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Popular Calculus Problems
(\partial)/(\partial y)(2x^2-y^2+3x-y)
\frac{\partial\:}{\partial\:y}(2x^{2}-y^{2}+3x-y)
derivative of ln(cos(2x))
derivative\:\ln(\cos(2x))
integral from 1/3 to 7 of 10xln(3x)
\int\:_{\frac{1}{3}}^{7}10x\ln(3x)dx
integral from-9 to-7 of 1/x
\int\:_{-9}^{-7}\frac{1}{x}dx
integral from 0 to 1 of 3/(sqrt(x)(x+1))
\int\:_{0}^{1}\frac{3}{\sqrt{x}(x+1)}dx
integral of e^{-3x^2}
\int\:e^{-3x^{2}}dx
integral of 4xsin(2x)
\int\:4x\sin(2x)dx
slope ofintercept (-3,-4),(0,2)
slopeintercept\:(-3,-4),(0,2)
integral of 1/(10x^3)
\int\:\frac{1}{10x^{3}}dx
integral of x^2sqrt(6+x^3)
\int\:x^{2}\sqrt{6+x^{3}}dx
d/(d{r)}(2/({r)^3})
\frac{d}{d{r}}(\frac{2}{{r}^{3}})
y^{''}+10y^'+41y=0
y^{\prime\:\prime\:}+10y^{\prime\:}+41y=0
integral of (x^2+2)e^{-x}
\int\:(x^{2}+2)e^{-x}dx
sum from n=3 to infinity of 4^{(n+2)}
\sum\:_{n=3}^{\infty\:}4^{(n+2)}
integral of (x^2+x+1)/x
\int\:\frac{x^{2}+x+1}{x}dx
(1+xy)y^'+y^2=0
(1+xy)y^{\prime\:}+y^{2}=0
derivative of y=(arctan(5x))^2
derivative\:y=(\arctan(5x))^{2}
sum from k=0 to infinity of ((x-4)/5)^k
\sum\:_{k=0}^{\infty\:}(\frac{x-4}{5})^{k}
(\partial)/(\partial x)(2xsin(y-z))
\frac{\partial\:}{\partial\:x}(2x\sin(y-z))
inverse oflaplace (3e^{(-2s)})/((s^2+2s+5))
inverselaplace\:\frac{3e^{(-2s)}}{(s^{2}+2s+5)}
integral of (3sqrt(x)(2))/((sqrt(x)))
\int\:\frac{3\sqrt{x}(2)}{(\sqrt{x})}dx
derivative of (ln(sqrt(x))/x)
\frac{d}{dx}(\frac{\ln(\sqrt{x})}{x})
integral from 0 to 1 of 5/(1+t^2)
\int\:_{0}^{1}\frac{5}{1+t^{2}}dt
integral of x^5(x^6+5)^5
\int\:x^{5}(x^{6}+5)^{5}dx
simplify ln(sqrt(x^2-1))
simplify\:\ln(\sqrt{x^{2}-1})
f(x)=x^2e^{11x}
f(x)=x^{2}e^{11x}
integral of (x^3)/(sqrt(x^4+1))
\int\:\frac{x^{3}}{\sqrt{x^{4}+1}}dx
limit as x approaches 0 of (tan(x))/(5x)
\lim\:_{x\to\:0}(\frac{\tan(x)}{5x})
y^{'''}-6y^{''}+12y^'-8y=0
y^{\prime\:\prime\:\prime\:}-6y^{\prime\:\prime\:}+12y^{\prime\:}-8y=0
(e^xcos(y)+2x)dx-(e^xsin(y))dy=0
(e^{x}\cos(y)+2x)dx-(e^{x}\sin(y))dy=0
x^'=(x-4)^2
x^{\prime\:}=(x-4)^{2}
derivative of ((e^{2p}+1))/(3e^{2p)}
derivative\:\frac{(e^{2p}+1)}{3e^{2p}}
limit as x approaches 7+of-2x^2+2
\lim\:_{x\to\:7+}(-2x^{2}+2)
derivative of sin(9x)+sin^2(9x)
derivative\:\sin(9x)+\sin^{2}(9x)
integral of (4x+5)^2
\int\:(4x+5)^{2}dx
limit as x approaches 1/3 of (9x-3)^3
\lim\:_{x\to\:\frac{1}{3}}((9x-3)^{3})
d/(dt)(1/(sqrt(1-2t)))
\frac{d}{dt}(\frac{1}{\sqrt{1-2t}})
integral of 8e^{7x}
\int\:8e^{7x}dx
limit as x approaches 1 of pixcos(pi)x
\lim\:_{x\to\:1}(πx\cos(π)x)
integral of e^xsqrt(a-be^x)
\int\:e^{x}\sqrt{a-be^{x}}dx
y^{''}+y^'+2y=0
y^{\prime\:\prime\:}+y^{\prime\:}+2y=0
derivative of (5x^2-9(8x+3))
\frac{d}{dx}((5x^{2}-9)(8x+3))
slope ofintercept (9.7)(3)
slopeintercept\:(9.7)(3)
derivative of xe^{4x}
derivative\:xe^{4x}
(dy)/(dx)=x^2-y
\frac{dy}{dx}=x^{2}-y
integral of 1/(x^2sqrt(49-x^2))
\int\:\frac{1}{x^{2}\sqrt{49-x^{2}}}dx
tangent of f(x)=x^2,\at x=0
tangent\:f(x)=x^{2},\at\:x=0
integral of 7sin^2(t)cos^4(t)
\int\:7\sin^{2}(t)\cos^{4}(t)dt
laplacetransform ((2te^{-3t}))/5+3t*sin(t)
laplacetransform\:\frac{(2te^{-3t})}{5}+3t\cdot\:\sin(t)
(13+x^2)y^'-2xy=0
(13+x^{2})y^{\prime\:}-2xy=0
(\partial)/(\partial x)(yx+2x+{g}(y))
\frac{\partial\:}{\partial\:x}(yx+2x+{g}(y))
y^'=-xy
y^{\prime\:}=-xy
tangent of f(x)=x^3-2x+2,\at x=3
tangent\:f(x)=x^{3}-2x+2,\at\:x=3
(\partial)/(\partial x)(ln(ax+by)+c^{x+y})
\frac{\partial\:}{\partial\:x}(\ln(ax+by)+c^{x+y})
integral of (cos(x))/(sin^2(x))
\int\:\frac{\cos(x)}{\sin^{2}(x)}dx
integral of e^{2x}-e^x
\int\:e^{2x}-e^{x}dx
inverse oflaplace a/(s+a)
inverselaplace\:\frac{a}{s+a}
integral of 4x^3
\int\:4x^{3}dx
derivative of 1/(9x)
\frac{d}{dx}(\frac{1}{9x})
integral of xa^x
\int\:xa^{x}dx
integral of (x^2)/((196+x^2)^2)
\int\:\frac{x^{2}}{(196+x^{2})^{2}}dx
(\partial)/(\partial x)(xy-2x-2y-x^2-y^2)
\frac{\partial\:}{\partial\:x}(xy-2x-2y-x^{2}-y^{2})
sum from n=1 to infinity of 2/(4n^2-1)
\sum\:_{n=1}^{\infty\:}\frac{2}{4n^{2}-1}
integral of (sqrt(x^2-1))/(x^3)
\int\:\frac{\sqrt{x^{2}-1}}{x^{3}}dx
(dy)/(dt)=6e^{2t-y}
\frac{dy}{dt}=6e^{2t-y}
derivative of mxe^{nx^2}
\frac{d}{dx}(mxe^{nx^{2}})
derivative of 5*T{g}(T,x(2x^3)+2/(x^2))
\frac{d}{dx}(5\cdot\:T{g}(T,x)(2x^{3})+\frac{2}{x^{2}})
tangent of y= 5/(sqrt(x)),(1,5)
tangent\:y=\frac{5}{\sqrt{x}},(1,5)
integral from 6/5 to 4 of 1/(1-x^2)
\int\:_{\frac{6}{5}}^{4}\frac{1}{1-x^{2}}dx
integral of x^{3/2}(4-4x)
\int\:x^{\frac{3}{2}}(4-4x)dx
limit as x approaches infinity of 0.72x
\lim\:_{x\to\:\infty\:}(0.72x)
derivative of sqrt(29-x^2-4y^2)
\frac{d}{dx}(\sqrt{29-x^{2}-4y^{2}})
derivative of 4cos(xsin(x))
\frac{d}{dx}(4\cos(x)\sin(x))
derivative of f(x)=(x^3+9)/(x^3)
derivative\:f(x)=\frac{x^{3}+9}{x^{3}}
derivative of (x^2+3x/7)
\frac{d}{dx}(\frac{x^{2}+3x}{7})
d/(ds)(s/(s^2+4))
\frac{d}{ds}(\frac{s}{s^{2}+4})
derivative of e^{3x}(3cos(4x)-4sin(4x))
derivative\:e^{3x}(3\cos(4x)-4\sin(4x))
integral of (-5x^2)/(sqrt(4x-x^2))
\int\:\frac{-5x^{2}}{\sqrt{4x-x^{2}}}dx
derivative of f(x)=8x^4-3x^3+4x
derivative\:f(x)=8x^{4}-3x^{3}+4x
derivative of cos(sin(x^4))
\frac{d}{dx}(\cos(\sin(x^{4})))
d/(dy)(y^{1-n})
\frac{d}{dy}(y^{1-n})
integral of (2x^2)/(4+x^2)
\int\:\frac{2x^{2}}{4+x^{2}}dx
y^3-(6x+4)+3xy^2y^'=0
y^{3}-(6x+4)+3xy^{2}y^{\prime\:}=0
sum from n=1 to infinity of (2^n)/n (4x-8)^n
\sum\:_{n=1}^{\infty\:}\frac{2^{n}}{n}(4x-8)^{n}
integral from 2 to 4 of 3sqrt(x)
\int\:_{2}^{4}3\sqrt{x}dx
derivative of f(x)=(3x-10)(2x^2-x+1)
derivative\:f(x)=(3x-10)(2x^{2}-x+1)
integral of 17e^x
\int\:17e^{x}dx
integral of a/(x^3)
\int\:\frac{a}{x^{3}}dx
sum from n=1 to infinity of 1^n
\sum\:_{n=1}^{\infty\:}1^{n}
integral of 2ax
\int\:2axdx
limit as x approaches 0 of (x+1)^{1/x}
\lim\:_{x\to\:0}((x+1)^{\frac{1}{x}})
x^3y^{'''}-x^2y^{''}+2xy^'-2y=0
x^{3}y^{\prime\:\prime\:\prime\:}-x^{2}y^{\prime\:\prime\:}+2xy^{\prime\:}-2y=0
limit as x approaches-infinity of e^{3x}(2-x)
\lim\:_{x\to\:-\infty\:}(e^{3x}(2-x))
integral of (xsqrt(x)+sqrt(x))/(x^2)
\int\:\frac{x\sqrt{x}+\sqrt{x}}{x^{2}}dx
integral of (3/x+5/(x^2))
\int\:(\frac{3}{x}+\frac{5}{x^{2}})dx
laplacetransform 3sin(5t+45)
laplacetransform\:3\sin(5t+45)
integral of ((x^7+3x^5-2x^3-4))/(x^3)
\int\:\frac{(x^{7}+3x^{5}-2x^{3}-4)}{x^{3}}dx
(\partial)/(\partial y)(1000-4xy+xy^2)
\frac{\partial\:}{\partial\:y}(1000-4xy+xy^{2})
(\partial)/(\partial x)(e^{-3t}cos(pix))
\frac{\partial\:}{\partial\:x}(e^{-3t}\cos(πx))
integral from 0 to 5/7 of 5x-7x^2
\int\:_{0}^{\frac{5}{7}}5x-7x^{2}dx
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