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Popular Calculus Problems

tangent of f(x)=x^3-4x^2-9x+11	tangent\:f(x)=x^{3}-4x^{2}-9x+11
integral from-infinity to infinity of x^2e^{(-x^2)/2}	\int\:_{-\infty\:}^{\infty\:}x^{2}e^{\frac{-x^{2}}{2}}dx
implicit (dy)/(dx),xy+4e^y=4e	implicit\:\frac{dy}{dx},xy+4e^{y}=4e
integral of (5-e^x)/(e^{6x)}	\int\:\frac{5-e^{x}}{e^{6x}}dx
integral of x^2(x^3+5)^{10}	\int\:x^{2}(x^{3}+5)^{10}dx
y^{''}+2y^'+y=3-e^{-t}	y^{\prime\:\prime\:}+2y^{\prime\:}+y=3-e^{-t}
derivative of sec^2(x+tan^2(x))	\frac{d}{dx}(\sec^{2}(x)+\tan^{2}(x))
integral of cos^8(x)	\int\:\cos^{8}(x)dx
slope of (6.4)(2.7)	slope\:(6.4)(2.7)
derivative of (x^{-2}+x^{-3})(x^5-2x^2)	derivative\:(x^{-2}+x^{-3})(x^{5}-2x^{2})
limit as x approaches-1 of x^2+6	\lim\:_{x\to\:-1}(x^{2}+6)
derivative of f(x)=5x+9	derivative\:f(x)=5x+9
y^3-(14x+6)+3xy^2y^'=0	y^{3}-(14x+6)+3xy^{2}y^{\prime\:}=0
integral from 0 to 1 of 3^{4x}	\int\:_{0}^{1}3^{4x}dx
integral from 0 to 3 of x^2+6x+9	\int\:_{0}^{3}x^{2}+6x+9dx
integral of ((2x^2+6))/((x^2-2x+2)^2)	\int\:\frac{(2x^{2}+6)}{(x^{2}-2x+2)^{2}}dx
slope ofintercept (8.7)(0.3)	slopeintercept\:(8.7)(0.3)
integral of 2/(sqrt(25-100x^2))	\int\:\frac{2}{\sqrt{25-100x^{2}}}dx
derivative of y=(arctan(2x))/x	derivative\:y=\frac{\arctan(2x)}{x}
(\partial)/(\partial x)((x^2+y^2)/(z^2))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}+y^{2}}{z^{2}})
integral from 2 to 3 of (2x)/((x^2+1)^3)	\int\:_{2}^{3}\frac{2x}{(x^{2}+1)^{3}}dx
limit as h approaches 0 of-2x-h+8	\lim\:_{h\to\:0}(-2x-h+8)
limit as x approaches 1 of (x+1)/(x^3-1)	\lim\:_{x\to\:1}(\frac{x+1}{x^{3}-1})
sum from n=5 to infinity of 2/((n^2-1))	\sum\:_{n=5}^{\infty\:}\frac{2}{(n^{2}-1)}
(dP)/(dt)=P-P^2	\frac{dP}{dt}=P-P^{2}
(dy)/(dx)= 3/(x^2y-8y)	\frac{dy}{dx}=\frac{3}{x^{2}y-8y}
(\partial)/(\partial x)(sqrt(R(x)^2+x^2)-x)	\frac{\partial\:}{\partial\:x}(\sqrt{R(x)^{2}+x^{2}}-x)
derivative of f(0)=(x^4+3x)(4x^5+4x-2)	derivative\:f(0)=(x^{4}+3x)(4x^{5}+4x-2)
derivative of-2/(x^2)	derivative\:-\frac{2}{x^{2}}
derivative of y=ln((x-3)/(x+3))	derivative\:y=\ln(\frac{x-3}{x+3})
integral of (y^5-5y)	\int\:(y^{5}-5y)dy
taylor e^{sin(x)}	taylor\:e^{\sin(x)}
tangent of f(x)=x^3+3x-2,\at x=3	tangent\:f(x)=x^{3}+3x-2,\at\:x=3
integral of (x^{1.7}+9x^{3.5})	\int\:(x^{1.7}+9x^{3.5})dx
derivative of sqrt(4+x^2)	\frac{d}{dx}(\sqrt{4+x^{2}})
tangent of y=(1+5x)^9,(0,1)	tangent\:y=(1+5x)^{9},(0,1)
y^2y^'+5=x^2	y^{2}y^{\prime\:}+5=x^{2}
integral of (7x-5)/(x^2+16)	\int\:\frac{7x-5}{x^{2}+16}dx
tangent of f(x)=6-x^2,\at x=7	tangent\:f(x)=6-x^{2},\at\:x=7
integral of 1/(tan(x)-1)	\int\:\frac{1}{\tan(x)-1}dx
integral from-5 to 6 of x	\int\:_{-5}^{6}xdx
derivative of f(x)=(x^2-1)(1-e^x)	derivative\:f(x)=(x^{2}-1)(1-e^{x})
integral of 4sin^2(xco)s^3x	\int\:4\sin^{2}(xco)s^{3}xdx
integral of sqrt(17)	\int\:\sqrt{17}dx
integral from-6 to 0 of (2+sqrt(36-x^2))	\int\:_{-6}^{0}(2+\sqrt{36-x^{2}})dx
(\partial)/(\partial y)(x^2y^2z)	\frac{\partial\:}{\partial\:y}(x^{2}y^{2}z)
y^'+6y=t+e^{-5t}	y^{\prime\:}+6y=t+e^{-5t}
integral of sin^4(x)*cos^4(x)	\int\:\sin^{4}(x)\cdot\:\cos^{4}(x)dx
integral of (sec^2(ln(x)))/(2x)	\int\:\frac{\sec^{2}(\ln(x))}{2x}dx
limit as x approaches 1 of 3x	\lim\:_{x\to\:1}(3x)
(dx)/(dt)+5x=cos(2t)	\frac{dx}{dt}+5x=\cos(2t)
integral of 1/(36e^{-6x)+e^{6x}}	\int\:\frac{1}{36e^{-6x}+e^{6x}}dx
derivative of 2/(2x-3)	derivative\:\frac{2}{2x-3}
integral of cos(x)sin(kx)	\int\:\cos(x)\sin(kx)dx
derivative of 0.0588s^{1.125}	derivative\:0.0588s^{1.125}
integral from 0 to 1/2 of 4cos(pix)	\int\:_{0}^{\frac{1}{2}}4\cos(πx)dx
integral of x*1/(x^2)	\int\:x\cdot\:\frac{1}{x^{2}}dx
limit as x approaches-3 of-2x^3	\lim\:_{x\to\:-3}(-2x^{3})
tangent of f(x)=sqrt(x+2),\at x=-1	tangent\:f(x)=\sqrt{x+2},\at\:x=-1
limit as x approaches 1+of x^2-3	\lim\:_{x\to\:1+}(x^{2}-3)
derivative of-6e^{5x}	\frac{d}{dx}(-6e^{5x})
integral of (ln(4x))	\int\:(\ln(4x))dx
integral of tan^8(x)sec^6(x)	\int\:\tan^{8}(x)\sec^{6}(x)dx
d/(dt)(1+sqrt(t))	\frac{d}{dt}(1+\sqrt{t})
derivative of (ax^2+bx+c*e^{(-x)/4})	\frac{d}{dx}((ax^{2}+bx+c)\cdot\:e^{\frac{-x}{4}})
integral of sin^{10}(θ)cos^3(θ)	\int\:\sin^{10}(θ)\cos^{3}(θ)dθ
integral of ((sqrt(x)-2)^2)/(x^3)	\int\:\frac{(\sqrt{x}-2)^{2}}{x^{3}}dx
integral of 1/((5x-2)^{2/3)}	\int\:\frac{1}{(5x-2)^{\frac{2}{3}}}dx
derivative of x^4-2x^2-3	\frac{d}{dx}(x^{4}-2x^{2}-3)
integral of (x+7)/(x^2+25)	\int\:\frac{x+7}{x^{2}+25}dx
integral of xcos(3x^2)	\int\:x\cos(3x^{2})dx
limit as x approaches 0 of (1+x)/x	\lim\:_{x\to\:0}(\frac{1+x}{x})
derivative of y=(5x^2+x)(x-x^2)	derivative\:y=(5x^{2}+x)(x-x^{2})
area y=-x^2+2x+6,y=-x+6	area\:y=-x^{2}+2x+6,y=-x+6
integral of x^2+sin(x)+1	\int\:x^{2}+\sin(x)+1dx
limit as x approaches-infinity of (8x^3)/(9x^4)	\lim\:_{x\to\:-\infty\:}(\frac{8x^{3}}{9x^{4}})
integral of-cos(x)2x	\int\:-\cos(x)2xdx
simplify x^2+(16)/x	simplify\:x^{2}+\frac{16}{x}
derivative of (x-5/(3x-4))	\frac{d}{dx}(\frac{x-5}{3x-4})
derivative of-(ln(2)/(x(x+ln(2))))	\frac{d}{dx}(-\frac{\ln(2)}{x(x+\ln(2))})
(dx)/(dy)=-x^2+7x-8	\frac{dx}{dy}=-x^{2}+7x-8
integral of (x^4-2x^2+3)/(x^2)	\int\:\frac{x^{4}-2x^{2}+3}{x^{2}}dx
integral of sqrt(x+4y)	\int\:\sqrt{x+4y}dx
sum from n=1 to infinity of (n^n)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{n^{n}}{n!}
4(dy)/(dx)+28y=7	4\frac{dy}{dx}+28y=7
integral of 4cos^3(2x)	\int\:4\cos^{3}(2x)dx
(x^{ln(x)})^'	(x^{\ln(x)})^{\prime\:}
inverse oflaplace ((s+3))/((s^2))	inverselaplace\:\frac{(s+3)}{(s^{2})}
integral of cos(x)tan(x)	\int\:\cos(x)\tan(x)dx
integral from 0 to pi/3 of xtan^2(x)	\int\:_{0}^{\frac{π}{3}}x\tan^{2}(x)dx
derivative of ln((1+x/(1-x)))	\frac{d}{dx}(\ln(\frac{1+x}{1-x}))
tangent of 5x+4cos(x)	tangent\:5x+4\cos(x)
derivative of y=5e^{4x}cos(5x)	derivative\:y=5e^{4x}\cos(5x)
inverse oflaplace s/((s^2+4)^2)	inverselaplace\:\frac{s}{(s^{2}+4)^{2}}
tangent of f(x)=6sin(x)+4cos(x),\at x=0	tangent\:f(x)=6\sin(x)+4\cos(x),\at\:x=0
integral of ((arctan(x))^7)/(1+x^2)	\int\:\frac{(\arctan(x))^{7}}{1+x^{2}}dx
limit as x approaches 1 of (1-x)/(x-1)	\lim\:_{x\to\:1}(\frac{1-x}{x-1})
derivative of f(x)=5x^4e^x+e^xx^5	derivative\:f(x)=5x^{4}e^{x}+e^{x}x^{5}
taylor 4+x^2+4x^4,-3	taylor\:4+x^{2}+4x^{4},-3
f(t)=sin(4t)	f(t)=\sin(4t)

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