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Popular Calculus Problems
integral of 9x^{-1}
\int\:9x^{-1}dx
integral of 1/((2x-3)^2)
\int\:\frac{1}{(2x-3)^{2}}dx
tangent of f(x)= 3/((x+5)^2),\at x=1
tangent\:f(x)=\frac{3}{(x+5)^{2}},\at\:x=1
limit as x approaches 3 of (|x+7|)/(x-3)
\lim\:_{x\to\:3}(\frac{\left|x+7\right|}{x-3})
tangent of f(t)=3t-t^2,(0,0)
tangent\:f(t)=3t-t^{2},(0,0)
integral of (x+3)^4
\int\:(x+3)^{4}dx
derivative of x^2sin(y)
\frac{d}{dx}(x^{2}\sin(y))
y^'=100-y
y^{\prime\:}=100-y
derivative of (2x+1^5(x^4-3)^6)
\frac{d}{dx}((2x+1)^{5}(x^{4}-3)^{6})
integral of ((60)/(2x+5)-4)
\int\:(\frac{60}{2x+5}-4)dx
integral of 3x^3*4x^4
\int\:3x^{3}\cdot\:4x^{4}dx
(\partial)/(\partial x)(cos(iy)e^{ix}i)
\frac{\partial\:}{\partial\:x}(\cos(iy)e^{ix}i)
derivative of ln((1+sin(x)/(1-sin(x))))
\frac{d}{dx}(\ln(\frac{1+\sin(x)}{1-\sin(x)}))
integral of-1/2 cos(2x)+1/2
\int\:-\frac{1}{2}\cos(2x)+\frac{1}{2}dx
integral of 1/e
\int\:\frac{1}{e}dx
integral of sqrt(x^2+4x+40)
\int\:\sqrt{x^{2}+4x+40}dx
derivative of (2/(x-1)^5)
\frac{d}{dx}((\frac{2}{x-1})^{5})
derivative of 1/x-x
\frac{d}{dx}(\frac{1}{x}-x)
integral of sqrt(x)+2
\int\:\sqrt{x}+2dx
derivative of f(t)=3tsin(pit)
derivative\:f(t)=3t\sin(πt)
integral of 3x*2^{x^2}
\int\:3x\cdot\:2^{x^{2}}dx
limit as x approaches 0 of (sin(x))/(3x)
\lim\:_{x\to\:0}(\frac{\sin(x)}{3x})
tangent of x^3+y^3=7xy,(2,-4)
tangent\:x^{3}+y^{3}=7xy,(2,-4)
tangent of y= 1/(x^2),(-1,1)
tangent\:y=\frac{1}{x^{2}},(-1,1)
integral from 1/5 to 7 of 12xln(5x)
\int\:_{\frac{1}{5}}^{7}12x\ln(5x)dx
integral of (-1)/(1+x^2)
\int\:\frac{-1}{1+x^{2}}dx
derivative of (ln(2x)/(5x))
\frac{d}{dx}(\frac{\ln(2x)}{5x})
integral of cos^2(1/2 x)
\int\:\cos^{2}(\frac{1}{2}x)dx
integral of (x^2-5x+6)/(x^2+4)
\int\:\frac{x^{2}-5x+6}{x^{2}+4}dx
(\partial)/(\partial x)((y/x)^{3/4})
\frac{\partial\:}{\partial\:x}((\frac{y}{x})^{\frac{3}{4}})
(\partial)/(\partial y)(e^xcos(2y))
\frac{\partial\:}{\partial\:y}(e^{x}\cos(2y))
y^'+4y=32x,y(0)=3
y^{\prime\:}+4y=32x,y(0)=3
(dy)/(dx)=xy+5x+4y+20
\frac{dy}{dx}=xy+5x+4y+20
derivative of 7e^{-5x}
\frac{d}{dx}(7e^{-5x})
derivative of (10/(e^x))
\frac{d}{dx}(\frac{10}{e^{x}})
tangent of f(x)=2x^4,\at x=-2,32
tangent\:f(x)=2x^{4},\at\:x=-2,32
derivative of (6x^2+6x+8)/(sqrt(x))
derivative\:\frac{6x^{2}+6x+8}{\sqrt{x}}
integral of csc^4(9x)
\int\:\csc^{4}(9x)dx
derivative of (x-1)e^x
derivative\:(x-1)e^{x}
(\partial)/(\partial x)(7xy+xcos(x))
\frac{\partial\:}{\partial\:x}(7xy+x\cos(x))
area-x^2+4,3x
area\:-x^{2}+4,3x
integral of (8x+5)^{-3}
\int\:(8x+5)^{-3}dx
derivative of (8x^2-13xe^x)
\frac{d}{dx}((8x^{2}-13x)e^{x})
integral from 0 to-1 of (-16\sqrt[3]{x})
\int\:_{0}^{-1}(-16\sqrt[3]{x})dx
limit as x approaches-1 of (x^2-7)/(1-x)
\lim\:_{x\to\:-1}(\frac{x^{2}-7}{1-x})
derivative of f(x)=ln(ln(x))
derivative\:f(x)=\ln(\ln(x))
integral of e^{-0.02t}(e^{-0.13t}+4)
\int\:e^{-0.02t}(e^{-0.13t}+4)dt
sum from n=0 to infinity of \sqrt[n]{5}
\sum\:_{n=0}^{\infty\:}\sqrt[n]{5}
integral from 0 to x of 1/(0.2x+10)
\int\:_{0}^{x}\frac{1}{0.2x+10}dx
tangent of 1-x^2
tangent\:1-x^{2}
integral of (3x+1)/(sqrt(4-x^2))
\int\:\frac{3x+1}{\sqrt{4-x^{2}}}dx
integral from 0 to 6 of (6x)/(1+x^2)
\int\:_{0}^{6}\frac{6x}{1+x^{2}}dx
derivative of (x+5)(7sqrt(x)+3)
derivative\:(x+5)(7\sqrt{x}+3)
y^'-y=t
y^{\prime\:}-y=t
derivative of x^2e^{x^3}
\frac{d}{dx}(x^{2}e^{x^{3}})
(\partial)/(\partial x)(ln(x/3))
\frac{\partial\:}{\partial\:x}(\ln(\frac{x}{3}))
sum from n=1 to infinity of n^2e^{-n}
\sum\:_{n=1}^{\infty\:}n^{2}e^{-n}
limit as x approaches 2 of (x+3)/(x+6)
\lim\:_{x\to\:2}(\frac{x+3}{x+6})
integral of e^xcosh(x)
\int\:e^{x}\cosh(x)dx
limit as x approaches 0 of (cos(5x)tan(5x))/(3x)
\lim\:_{x\to\:0}(\frac{\cos(5x)\tan(5x)}{3x})
integral of-1/((t+2)^2)
\int\:-\frac{1}{(t+2)^{2}}dt
f(x)=sqrt(x^2-x+1)
f(x)=\sqrt{x^{2}-x+1}
(\partial)/(\partial x)(13xe^y-11ye^{-x})
\frac{\partial\:}{\partial\:x}(13xe^{y}-11ye^{-x})
(\partial)/(\partial x)(sin^2(ax))
\frac{\partial\:}{\partial\:x}(\sin^{2}(ax))
(\partial)/(\partial y)(1/x+1/y)
\frac{\partial\:}{\partial\:y}(\frac{1}{x}+\frac{1}{y})
integral of 5e^{5x}sin(e^{5x})
\int\:5e^{5x}\sin(e^{5x})dx
integral of sqrt(2)cos(x)
\int\:\sqrt{2}\cos(x)dx
limit as x approaches 5 of cos(1/(x-5))
\lim\:_{x\to\:5}(\cos(\frac{1}{x-5}))
area y=x^2-2x+3,x=-2,x=1
area\:y=x^{2}-2x+3,x=-2,x=1
limit as x approaches 0+of 1+x^{5tan(x)}
\lim\:_{x\to\:0+}(1+x^{5\tan(x)})
derivative of sqrt(t/(t^2+4))
derivative\:\sqrt{\frac{t}{t^{2}+4}}
integral of e^x-2
\int\:e^{x}-2dx
integral from 0 to 3 of x^5e^{x^3}
\int\:_{0}^{3}x^{5}e^{x^{3}}dx
integral from 0 to ln(3) of 3/(e^x+4)
\int\:_{0}^{\ln(3)}\frac{3}{e^{x}+4}dx
(dy)/(dx)+2y=e^x
\frac{dy}{dx}+2y=e^{x}
integral of 1/((1-x)(5-x))
\int\:\frac{1}{(1-x)(5-x)}dx
integral of cos^3(4x)sin^{-2}(4x)
\int\:\cos^{3}(4x)\sin^{-2}(4x)dx
integral of sin(x)(1+cos(x))
\int\:\sin(x)(1+\cos(x))dx
integral of x^2+3x
\int\:x^{2}+3xdx
maclaurin sin(8x)
maclaurin\:\sin(8x)
derivative of ((x^4+1^{sin(x)})/(x^2+1))
\frac{d}{dx}(\frac{(x^{4}+1)^{\sin(x)}}{x^{2}+1})
integral of 1/(t^2sqrt(t^2+5))
\int\:\frac{1}{t^{2}\sqrt{t^{2}+5}}dt
derivative of sin(x^2+pi)
\frac{d}{dx}(\sin(x^{2}+π))
y=x^x(dy)/(dx)
y=x^{x}\frac{dy}{dx}
derivative of (e^x+e^{-x}/2)
\frac{d}{dx}(\frac{e^{x}+e^{-x}}{2})
integral of e^y*y^2
\int\:e^{y}\cdot\:y^{2}dy
integral of (-1)/(x^2+1)
\int\:\frac{-1}{x^{2}+1}dx
expand sqrt(x)(x-14)
expand\:\sqrt{x}(x-14)
limit as x approaches infinity of x/(16)
\lim\:_{x\to\:\infty\:}(\frac{x}{16})
integral of (cos(ax))/(sqrt(b+sin(ax)))
\int\:\frac{\cos(ax)}{\sqrt{b+\sin(ax)}}dx
y^{''}+2xy^'=0
y^{\prime\:\prime\:}+2xy^{\prime\:}=0
integral of sec^2(xta)n^3x
\int\:\sec^{2}(xta)n^{3}xdx
derivative of 1-sqrt(1-x^2)
\frac{d}{dx}(1-\sqrt{1-x^{2}})
integral of (x^2-1)/(x^2-1)
\int\:\frac{x^{2}-1}{x^{2}-1}dx
integral of x^2*ab*e^{-abx+abc}
\int\:x^{2}\cdot\:ab\cdot\:e^{-abx+abc}dx
(\partial)/(\partial y)(e^{x^2}+2xy)
\frac{\partial\:}{\partial\:y}(e^{x^{2}}+2xy)
integral from 0 to \sqrt[3]{7 of}x^2
\int\:_{0}^{\sqrt[3]{7}}x^{2}dx
derivative of 3/(4x+1)
derivative\:\frac{3}{4x+1}
derivative of (2x/(x^2+1))
\frac{d}{dx}(\frac{2x}{x^{2}+1})
derivative of (x-4^3e^{-4x})
\frac{d}{dx}((x-4)^{3}e^{-4x})
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