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Popular Calculus Problems

integral of (x^3)/(x^4)	\int\:\frac{x^{3}}{x^{4}}dx
limit as x approaches infinity of 0/x	\lim\:_{x\to\:\infty\:}(\frac{0}{x})
integral of x/((6x^2+5)^3)	\int\:\frac{x}{(6x^{2}+5)^{3}}dx
((dy)/(dx))/y =3	\frac{\frac{dy}{dx}}{y}=3
integral of x^2inx	\int\:x^{2}inxdx
sum from n=1 to infinity of 8n	\sum\:_{n=1}^{\infty\:}8n
derivative of f(x)=((x^2+3)/(x^2-3))^4	derivative\:f(x)=(\frac{x^{2}+3}{x^{2}-3})^{4}
sum from n=1 to infinity of 1/(n^2+2n+5)	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{2}+2n+5}
integral of (cos(3x)cos(2x))/3	\int\:\frac{\cos(3x)\cos(2x)}{3}dx
integral from 0 to pi/6 of 20sec^4(x)	\int\:_{0}^{\frac{π}{6}}20\sec^{4}(x)dx
integral of (8x+6)/(2x^2+3x-2)	\int\:\frac{8x+6}{2x^{2}+3x-2}dx
integral of tan(3x)	\int\:\tan(3x)dx
derivative of 1/((1-2x(1+x)))	\frac{d}{dx}(\frac{1}{(1-2x)(1+x)})
integral of X^2sqrt(X-5)	\int\:X^{2}\sqrt{X-5}dX
(\partial)/(\partial x)(m+2g(m,x))	\frac{\partial\:}{\partial\:x}(m+2g(m,x))
integral of 4/(sqrt(4-x^2))	\int\:\frac{4}{\sqrt{4-x^{2}}}dx
integral of sin^7(3x)cos(3x)	\int\:\sin^{7}(3x)\cos(3x)dx
derivative of 1/4 x-1/10	\frac{d}{dx}(\frac{1}{4}x-\frac{1}{10})
integral of 5xe^{7x}	\int\:5xe^{7x}dx
derivative of f(x)=2^{60}	derivative\:f(x)=2^{60}
4y^{''}+4y^'+y=0,y(2)=-6,y^'(2)=4	4y^{\prime\:\prime\:}+4y^{\prime\:}+y=0,y(2)=-6,y^{\prime\:}(2)=4
laplacetransform t^6e^{-,\at}	laplacetransform\:t^{6}e^{-,\at\:}
integral of x/(a+bx)	\int\:\frac{x}{a+bx}dx
derivative of (x^2-6(x^3+x^2+x+2))	\frac{d}{dx}((x^{2}-6)(x^{3}+x^{2}+x+2))
integral of 2(x-6)^3	\int\:2(x-6)^{3}dx
parity 2x^2cos(x)cot(x)	parity\:2x^{2}\cos(x)\cot(x)
integral of (25)/(25+e^x)	\int\:\frac{25}{25+e^{x}}dx
xy^'+y=-3xy^2,y(1)=-4	xy^{\prime\:}+y=-3xy^{2},y(1)=-4
f(x)=ln^4(x)	f(x)=\ln^{4}(x)
derivative of f(x)= 1/(x-8)	derivative\:f(x)=\frac{1}{x-8}
tangent of y=4-x^2	tangent\:y=4-x^{2}
integral of \sqrt[4]{cot(x)}csc^2(x)	\int\:\sqrt[4]{\cot(x)}\csc^{2}(x)dx
limit as x approaches 0 of x/(\|x\|)sin(x)	\lim\:_{x\to\:0}(\frac{x}{\left\|x\right\|}\sin(x))
(\partial)/(\partial r)(2pir^2+2pirh)	\frac{\partial\:}{\partial\:r}(2πr^{2}+2πrh)
derivative of 2tan^2(x)	\frac{d}{dx}(2\tan^{2}(x))
derivative of 6sin(xcos(x))	\frac{d}{dx}(6\sin(x)\cos(x))
integral from 0 to 2 of y/(sqrt(9-y^2))	\int\:_{0}^{2}\frac{y}{\sqrt{9-y^{2}}}dy
integral of ((5x+3))/(x^3-2x^2-3x)	\int\:\frac{(5x+3)}{x^{3}-2x^{2}-3x}dx
y^'=x^2*y	y^{\prime\:}=x^{2}\cdot\:y
limit as x approaches 2+of 5	\lim\:_{x\to\:2+}(5)
integral of (8x^2-13x+2)/(x^3-3x^2+2x)	\int\:\frac{8x^{2}-13x+2}{x^{3}-3x^{2}+2x}dx
integral of (sin^7(8x))/(cos^4(8x))	\int\:\frac{\sin^{7}(8x)}{\cos^{4}(8x)}dx
(\partial)/(\partial x)(ln(x^6+y^3))	\frac{\partial\:}{\partial\:x}(\ln(x^{6}+y^{3}))
taylor sin(x) pi/4	taylor\:\sin(x)\frac{π}{4}
integral of sec^2(11x)	\int\:\sec^{2}(11x)dx
laplacetransform e^{-9t}	laplacetransform\:e^{-9t}
tangent of y=3+6x+8xe^x	tangent\:y=3+6x+8xe^{x}
derivative of (x^2/(5(1-x)))	\frac{d}{dx}(\frac{x^{2}}{5(1-x)})
derivative of h(x)=8x^2-6	derivative\:h(x)=8x^{2}-6
taylor x^{0.5}	taylor\:x^{0.5}
(\partial)/(\partial x)(2x^2+3y-20)	\frac{\partial\:}{\partial\:x}(2x^{2}+3y-20)
integral of 1/((1+x^2)arctan(x))	\int\:\frac{1}{(1+x^{2})\arctan(x)}dx
integral of 15sec^{-2}(xta)n^3x	\int\:15\sec^{-2}(xta)n^{3}xdx
derivative of (1-x)^3	derivative\:(1-x)^{3}
(\partial)/(\partial y)(-e^xsin(y)+1/y)	\frac{\partial\:}{\partial\:y}(-e^{x}\sin(y)+\frac{1}{y})
d/(dt)(acos(t)+bsin(t))	\frac{d}{dt}(a\cos(t)+b\sin(t))
limit as x approaches 0 of (7^x-5^x)/x	\lim\:_{x\to\:0}(\frac{7^{x}-5^{x}}{x})
(\partial)/(\partial x)(z-sin(xy))	\frac{\partial\:}{\partial\:x}(z-\sin(xy))
integral from 0 to x of (sin(t))/t	\int\:_{0}^{x}\frac{\sin(t)}{t}dt
limit as x approaches-850 of-7 2/13	\lim\:_{x\to\:-850}(-7\frac{2}{13})
area y=\sqrt[4]{x},y=sqrt(2-x),y=0	area\:y=\sqrt[4]{x},y=\sqrt{2-x},y=0
derivative of f(x)=(2sqrt(x))/(5x-2)	derivative\:f(x)=\frac{2\sqrt{x}}{5x-2}
derivative of 1/(sqrt(x+5))	\frac{d}{dx}(\frac{1}{\sqrt{x+5}})
derivative of f(x)=3x^4-12x^3+9	derivative\:f(x)=3x^{4}-12x^{3}+9
derivative of 5arcsin(x^3)	derivative\:5\arcsin(x^{3})
limit as x approaches 0 of sqrt(49-x^2)	\lim\:_{x\to\:0}(\sqrt{49-x^{2}})
integral of 6csc^4(θ)	\int\:6\csc^{4}(θ)dθ
integral of 1/(3-5sin(x))	\int\:\frac{1}{3-5\sin(x)}dx
maclaurin (1+x)^{-1}	maclaurin\:(1+x)^{-1}
integral of (2x)/(x^2-16)+1/x+2	\int\:\frac{2x}{x^{2}-16}+\frac{1}{x}+2dx
y^'=x	y^{\prime\:}=x
derivative of f(x)=(-2x^2+4)^4	derivative\:f(x)=(-2x^{2}+4)^{4}
tangent of y=(((x+1))/((x+3)^2))	tangent\:y=(\frac{(x+1)}{(x+3)^{2}})
(dy)/(dt)=e^{t-y}	\frac{dy}{dt}=e^{t-y}
integral from 0 to 5 of e^xsin(x)	\int\:_{0}^{5}e^{x}\sin(x)dx
tangent of f(x)=2x^2-x-3	tangent\:f(x)=2x^{2}-x-3
integral from 0 to 1 of 8e^{-4x}	\int\:_{0}^{1}8e^{-4x}dx
slope of (0.2)(3.5)	slope\:(0.2)(3.5)
limit as x approaches 5 of sqrt(x^2-16)	\lim\:_{x\to\:5}(\sqrt{x^{2}-16})
integral of-y/x	\int\:-\frac{y}{x}dx
derivative of f(x)=(8x^2-14x)e^x	derivative\:f(x)=(8x^{2}-14x)e^{x}
inverse oflaplace 3/((s+1))	inverselaplace\:\frac{3}{(s+1)}
limit as x approaches-1 of 5^{x^2-3x}	\lim\:_{x\to\:-1}(5^{x^{2}-3x})
integral of (x^3)/((x^4+3)^{7/2)}	\int\:\frac{x^{3}}{(x^{4}+3)^{\frac{7}{2}}}dx
integral of (e^x)/(e^{2x)+4}	\int\:\frac{e^{x}}{e^{2x}+4}dx
y^{''}+5y^'+4y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+5y^{\prime\:}+4y=0,y(0)=1,y^{\prime\:}(0)=0
expand (e^{2x}-5x)^2	expand\:(e^{2x}-5x)^{2}
integral from-x to x of x^3	\int\:_{-x}^{x}x^{3}dx
(\partial)/(\partial θ)(xcos(θ))	\frac{\partial\:}{\partial\:θ}(x\cos(θ))
integral of s2^s	\int\:s2^{s}ds
integral of (cos^2(x))/(sin^6(x))	\int\:\frac{\cos^{2}(x)}{\sin^{6}(x)}dx
integral from 0 to 4 of pi(x-1/4 x^2)	\int\:_{0}^{4}π(x-\frac{1}{4}x^{2})dx
(\partial)/(\partial x)(e^{-5y}sin(5x))	\frac{\partial\:}{\partial\:x}(e^{-5y}\sin(5x))
integral of (x^3-1)/(x-2)	\int\:\frac{x^{3}-1}{x-2}dx
laplacetransform e^tcos(t)	laplacetransform\:e^{t}\cos(t)
integral of sin((npix)/pi)	\int\:\sin(\frac{nπx}{π})dx
integral from 0 to 1 of x^{2/3}	\int\:_{0}^{1}x^{\frac{2}{3}}dx
integral of 5yz	\int\:5yzdx
((x^2)/(x-5))^'	(\frac{x^{2}}{x-5})^{\prime\:}
derivative of x^7(x-10)^3	derivative\:x^{7}(x-10)^{3}

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