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Popular Calculus Problems
limit as x approaches-10+of f(x)
\lim\:_{x\to\:-10+}(f(x))
integral of 3sin(x/3)
\int\:3\sin(\frac{x}{3})dx
integral of (x^2-3)e^x
\int\:(x^{2}-3)e^{x}dx
derivative of (2x^2+x^{200})
\frac{d}{dx}((2x^{2}+x)^{200})
derivative of f(x)=sqrt((y-1)/3)
derivative\:f(x)=\sqrt{\frac{y-1}{3}}
derivative of 5/x ln(x)
\frac{d}{dx}(\frac{5}{x}\ln(x))
(tan(3x))^'
(\tan(3x))^{\prime\:}
integral from 1 to 2 of (1-x^2)-(3-3x)
\int\:_{1}^{2}(1-x^{2})-(3-3x)dx
(dx)/(dt)=x^2-6x+14
\frac{dx}{dt}=x^{2}-6x+14
derivative of f(x)=2x^4+x^3-x^2+4
derivative\:f(x)=2x^{4}+x^{3}-x^{2}+4
integral from 0 to x of sqrt(1+9t)
\int\:_{0}^{x}\sqrt{1+9t}dt
integral of 10sin(x)-2cos(x)
\int\:10\sin(x)-2\cos(x)dx
integral of 6y^2
\int\:6y^{2}dy
integral of x^3e^{6x}
\int\:x^{3}e^{6x}dx
integral of cosh(x)sin(x
\int\:\cosh(x)\sin(d)xdx
integral of 1/((x-2))
\int\:\frac{1}{(x-2)}dx
inverse oflaplace (e^{-7s})/((s^2-25))
inverselaplace\:\frac{e^{-7s}}{(s^{2}-25)}
d/(da)(cos(a)*sin(a))
\frac{d}{da}(\cos(a)\cdot\:\sin(a))
integral of 6sin^2(xco)s^2x
\int\:6\sin^{2}(xco)s^{2}xdx
area y=3x^3-x^2-10x,y=-x^2+2x
area\:y=3x^{3}-x^{2}-10x,y=-x^{2}+2x
derivative of 6/((x-1^2))
\frac{d}{dx}(\frac{6}{(x-1)^{2}})
tangent of f(x)=6cos(x)+3sin(2x)
tangent\:f(x)=6\cos(x)+3\sin(2x)
y^{''}-y^'-2y=0,y(0)=2,y^'(0)=2
y^{\prime\:\prime\:}-y^{\prime\:}-2y=0,y(0)=2,y^{\prime\:}(0)=2
(\partial)/(\partial x)(sqrt(1+3x))
\frac{\partial\:}{\partial\:x}(\sqrt{1+3x})
x*dy=(x+y)*dx
x\cdot\:dy=(x+y)\cdot\:dx
taylor ((x-ln(1+x)))/(x^2)
taylor\:\frac{(x-\ln(1+x))}{x^{2}}
limit as x approaches-5 of (x^2-6)/(5-x)
\lim\:_{x\to\:-5}(\frac{x^{2}-6}{5-x})
tangent of y=x+3/x ,(3,4)
tangent\:y=x+\frac{3}{x},(3,4)
(\partial)/(\partial y)(-xysin(x)+2ycos(x))
\frac{\partial\:}{\partial\:y}(-xy\sin(x)+2y\cos(x))
(dy}{dx}=\frac{(1+y))/x
\frac{dy}{dx}=\frac{(1+y)}{x}
slope of (0.2)(1.5)
slope\:(0.2)(1.5)
limit as x approaches 0 of 2/(3x^{1/3)}
\lim\:_{x\to\:0}(\frac{2}{3x^{\frac{1}{3}}})
slope of sqrt(x)
slope\:\sqrt{x}
integral of xln(x^2+1)+(x^2+1)y
\int\:x\ln(x^{2}+1)+(x^{2}+1)ydx
integral of 1/(sqrt(5-x^2))
\int\:\frac{1}{\sqrt{5-x^{2}}}dx
y^{''}+16y=5csc^2(4t)
y^{\prime\:\prime\:}+16y=5\csc^{2}(4t)
integral from 0 to 1 of pi(1-x^3)^2
\int\:_{0}^{1}π(1-x^{3})^{2}dx
(\partial)/(\partial x)(e^x*sin(y))
\frac{\partial\:}{\partial\:x}(e^{x}\cdot\:\sin(y))
integral from 0 to 1/2 of (4x+3)e^{2x}
\int\:_{0}^{\frac{1}{2}}(4x+3)e^{2x}dx
(\partial)/(\partial x)(5/(xy))
\frac{\partial\:}{\partial\:x}(\frac{5}{xy})
integral of (2x^2)/(x^2+1)
\int\:\frac{2x^{2}}{x^{2}+1}dx
xy^'+y=xy^2
xy^{\prime\:}+y=xy^{2}
taylor x/(e^x-1),1
taylor\:\frac{x}{e^{x}-1},1
integral of (5-3x^2)ln(x)
\int\:(5-3x^{2})\ln(x)dx
f(x)=arctan(x^2)
f(x)=\arctan(x^{2})
derivative of (x^5)/5+1/(12x^3)
derivative\:\frac{x^{5}}{5}+\frac{1}{12x^{3}}
integral of (3x^5)/(sqrt(1-6x^6))
\int\:\frac{3x^{5}}{\sqrt{1-6x^{6}}}dx
integral of 1/(sqrt(3x-x^2-2))
\int\:\frac{1}{\sqrt{3x-x^{2}-2}}dx
derivative of f(x)=(3-xe^x)/(x+e^x)
derivative\:f(x)=\frac{3-xe^{x}}{x+e^{x}}
integral of (x-1)/(x^3+2x^2+x)
\int\:\frac{x-1}{x^{3}+2x^{2}+x}dx
integral from 0 to pi of (sin(x))
\int\:_{0}^{π}(\sin(x))dx
integral of (xsqrt(7-x^2))
\int\:(x\sqrt{7-x^{2}})dx
limit as x approaches 4 of x^3-cx
\lim\:_{x\to\:4}(x^{3}-cx)
f(x)=((x-2))/x
f(x)=\frac{(x-2)}{x}
derivative of e^{1/(x-1})
\frac{d}{dx}(e^{\frac{1}{x-1}})
integral of (xsqrt(x))/(\sqrt[4]{x^3)}
\int\:\frac{x\sqrt{x}}{\sqrt[4]{x^{3}}}dx
integral of e^{2x}sin(6x)
\int\:e^{2x}\sin(6x)dx
integral of sqrt(1+3/2 \sqrt{x)}
\int\:\sqrt{1+\frac{3}{2}\sqrt{x}}dx
integral of (e^{sqrt(ax)})/(sqrt(x))
\int\:\frac{e^{\sqrt{ax}}}{\sqrt{x}}dx
integral of (4x^3-3x+2)^2(4x^2-1)
\int\:(4x^{3}-3x+2)^{2}(4x^{2}-1)dx
derivative of xe^{-x}cos(x)
\frac{d}{dx}(xe^{-x}\cos(x))
integral of (2x-3)/(3x^4+7x^2)
\int\:\frac{2x-3}{3x^{4}+7x^{2}}dx
limit as x approaches 0 of sin(x/x)
\lim\:_{x\to\:0}(\sin(\frac{x}{x}))
derivative of-8x^2
\frac{d}{dx}(-8x^{2})
(6x^2y^2-4y^4)dx+(2x^3y-4xy^3)dy=0
(6x^{2}y^{2}-4y^{4})dx+(2x^{3}y-4xy^{3})dy=0
integral of cos(pix-npix)
\int\:\cos(πx-nπx)dx
derivative of y=(2t-1)(3t-4)^{-1}
derivative\:y=(2t-1)(3t-4)^{-1}
integral of (1+cos(2θ))/2
\int\:\frac{1+\cos(2θ)}{2}dθ
(\partial)/(\partial s)(4st)
\frac{\partial\:}{\partial\:s}(4st)
(dy)/(dx)=y-2x
\frac{dy}{dx}=y-2x
limit as x approaches 4 of sqrt(x-6)
\lim\:_{x\to\:4}(\sqrt{x-6})
x*(dy)/(dx)+3y=x^3-x
x\cdot\:\frac{dy}{dx}+3y=x^{3}-x
derivative of f(x)=(6x^2+4x)^2
derivative\:f(x)=(6x^{2}+4x)^{2}
derivative of 1100+13x-0.1x^2+0.0005x^3
derivative\:1100+13x-0.1x^{2}+0.0005x^{3}
integral of (-(4x+10))/(x^3)
\int\:\frac{-(4x+10)}{x^{3}}dx
area x=((y-3)^2)/5 ,y=13-x
area\:x=\frac{(y-3)^{2}}{5},y=13-x
integral of+(13)/((t^2+1)^{3/2)}
\int\:+\frac{13}{(t^{2}+1)^{\frac{3}{2}}}dt
limit as x approaches 1 of 1/x
\lim\:_{x\to\:1}(\frac{1}{x})
limit as n approaches infinity of tanh(n)
\lim\:_{n\to\:\infty\:}(\tanh(n))
integral of (x^2+x+1)/((x+2)(x+1)^2)
\int\:\frac{x^{2}+x+1}{(x+2)(x+1)^{2}}dx
integral of 4e^{-t}t
\int\:4e^{-t}tdt
integral of sec(8x)
\int\:\sec(8x)dx
derivative of f(x)=6sec(x)
derivative\:f(x)=6\sec(x)
(\partial)/(\partial x)(x^3+8x^2y+12y^2)
\frac{\partial\:}{\partial\:x}(x^{3}+8x^{2}y+12y^{2})
(dy)/(dx)+8y=e^{7x}
\frac{dy}{dx}+8y=e^{7x}
derivative of e^x(11x^2-22x+22)
\frac{d}{dx}(e^{x}(11x^{2}-22x+22))
implicit (dy)/(dx),y^4=4xy
implicit\:\frac{dy}{dx},y^{4}=4xy
limit as x approaches 0 of (e^{3x}-1)/(2x)
\lim\:_{x\to\:0}(\frac{e^{3x}-1}{2x})
d/(d{y)}(({x})/(({x)^2+{y}^2+{z}^2)^2})
\frac{d}{d{y}}(\frac{{x}}{({x}^{2}+{y}^{2}+{z}^{2})^{2}})
integral of-3csc(x)cot(x)
\int\:-3\csc(x)\cot(x)dx
derivative of f(x)(6x^2-3)(1.5^x)
derivative\:f(x)(6x^{2}-3)(1.5^{x})
(\partial)/(\partial x)(y^6sin(3x))
\frac{\partial\:}{\partial\:x}(y^{6}\sin(3x))
integral of 5/(sqrt(9-x^2))
\int\:\frac{5}{\sqrt{9-x^{2}}}dx
derivative of sin(x+x^2e^y+5)
\frac{d}{dx}(\sin(x)+x^{2}e^{y}+5)
integral of xcosh(x^2)
\int\:x\cosh(x^{2})dx
derivative of x/(2-x)
\frac{d}{dx}(\frac{x}{2-x})
derivative of (x^2+2^2(x^2+2x+1)^3)
\frac{d}{dx}((x^{2}+2)^{2}(x^{2}+2x+1)^{3})
2(12)(5)+2(5)(dy)/(dt)=0
2(12)(5)+2(5)\frac{dy}{dt}=0
integral of 11cot^4(x)
\int\:11\cot^{4}(x)dx
integral of x^2cos^3(x^3)sin^2(x^3)
\int\:x^{2}\cos^{3}(x^{3})\sin^{2}(x^{3})dx
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