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Popular Calculus Problems
integral of 16e^{-16x}
\int\:16e^{-16x}dx
(\partial)/(\partial x)(e^{(x^2)/(y^3)})
\frac{\partial\:}{\partial\:x}(e^{\frac{x^{2}}{y^{3}}})
integral of 6x^5-4x^2+7/3
\int\:6x^{5}-4x^{2}+\frac{7}{3}dx
limit as t approaches 0 of f(t)
\lim\:_{t\to\:0}(f(t))
derivative of (2x-3/(x-1))
\frac{d}{dx}(\frac{2x-3}{x-1})
limit as x approaches 0 of e^{-2f(x)}
\lim\:_{x\to\:0}(e^{-2f(x)})
(\partial)/(\partial x)(1/(1-y))
\frac{\partial\:}{\partial\:x}(\frac{1}{1-y})
limit as t approaches 0 of (sin(-4t))/t
\lim\:_{t\to\:0}(\frac{\sin(-4t)}{t})
laplacetransform sqrt(h)
laplacetransform\:\sqrt{h}
limit as x approaches 1 of ((x+1)^2-1)/x
\lim\:_{x\to\:1}(\frac{(x+1)^{2}-1}{x})
limit as x approaches a of cf(x)
\lim\:_{x\to\:a}(cf(x))
derivative of f(x)=1-2sqrt(x)
derivative\:f(x)=1-2\sqrt{x}
derivative of ((7x-1(x+5))/(36x))
\frac{d}{dx}(\frac{(7x-1)(x+5)}{36x})
limit as x approaches 0 of 3-4/x
\lim\:_{x\to\:0}(3-\frac{4}{x})
derivative of 6/(1+6x)
\frac{d}{dx}(\frac{6}{1+6x})
integral of (5x^{14}-11x^{32})
\int\:(5x^{14}-11x^{32})dx
derivative of 3x^4ln(x)
\frac{d}{dx}(3x^{4}\ln(x))
integral of 8e^{2x}+6x
\int\:8e^{2x}+6xdx
(\partial)/(\partial x)(9xarctan(x/y))
\frac{\partial\:}{\partial\:x}(9x\arctan(\frac{x}{y}))
y=e^{-x}sin(pi)x
y=e^{-x}\sin(π)x
limit as x approaches 1 of {3f(x)-2h(x)}
\lim\:_{x\to\:1}(\left\{3f(x)-2h(x)\right\})
limit as x approaches 0 of (cos(3x))/(x+3)
\lim\:_{x\to\:0}(\frac{\cos(3x)}{x+3})
derivative of (x+1^{-2})
\frac{d}{dx}((x+1)^{-2})
y^{''}+4y^'+5y=5x+5e^{-x}
y^{\prime\:\prime\:}+4y^{\prime\:}+5y=5x+5e^{-x}
integral of 2/(sqrt(36-25y^2))
\int\:\frac{2}{\sqrt{36-25y^{2}}}dy
sum from n=0 to infinity of na^n
\sum\:_{n=0}^{\infty\:}na^{n}
integral of e^{-st}(t-10)
\int\:e^{-st}(t-10)dt
laplacetransform sin(4t-5)
laplacetransform\:\sin(4t-5)
(\partial)/(\partial x)(xy(1-x^2-y^2))
\frac{\partial\:}{\partial\:x}(xy(1-x^{2}-y^{2}))
derivative of 2/(x-4)
\frac{d}{dx}(\frac{2}{x-4})
(6xy-2y^2+1)dx+(3x^2-4xy)dy=0
(6xy-2y^{2}+1)dx+(3x^{2}-4xy)dy=0
integral of 5/(6x+5)
\int\:\frac{5}{6x+5}dx
derivative of x/(7x^2+1)
derivative\:\frac{x}{7x^{2}+1}
derivative of f(x)=e^{2e^x}
derivative\:f(x)=e^{2e^{x}}
derivative of e^x(acos(x+bsin(x)))
\frac{d}{dx}(e^{x}(a\cos(x)+b\sin(x)))
tangent of y=x^2-4x+3,(1,0)
tangent\:y=x^{2}-4x+3,(1,0)
derivative of (x(1+{z}(x))/(1-{z)(x)})
\frac{d}{dx}(\frac{x(1+{z}(x))}{1-{z}(x)})
(dy)/(dx)=5xe^{6y}
\frac{dy}{dx}=5xe^{6y}
area 3x+18,x^2
area\:3x+18,x^{2}
limit as x approaches 0+of (x^2-1)/(x-1)
\lim\:_{x\to\:0+}(\frac{x^{2}-1}{x-1})
integral of 1/(5-4x^2)
\int\:\frac{1}{5-4x^{2}}dx
derivative of sin(x)+cos(x)
derivative\:\sin(x)+\cos(x)
integral of (4-x^2)^{3/2}x
\int\:(4-x^{2})^{\frac{3}{2}}xdx
derivative of (xx^2cos(x))
\frac{d}{dx}((x)x^{2}\cos(x))
limit as x approaches 0 of (1+2x)^{6/x}
\lim\:_{x\to\:0}((1+2x)^{\frac{6}{x}})
sum from n=2 to infinity of ln(ln(n))
\sum\:_{n=2}^{\infty\:}\ln(\ln(n))
limit as x approaches 3 of sqrt(3x-5)
\lim\:_{x\to\:3}(\sqrt{3x-5})
integral of+tln(t+5)
\int\:+t\ln(t+5)dt
derivative of 3/(2+tan(x))
\frac{d}{dx}(\frac{3}{2+\tan(x)})
integral of (tan(x))/(sin(x)cos(x))
\int\:\frac{\tan(x)}{\sin(x)\cos(x)}dx
(dy)/(dx)=(2sec(y))/((x+1)^2)
\frac{dy}{dx}=\frac{2\sec(y)}{(x+1)^{2}}
integral of ((cos(x)))/(3-sin(x))
\int\:\frac{(\cos(x))}{3-\sin(x)}dx
f(x)=(e^x+e^{-x})/2
f(x)=\frac{e^{x}+e^{-x}}{2}
y^{''}+11y^'+24y=0,y(0)=1,y^'(0)=0
y^{\prime\:\prime\:}+11y^{\prime\:}+24y=0,y(0)=1,y^{\prime\:}(0)=0
limit as t approaches 0 of 2/t-2/(e^t-1)
\lim\:_{t\to\:0}(\frac{2}{t}-\frac{2}{e^{t}-1})
derivative of (x^8-1^3)
\frac{d}{dx}((x^{8}-1)^{3})
integral of cot^2(xcs)c^4x
\int\:\cot^{2}(xcs)c^{4}xdx
derivative of-2(x+3(x-3)^2)
\frac{d}{dx}(-2(x+3)(x-3)^{2})
derivative of (cos(y+2e^{-x}cos(x))/y)
\frac{d}{dx}(\frac{\cos(y)+2e^{-x}\cos(x)}{y})
tangent of y=3xe^x,(0,0)
tangent\:y=3xe^{x},(0,0)
y^'=xy+x
y^{\prime\:}=xy+x
(dy)/(dt)+6y=0
\frac{dy}{dt}+6y=0
integral from-1 to 1 of (2-2x^2)^2
\int\:_{-1}^{1}(2-2x^{2})^{2}dx
integral of tan^7(x)sec^5(x)
\int\:\tan^{7}(x)\sec^{5}(x)dx
y^{''}-3y^'+2y=4
y^{\prime\:\prime\:}-3y^{\prime\:}+2y=4
(\partial)/(\partial x)(y-1/x)
\frac{\partial\:}{\partial\:x}(y-\frac{1}{x})
y^'-y=4x
y^{\prime\:}-y=4x
(\partial)/(\partial x)(arctan(xsqrt(t)))
\frac{\partial\:}{\partial\:x}(\arctan(x\sqrt{t}))
derivative of y=x^2+2
derivative\:y=x^{2}+2
derivative of 4x-8
\frac{d}{dx}(4x-8)
derivative of f(θ)=(sec(θ))/(1+sec(θ))
derivative\:f(θ)=\frac{\sec(θ)}{1+\sec(θ)}
tangent of f(x)=4x^2+7x
tangent\:f(x)=4x^{2}+7x
integral of 1/(u^2-4)
\int\:\frac{1}{u^{2}-4}du
integral of sin(7x)cos(7x)
\int\:\sin(7x)\cos(7x)dx
(\partial)/(\partial x)((x-y)/(2xy+5))
\frac{\partial\:}{\partial\:x}(\frac{x-y}{2xy+5})
derivative of (sin(x))^x
derivative\:(\sin(x))^{x}
tangent of x^3-2x+2(4.58)
tangent\:x^{3}-2x+2(4.58)
(\partial)/(\partial x)(3x-7y)
\frac{\partial\:}{\partial\:x}(3x-7y)
y^'cos(x)+ysin(x)=2cos^3(x)sin(x)
y^{\prime\:}\cos(x)+y\sin(x)=2\cos^{3}(x)\sin(x)
limit as h approaches 0 of (2^{-h}-1)/h
\lim\:_{h\to\:0}(\frac{2^{-h}-1}{h})
derivative of arcsin(x/3)+C
derivative\:\arcsin(\frac{x}{3})+C
integral of (54)/((9x+5)^7)
\int\:\frac{54}{(9x+5)^{7}}dx
integral of 6sin^2(3x)
\int\:6\sin^{2}(3x)dx
derivative of f(x)=(1-5x)/(1+7x)
derivative\:f(x)=\frac{1-5x}{1+7x}
derivative of cot(3x)
\frac{d}{dx}(\cot(3x))
integral of sin^7(x)cos(x)
\int\:\sin^{7}(x)\cos(x)dx
sum from n=0 to infinity of n^2e^{-n}
\sum\:_{n=0}^{\infty\:}n^{2}e^{-n}
derivative of-3/(3x+2)
\frac{d}{dx}(-\frac{3}{3x+2})
integral from-14 to 1 of x|49-x^2|
\int\:_{-14}^{1}x\left|49-x^{2}\right|dx
derivative of x^3+x^{1/2}+2
\frac{d}{dx}(x^{3}+x^{\frac{1}{2}}+2)
(\partial)/(\partial y)((2x)/(x^2+y^4))
\frac{\partial\:}{\partial\:y}(\frac{2x}{x^{2}+y^{4}})
f(x)=tan(x)-1
f(x)=\tan(x)-1
(\partial)/(\partial x)(5e^xcos(yz))
\frac{\partial\:}{\partial\:x}(5e^{x}\cos(yz))
derivative of 5/(8x^8)
\frac{d}{dx}(\frac{5}{8x^{8}})
derivative of (x^2)/(4(2-x))
derivative\:\frac{x^{2}}{4(2-x)}
integral of 9y^{-2}
\int\:9y^{-2}dy
derivative of f(x)=|x^2-25|
derivative\:f(x)=\left|x^{2}-25\right|
limit as x approaches 0 of (sin(6x))/(sin(9x))
\lim\:_{x\to\:0}(\frac{\sin(6x)}{\sin(9x)})
ty^'+(t+1)y=t,y(ln(7))=1
ty^{\prime\:}+(t+1)y=t,y(\ln(7))=1
derivative of 5x^3+2ln(x)
\frac{d}{dx}(5x^{3}+2\ln(x))
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