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Popular Calculus Problems

derivative of {f}(x(x)^2(x))	\frac{d}{dx}({f}(x)(x)^{2}(x))
integral from 1/3 to 5 of 16xln(3x)	\int\:_{\frac{1}{3}}^{5}16x\ln(3x)dx
tangent of f(x)=x^2+4x-5,\at x=2	tangent\:f(x)=x^{2}+4x-5,\at\:x=2
derivative of nln(x)	\frac{d}{dx}(n\ln(x))
integral of 1/(25-81x^2)	\int\:\frac{1}{25-81x^{2}}dx
integral of ((x^3+x))/(2x-1)	\int\:\frac{(x^{3}+x)}{2x-1}dx
derivative of (x/3+6sqrt(x)^3)	\frac{d}{dx}((\frac{x}{3}+6\sqrt{x})^{3})
integral from 0 to pi/8 of (sin(2x))	\int\:_{0}^{\frac{π}{8}}(\sin(2x))dx
derivative of x/(x^{-1+5})	\frac{d}{dx}(\frac{x}{x^{-1}+5})
derivative of x^2*sin(1/(x^2))	\frac{d}{dx}(x^{2}\cdot\:\sin(\frac{1}{x^{2}}))
integral from-1 to 1 of (9x^2+6x-3)	\int\:_{-1}^{1}(9x^{2}+6x-3)dx
laplacetransform te^{4t}	laplacetransform\:te^{4t}
derivative of tan^2(sin(θ))	derivative\:\tan^{2}(\sin(θ))
integral of ue^u	\int\:ue^{u}du
(\partial)/(\partial y)(4x^3y^2+4)	\frac{\partial\:}{\partial\:y}(4x^{3}y^{2}+4)
area 4-4x^2,x^8-1	area\:4-4x^{2},x^{8}-1
(\partial}{\partial s}(\frac{(s-2r))/t)	\frac{\partial\:}{\partial\:s}(\frac{(s-2r)}{t})
integral of (x^2)/5	\int\:\frac{x^{2}}{5}dx
derivative of f(x)=(6x^{3/2})/x	derivative\:f(x)=\frac{6x^{\frac{3}{2}}}{x}
integral of (1-3x+6x^2)/((x^2+1)(4x+1))	\int\:\frac{1-3x+6x^{2}}{(x^{2}+1)(4x+1)}dx
limit as x approaches 0 of xcot((pix)/2)	\lim\:_{x\to\:0}(x\cot(\frac{πx}{2}))
integral of (5+x^8)^48x^7	\int\:(5+x^{8})^{4}8x^{7}dx
integral of x^3sin(3x)	\int\:x^{3}\sin(3x)dx
(dy)/(dx)+y=e^{-x}	\frac{dy}{dx}+y=e^{-x}
inverse oflaplace (5s)/(s^2(s^2+16))	inverselaplace\:\frac{5s}{s^{2}(s^{2}+16)}
sum from n=0 to infinity of nsin(1/n)	\sum\:_{n=0}^{\infty\:}n\sin(\frac{1}{n})
tangent of y=3x^3-3x,(1,0)	tangent\:y=3x^{3}-3x,(1,0)
limit as x approaches 2 of x^2-4x+3	\lim\:_{x\to\:2}(x^{2}-4x+3)
(\partial)/(\partial x)(xsqrt(1-x^2))	\frac{\partial\:}{\partial\:x}(x\sqrt{1-x^{2}})
area y=8x,y=0,y=x^2-9	area\:y=8x,y=0,y=x^{2}-9
integral of 4θcos(θ)	\int\:4θ\cos(θ)dθ
integral of ((2+ln(x)))/x	\int\:\frac{(2+\ln(x))}{x}dx
integral of sqrt(36-7x^2)	\int\:\sqrt{36-7x^{2}}dx
(\partial)/(\partial y)(2x+y-8)	\frac{\partial\:}{\partial\:y}(2x+y-8)
derivative of tan(x^2)	derivative\:\tan(x^{2})
integral from 1 to infinity of 1	\int\:_{1}^{\infty\:}1
derivative of 1/2 (3x^2+x^{-3})	\frac{d}{dx}(\frac{1}{2}(3x^{2}+x)^{-3})
derivative of f(x)=x^4sin(2x)	derivative\:f(x)=x^{4}\sin(2x)
derivative of (x+2((300)/x+4))	\frac{d}{dx}((x+2)(\frac{300}{x}+4))
y^'-2y=4-t	y^{\prime\:}-2y=4-t
limit as x approaches 0+of (19)/(x^2)	\lim\:_{x\to\:0+}(\frac{19}{x^{2}})
derivative of (5x+4)^x	derivative\:(5x+4)^{x}
integral of (x^2+x-1)/(x^2-x)	\int\:\frac{x^{2}+x-1}{x^{2}-x}dx
integral of x^3sqrt(1+64x^2)	\int\:x^{3}\sqrt{1+64x^{2}}dx
derivative of 16x^2	\frac{d}{dx}(16x^{2})
derivative of (3x^2/2-7/(5x^2))	\frac{d}{dx}(\frac{3x^{2}}{2}-\frac{7}{5x^{2}})
(d^2)/(dx^2)(1/(sqrt(1-t^2)))	\frac{d^{2}}{dx^{2}}(\frac{1}{\sqrt{1-t^{2}}})
tangent of y=3x^2-4x+5	tangent\:y=3x^{2}-4x+5
derivative of y=ln(x)sqrt(x)	derivative\:y=\ln(x)\sqrt{x}
integral from 0 to 2pi of sin(x)+cos(x)	\int\:_{0}^{2π}\sin(x)+\cos(x)dx
limit as x approaches 5 of 5/((x-5)^2)	\lim\:_{x\to\:5}(\frac{5}{(x-5)^{2}})
integral of (x+3)/(x^4+9x^2)	\int\:\frac{x+3}{x^{4}+9x^{2}}dx
derivative of sin(xln(6x))	\frac{d}{dx}(\sin(x)\ln(6x))
limit as x approaches 0+of x^7ln(x)	\lim\:_{x\to\:0+}(x^{7}\ln(x))
limit as x approaches 0+of xln(x^7)	\lim\:_{x\to\:0+}(x\ln(x^{7}))
integral of xsqrt(x-7)	\int\:x\sqrt{x-7}dx
(\partial)/(\partial x)(sin(-2x+4y+z))	\frac{\partial\:}{\partial\:x}(\sin(-2x+4y+z))
derivative of e^xsin(sqrt(x))	\frac{d}{dx}(e^{x}\sin(\sqrt{x}))
integral of ((10)/(sqrt(x))+10sqrt(x))	\int\:(\frac{10}{\sqrt{x}}+10\sqrt{x})dx
limit as x approaches 0 of (x(x))/(x+x)	\lim\:_{x\to\:0}(\frac{x(x)}{x+x})
derivative of f(x)=4x\sqrt[3]{x}	derivative\:f(x)=4x\sqrt[3]{x}
derivative of f(x)=(3x+7)^2	derivative\:f(x)=(3x+7)^{2}
derivative of f(x)=(5x-5x^3)(7+sqrt(x))	\frac{d}{dx}f(x)=(5x-5x^{3})(7+\sqrt{x})
x(dy)/(dx)+y= 1/(y^2)	x\frac{dy}{dx}+y=\frac{1}{y^{2}}
derivative of 30-80e^{-0.8x}	\frac{d}{dx}(30-80e^{-0.8x})
ydx+(e^{-y}+x)dy=0	ydx+(e^{-y}+x)dy=0
maclaurin 4x^4+3x^3+2x^2+x+1	maclaurin\:4x^{4}+3x^{3}+2x^{2}+x+1
integral of sin(4x)cos(7x)	\int\:\sin(4x)\cos(7x)dx
(\partial)/(\partial x)(3x^{2/3}y^{1/3})	\frac{\partial\:}{\partial\:x}(3x^{\frac{2}{3}}y^{\frac{1}{3}})
integral from 0 to 0.5 of 150x	\int\:_{0}^{0.5}150xdx
integral from 0 to 1 of (29)/(4y-1)	\int\:_{0}^{1}\frac{29}{4y-1}dy
limit as x approaches 0 of 3x^2-1	\lim\:_{x\to\:0}(3x^{2}-1)
derivative of y=2x^4+3x-3	derivative\:y=2x^{4}+3x-3
derivative of sqrt(2+cos(2x))	\frac{d}{dx}(\sqrt{2+\cos(2x)})
inverse oflaplace s/((s^2+49)(s^2+1))	inverselaplace\:\frac{s}{(s^{2}+49)(s^{2}+1)}
partialfraction x/(x^2-9)	partialfraction\:\frac{x}{x^{2}-9}
d/(dy)(sinh(y))	\frac{d}{dy}(\sinh(y))
implicit x^2+11xy+y^2=11	implicit\:x^{2}+11xy+y^{2}=11
x(x^3+1)y^'+(2x^3-1)y=((x^3-2))/x	x(x^{3}+1)y^{\prime\:}+(2x^{3}-1)y=\frac{(x^{3}-2)}{x}
derivative of 3log_{10}(x)	\frac{d}{dx}(3\log_{10}(x))
(\partial)/(\partial x)(1/(2x+4y^2))	\frac{\partial\:}{\partial\:x}(\frac{1}{2x+4y^{2}})
integral from 0 to 3 of x^2sqrt(9-x^2)	\int\:_{0}^{3}x^{2}\sqrt{9-x^{2}}dx
integral of 1/(t^2sqrt(256-t^2))	\int\:\frac{1}{t^{2}\sqrt{256-t^{2}}}dt
sum from n=0 to infinity of ((nx)/6)^n	\sum\:_{n=0}^{\infty\:}(\frac{nx}{6})^{n}
limit as x approaches+2 of sqrt(2-x)	\lim\:_{x\to\:+2}(\sqrt{2-x})
derivative of f(x)=(2t-1)(3t-4)^{-1}	derivative\:f(x)=(2t-1)(3t-4)^{-1}
derivative of 2^{4x}+4x^2	derivative\:2^{4x}+4x^{2}
integral of 1/(4^{2x)}	\int\:\frac{1}{4^{2x}}dx
derivative of ln(ln(4s))	derivative\:\ln(\ln(4s))
(\partial)/(\partial x)(x^3+2xy+y^2)	\frac{\partial\:}{\partial\:x}(x^{3}+2xy+y^{2})
derivative of 0.015+x	\frac{d}{dx}(0.015+x)
tangent of f(x)=6x^2-10x+4,\at x=1	tangent\:f(x)=6x^{2}-10x+4,\at\:x=1
limit as x approaches 3 of ln(x)	\lim\:_{x\to\:3}(\ln(x))
(d^2)/(dx^2)(cos^2(x))	\frac{d^{2}}{dx^{2}}(\cos^{2}(x))
integral of e^{2y}-ycos(xy)	\int\:e^{2y}-y\cos(xy)dx
derivative of 4.9x^2	\frac{d}{dx}(4.9x^{2})
(\partial}{\partial x}(ln(\frac{x-2)/3))	\frac{\partial\:}{\partial\:x}(\ln(\frac{x-2}{3}))
limit as x approaches 7 of (x-7)/(\|x-7\|)	\lim\:_{x\to\:7}(\frac{x-7}{\left\|x-7\right\|})
limit as x approaches 0 of x^2+3x+1	\lim\:_{x\to\:0}(x^{2}+3x+1)
(dy)/(dx)+y^9x+5y=0	\frac{dy}{dx}+y^{9}x+5y=0

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