}(3x+\frac{6}{x})
derivative of 1/2 sin(x)
\frac{d}{dx}(\frac{1}{2}\sin(x))
integral of (e^x-3)^4e^x
\int\:(e^{x}-3)^{4}e^{x}dx
integral from 2 to 3 of 3xsqrt(2x^2-1)
\int\:_{2}^{3}3x\sqrt{2x^{2}-1}dx
limit as x approaches 0 of (2x+1)(x-3)
\lim\:_{x\to\:0}((2x+1)(x-3))
derivative of 8/x
derivative\:\frac{8}{x}
(\partial)/(\partial x)(vx)
\frac{\partial\:}{\partial\:x}(vx)
y^'-2y=-3e^t
y^{\prime\:}-2y=-3e^{t}
limit as x approaches-3 of 8/(x+3)
\lim\:_{x\to\:-3}(\frac{8}{x+3})
integral from 0 to 2 of 1/(1+e^{2x)}
\int\:_{0}^{2}\frac{1}{1+e^{2x}}dx
limit as x approaches-infinity of-5x^3
\lim\:_{x\to\:-\infty\:}(-5x^{3})
integral of (3x^3+4x)/((x^2+5)^2)
\int\:\frac{3x^{3}+4x}{(x^{2}+5)^{2}}dx
integral of (3x^4-2x+5)/(x+1)
\int\:\frac{3x^{4}-2x+5}{x+1}dx
derivative of Ax
\frac{d}{dx}(Ax)
d/(dy)(1-xycos(piy))
\frac{d}{dy}(1-xy\cos(πy))
derivative of (x^2)/(40)
derivative\:\frac{x^{2}}{40}
xy^'=e^x-y
xy^{\prime\:}=e^{x}-y
laplacetransform f(t)= 1/20 t^5e^{2t}
laplacetransform\:f(t)=\frac{1}{20}t^{5}e^{2t}
limit as x approaches 0 of (x)^2
\lim\:_{x\to\:0}((x)^{2})
integral of 1/(6x^2+36x+78)
\int\:\frac{1}{6x^{2}+36x+78}dx
tan(x)sin(y)dx+cos(x)cot(y)dy=0
\tan(x)\sin(y)dx+\cos(x)\cot(y)dy=0
integral of (2x^2-x+4)/(x(x^2+4))
\int\:\frac{2x^{2}-x+4}{x(x^{2}+4)}dx
y^{''}-2y^'+y=te^t,y(0)=1,y^'(0)=1
y^{\prime\:\prime\:}-2y^{\prime\:}+y=te^{t},y(0)=1,y^{\prime\:}(0)=1
integral of (20)/x
\int\:\frac{20}{x}dx
limit as x approaches 0 of 5+2e^{(-5)/x}
\lim\:_{x\to\:0}(5+2e^{\frac{-5}{x}})
integral of cos^2(wx)
\int\:\cos^{2}(wx)dx
tangent of f(x)=3sec(x),\at x= pi/6
tangent\:f(x)=3\sec(x),\at\:x=\frac{π}{6}
integral of 1/(7x-1)
\int\:\frac{1}{7x-1}dx
limit as x approaches 0 of (sin(x/4))/x
\lim\:_{x\to\:0}(\frac{\sin(\frac{x}{4})}{x})
integral of cos^3(x)tan^2(x)
\int\:\cos^{3}(x)\tan^{2}(x)dx
derivative of y=(3\sqrt[3]{x})/(1-x)
\frac{d}{dx}y=\frac{3\sqrt[3]{x}}{1-x}
tangent of f(x)= 4/(1+x^2),\at x=1
tangent\:f(x)=\frac{4}{1+x^{2}},\at\:x=1
limit as x approaches pi/2-of e^{sec(x)}
\lim\:_{x\to\:\frac{π}{2}-}(e^{\sec(x)})
integral of (esqrt(t))/(sqrt(t))
\int\:\frac{e\sqrt{t}}{\sqrt{t}}dt
integral of (x^2)/(4+x^2)
\int\:\frac{x^{2}}{4+x^{2}}dx
(\partial)/(\partial x)(ycos(pix^2y))
\frac{\partial\:}{\partial\:x}(y\cos(πx^{2}y))
f(x)=cos(e^x)
f(x)=\cos(e^{x})
limit as x approaches-2 of 3/2
\lim\:_{x\to\:-2}(\frac{3}{2})
(dy}{dx}=0.1ln(\frac{3000)/y)y
\frac{dy}{dx}=0.1\ln(\frac{3000}{y})y
(\partial)/(\partial x)(2x^2*4x^3)
\frac{\partial\:}{\partial\:x}(2x^{2}\cdot\:4x^{3})
integral from-1 to 1 of sqrt(x^2+1)
\int\:_{-1}^{1}\sqrt{x^{2}+1}dx
(sin(t))y^'+(cos(t))y=3t(sin(t))
(\sin(t))y^{\prime\:}+(\cos(t))y=3t(\sin(t))
derivative of f(x)=(4x+2)/(4x-2)
derivative\:f(x)=\frac{4x+2}{4x-2}
derivative of arctan(t)
derivative\:\arctan(t)
limit as x approaches-1 of (x+2)^2
\lim\:_{x\to\:-1}((x+2)^{2})
derivative of sin^2(x)cos^2(x)
derivative\:\sin^{2}(x)\cos^{2}(x)
integral of xe^3x
\int\:xe^{3}xdx
derivative of f(x)=(8x+9)(x^3-6)
derivative\:f(x)=(8x+9)(x^{3}-6)
derivative of-64cos(2x)
derivative\:-64\cos(2x)
derivative of 3x(2x-1)^3
derivative\:3x(2x-1)^{3}
derivative of 1-sec(x)
\frac{d}{dx}(1-\sec(x))
integral of (x^{1.5}+9x^{3.5})
\int\:(x^{1.5}+9x^{3.5})dx
(7x+2y)(dy)/(dx)=-2x-7y
(7x+2y)\frac{dy}{dx}=-2x-7y
limit as x approaches 2+of (x+4)/(x-2)
\lim\:_{x\to\:2+}(\frac{x+4}{x-2})
limit as x approaches 0 of (7x)/(|x|)
\lim\:_{x\to\:0}(\frac{7x}{\left|x\right|})
limit as x approaches 1-of ln(x^2-1)
\lim\:_{x\to\:1-}(\ln(x^{2}-1))
limit as x approaches 6+of 7/(x-6)
\lim\:_{x\to\:6+}(\frac{7}{x-6})
integral from 0 to 7 of 2t^2-20t+48
\int\:_{0}^{7}2t^{2}-20t+48dt
integral of tan^3(15pix)
\int\:\tan^{3}(15πx)dx
integral from 1 to 4 of 4/x-(16)/(x^2)
\int\:_{1}^{4}\frac{4}{x}-\frac{16}{x^{2}}dx
integral of cos(x/a)sin(x/a)
\int\:\cos(\frac{x}{a})\sin(\frac{x}{a})dx
derivative of (2^x/(1-x^2))
\frac{d}{dx}(\frac{2^{x}}{1-x^{2}})
integral of 1/(x+!)
\int\:\frac{1}{x+!}dx
derivative of (2x-1(3x+4)(x+7))
\frac{d}{dx}((2x-1)(3x+4)(x+7))
derivative of (y^2-3x^2/(y^4))
\frac{d}{dx}(\frac{y^{2}-3x^{2}}{y^{4}})
(\partial)/(\partial x)(+6-5+6x)
\frac{\partial\:}{\partial\:x}(+6-5+6x)
sum from n=0 to infinity of 2/(7^n)
\sum\:_{n=0}^{\infty\:}\frac{2}{7^{n}}
limit as x approaches 2-of arcsin(x-1)
\lim\:_{x\to\:2-}(\arcsin(x-1))
limit as x approaches pi of 1/(x-pi)
\lim\:_{x\to\:π}(\frac{1}{x-π})
integral of 1/(\sqrt[5]{x^2)}
\int\:\frac{1}{\sqrt[5]{x^{2}}}dx
derivative of f(x)=(6x+1)^2
derivative\:f(x)=(6x+1)^{2}
derivative of sqrt(ln(8x))
\frac{d}{dx}(\sqrt{\ln(8x)})
2*x*y*y^'=-(x^2+y^2)
2\cdot\:x\cdot\:y\cdot\:y^{\prime\:}=-(x^{2}+y^{2})
derivative of (x^2/((x^2+5)^3))
\frac{d}{dx}(\frac{x^{2}}{(x^{2}+5)^{3}})
tangent of 9y^7+4x^3=8y+5x,(1,1)
tangent\:9y^{7}+4x^{3}=8y+5x,(1,1)
(\partial)/(\partial x)(cos^5(x^7y^5))
\frac{\partial\:}{\partial\:x}(\cos^{5}(x^{7}y^{5}))
xy^'+(1-x)y=0
xy^{\prime\:}+(1-x)y=0
(dN)/(dt)=N(1-0.0005N)
\frac{dN}{dt}=N(1-0.0005N)
x(dy)/(dx)+y=(xy)^{3/2}
x\frac{dy}{dx}+y=(xy)^{\frac{3}{2}}
derivative of sqrt(y-x)n(y+x)
\frac{d}{dx}(\sqrt{y-x}n(y+x))
(\partial)/(\partial y)(x-y-1)
\frac{\partial\:}{\partial\:y}(x-y-1)
limit as x approaches 0 of e^{-x}cos(x)
\lim\:_{x\to\:0}(e^{-x}\cos(x))
(d^2)/(dx^2)(sec(x))
\frac{d^{2}}{dx^{2}}(\sec(x))
limit as e^{e^x} approaches 0+of (e^{e^x-2})/(e^{e^x)}
\lim\:_{e^{e^{x}}\to\:0+}(\frac{e^{e^{x}-2}}{e^{e^{x}}})
derivative of (x-1)(x^2-8x+7)
derivative\:(x-1)(x^{2}-8x+7)
derivative of sin^2(x+x)
\frac{d}{dx}(\sin^{2}(x)+x)
derivative of 5x^3cos(x)
\frac{d}{dx}(5x^{3}\cos(x))
(\partial)/(\partial x)(sqrt(yx))
\frac{\partial\:}{\partial\:x}(\sqrt{yx})
(\partial)/(\partial x)(3y)
\frac{\partial\:}{\partial\:x}(3y)
integral of 9/x
\int\:\frac{9}{x}dx
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