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Popular Calculus Problems

derivative of 6x(x^2-1^2)	\frac{d}{dx}(6x(x^{2}-1)^{2})
integral from 0 to 1 of 1/(sqrt(16-x^2))	\int\:_{0}^{1}\frac{1}{\sqrt{16-x^{2}}}dx
integral of (4xln(sqrt(1+x^2)))/(1+x^2)	\int\:\frac{4x\ln(\sqrt{1+x^{2}})}{1+x^{2}}dx
ydx+sqrt(x^2+1)dy=0	ydx+\sqrt{x^{2}+1}dy=0
integral of xsqrt(x-18)	\int\:x\sqrt{x-18}dx
derivative of 4e^{-2x^2}	\frac{d}{dx}(4e^{-2x^{2}})
slope of (-2.2)(2.3)	slope\:(-2.2)(2.3)
derivative of (cos(x))/(x^3)	derivative\:\frac{\cos(x)}{x^{3}}
integral from 0 to 1 of ysqrt(3y+1)	\int\:_{0}^{1}y\sqrt{3y+1}dy
derivative of (5-3x^2)	\frac{d}{dx}((5-3x)^{2})
integral of 1/((1+x)^{3/4)}	\int\:\frac{1}{(1+x)^{\frac{3}{4}}}dx
integral of (x^2-x+42)/(x^3+7x)	\int\:\frac{x^{2}-x+42}{x^{3}+7x}dx
derivative of y=x^{1/2}	derivative\:y=x^{\frac{1}{2}}
tangent of f(x)=sqrt(2x+5),\at x=2	tangent\:f(x)=\sqrt{2x+5},\at\:x=2
sum from n=0 to infinity of (100^n)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{100^{n}}{n!}
inverse oflaplace (1-2s)/(s^2+4s+5)	inverselaplace\:\frac{1-2s}{s^{2}+4s+5}
derivative of 2sin(8xcos(x))	\frac{d}{dx}(2\sin(8x)\cos(x))
derivative of ((x^3/(x^4-2x))^3)	\frac{d}{dx}((\frac{x^{3}}{x^{4}-2x})^{3})
integral of (2x+1)^{1/2}	\int\:(2x+1)^{\frac{1}{2}}dx
limit as x approaches pi of ((x^{10}-pi^{10}))/(x-pi)	\lim\:_{x\to\:π}(\frac{(x^{10}-π^{10})}{x-π})
integral of xsqrt(5-x)	\int\:x\sqrt{5-x}dx
derivative of f(x)=ln(4^x+8^x)	derivative\:f(x)=\ln(4^{x}+8^{x})
integral of 12(2x+7)(x+1)^2	\int\:12\cdot\:(2x+7)\cdot\:(x+1)^{2}dx
limit as x approaches 0+of x^4ln(x)	\lim\:_{x\to\:0+}(x^{4}\ln(x))
derivative of-2^{-x}	\frac{d}{dx}(-2^{-x})
maclaurin 6cos(4pix)	maclaurin\:6\cos(4πx)
(dy)/(dx)+3x^2y=9x^2	\frac{dy}{dx}+3x^{2}y=9x^{2}
derivative of 7sin^3(x)	\frac{d}{dx}(7\sin^{3}(x))
derivative of-1/(x^2(sec^2(y)))	derivative\:-\frac{1}{x^{2}(\sec^{2}(y))}
integral of ((e^{2x}+1))/(e^{2x)-1}	\int\:\frac{(e^{2x}+1)}{e^{2x}-1}dx
derivative of f(x)=951+10sqrt(x)	derivative\:f(x)=951+10\sqrt{x}
integral of 1/(sqrt(4-2x-x^2))	\int\:\frac{1}{\sqrt{4-2x-x^{2}}}dx
derivative of (5x+3/(3e^x))	\frac{d}{dx}(\frac{5x+3}{3e^{x}})
area y=e^{3x},y=e^{7x},x=1	area\:y=e^{3x},y=e^{7x},x=1
integral of e^{2x-3}	\int\:e^{2x-3}dx
(dy)/(dx)+y/x = 3/y	\frac{dy}{dx}+\frac{y}{x}=\frac{3}{y}
derivative of e^x(x-2^2)	\frac{d}{dx}(e^{x}(x-2)^{2})
derivative of y=ln(sqrt(a-1))	derivative\:y=\ln(\sqrt{a-1})
integral of (x^2+6x+6)/(x^3+9x^2+18x+7)	\int\:\frac{x^{2}+6x+6}{x^{3}+9x^{2}+18x+7}dx
derivative of (54/((3x+1)^4))	\frac{d}{dx}(\frac{54}{(3x+1)^{4}})
x^2y^'+2xy=9cos^2(x)	x^{2}y^{\prime\:}+2xy=9\cos^{2}(x)
(\partial)/(\partial t)(x^2sin(3t))	\frac{\partial\:}{\partial\:t}(x^{2}\sin(3t))
derivative of ((x^2-1)/(2x-3))	\frac{d}{dx}(\frac{(x^{2}-1)}{2x-3})
limit as x approaches 1+of \|x\|	\lim\:_{x\to\:1+}(\left\|x\right\|)
derivative of x(2x-3)^{1/2}	derivative\:x(2x-3)^{\frac{1}{2}}
area y= 3/2 ,y= 1/(sqrt(1-x^2))	area\:y=\frac{3}{2},y=\frac{1}{\sqrt{1-x^{2}}}
derivative of ln((e^{2x}(x^2+3))/(sqrt(x+2)))	derivative\:\ln(\frac{e^{2x}(x^{2}+3)}{\sqrt{x+2}})
derivative of-x^2+3x-2	derivative\:-x^{2}+3x-2
derivative of xe^{-bx}	\frac{d}{dx}(xe^{-bx})
integral of (5t^2+3t)	\int\:(5t^{2}+3t)dt
derivative of sqrt(sec(x))	\frac{d}{dx}(\sqrt{\sec(x)})
area sqrt(6x+7),x,0,8	area\:\sqrt{6x+7},x,0,8
derivative of y=4\sqrt[5]{x^2}-3	derivative\:y=4\sqrt[5]{x^{2}}-3
integral of 1/((sqrt(4x^2-9))^3)	\int\:\frac{1}{(\sqrt{4x^{2}-9})^{3}}dx
y^'=42+20x+42y+28xy	y^{\prime\:}=42+20x+42y+28xy
integral of-x^2*sin(x)	\int\:-x^{2}\cdot\:\sin(x)dx
integral of 2x^{-2}+1/(sqrt(x))	\int\:2x^{-2}+\frac{1}{\sqrt{x}}dx
integral from 0 to 1/2 of 1arccos(x)	\int\:_{0}^{\frac{1}{2}}1\arccos(x)dx
taylor e^z	taylor\:e^{z}
x(dy)/(dx)-y=x^2sin(x)	x\frac{dy}{dx}-y=x^{2}\sin(x)
derivative of y=(sqrt(x))/(5+x)	derivative\:y=\frac{\sqrt{x}}{5+x}
integral from-1 to 1 of 7^x	\int\:_{-1}^{1}7^{x}dx
limit as x approaches-1 of x/(x+1)	\lim\:_{x\to\:-1}(\frac{x}{x+1})
derivative of (ln(3)^x)	\frac{d}{dx}((\ln(3))^{x})
tangent of x^4-5x^2+4,\at x=1	tangent\:x^{4}-5x^{2}+4,\at\:x=1
(dy)/(dt)=2y-y^2	\frac{dy}{dt}=2y-y^{2}
integral of 1-sin(2x)	\int\:1-\sin(2x)dx
area x, 1/(18x^2), x/(16)	area\:x,\frac{1}{18x^{2}},\frac{x}{16}
(dy)/(dx)=60yx^{14}	\frac{dy}{dx}=60yx^{14}
integral of (40)/(1-cos(5x))	\int\:\frac{40}{1-\cos(5x)}dx
integral of 1/(7xlog_{7)(x)}	\int\:\frac{1}{7x\log_{7}(x)}dx
inverse oflaplace 5/(2(2x+3)^2)	inverselaplace\:\frac{5}{2(2x+3)^{2}}
derivative of e^xsin(10x)	derivative\:e^{x}\sin(10x)
derivative of (-x^2+9x-16/x)	\frac{d}{dx}(\frac{-x^{2}+9x-16}{x})
integral of (sqrt(9-w^2))/(w^2)	\int\:\frac{\sqrt{9-w^{2}}}{w^{2}}dw
d/(dy)(0)	\frac{d}{dy}(0)
derivative of tan(x-e^{-x})	\frac{d}{dx}(\tan(x)-e^{-x})
integral from 0 to 1 of sqrt(e^{3x+1)}	\int\:_{0}^{1}\sqrt{e^{3x+1}}dx
derivative of ((x^2+4)/x)	\frac{d}{dx}(\frac{(x^{2}+4)}{x})
tangent of y=2x^3-8x,(2,0)	tangent\:y=2x^{3}-8x,(2,0)
(dv)/(dt)=-v	\frac{dv}{dt}=-v
integral of sh x/3	\int\:sh\frac{x}{3}dx
tangent of f(x)=4x^2-8,\at 3	tangent\:f(x)=4x^{2}-8,\at\:3
sum from n=1 to infinity of 3/n	\sum\:_{n=1}^{\infty\:}\frac{3}{n}
integral of 2/(t-t^3)	\int\:\frac{2}{t-t^{3}}dt
(dy)/(dx)=(9x+2y)/(9x+2y+2)	\frac{dy}{dx}=\frac{9x+2y}{9x+2y+2}
integral from 1/2 to 1 of 7/(\sqrt[3]{2x-1)}	\int\:_{\frac{1}{2}}^{1}\frac{7}{\sqrt[3]{2x-1}}dx
(\partial)/(\partial x)(x(e^y)/(x+y))	\frac{\partial\:}{\partial\:x}(x\frac{e^{y}}{x+y})
limit as x approaches 0 of ln(x)	\lim\:_{x\to\:0}(\ln(x))
integral of 29arctan(sqrt(x))	\int\:29\arctan(\sqrt{x})dx
derivative of f(x)=cos^4(x)	derivative\:f(x)=\cos^{4}(x)
derivative of e^{2x-3}	\frac{d}{dx}(e^{2x-3})
derivative of x^2(2x^2-3x)	\frac{d}{dx}(x^{2}(2x^{2}-3x))
derivative of 3x^2	\frac{d}{dx}(3x^{2})
tangent of f(x)=x-5sin(x),\at x= pi/2	tangent\:f(x)=x-5\sin(x),\at\:x=\frac{π}{2}
limit as x approaches-7+of (x+6)/(x+7)	\lim\:_{x\to\:-7+}(\frac{x+6}{x+7})
integral of (12)/(sqrt(x))	\int\:\frac{12}{\sqrt{x}}dx
limit as x approaches 0 of \| 1/x \|	\lim\:_{x\to\:0}(\left\|\frac{1}{x}\right\|)
integral of x/(sqrt(x^2+7))	\int\:\frac{x}{\sqrt{x^{2}+7}}dx
xdy=(y+x^2+9y^2)dx	xdy=(y+x^{2}+9y^{2})dx

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