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Popular Calculus Problems

integral of 1/(25+(x-6)^2)	\int\:\frac{1}{25+(x-6)^{2}}dx
inverse oflaplace 1/(5s^2+0.2s)	inverselaplace\:\frac{1}{5s^{2}+0.2s}
(\partial)/(\partial y)(e^{5y}cos(-5x))	\frac{\partial\:}{\partial\:y}(e^{5y}\cos(-5x))
integral of e^xsin(4x)	\int\:e^{x}\sin(4x)dx
derivative of log_{3}(4x+1)	\frac{d}{dx}(\log_{3}(4x+1))
(\partial)/(\partial y)(-9sin(3x+yz))	\frac{\partial\:}{\partial\:y}(-9\sin(3x+yz))
limit as x approaches pi/8 of tan(24x)	\lim\:_{x\to\:\frac{π}{8}}(\tan(24x))
derivative of tan(8x)	derivative\:\tan(8x)
integral from 0 to 1 of 9(e^{1/x})/(x^3)	\int\:_{0}^{1}9\frac{e^{\frac{1}{x}}}{x^{3}}dx
(\partial)/(\partial y)(8e^{yz}cos(xyz))	\frac{\partial\:}{\partial\:y}(8e^{yz}\cos(xyz))
slope of (4.8)(2.12)	slope\:(4.8)(2.12)
derivative of sqrt(xe^{2x)}	\frac{d}{dx}(\sqrt{xe^{2x}})
integral of sin^2(pi/4+t/2)	\int\:\sin^{2}(\frac{π}{4}+\frac{t}{2})dt
limit as x approaches-7 of x^2-49	\lim\:_{x\to\:-7}(x^{2}-49)
derivative of 1/(t^2+5t-1)	derivative\:\frac{1}{t^{2}+5t-1}
tangent of y=(4x)/(x^2+1),(-1,-2)	tangent\:y=\frac{4x}{x^{2}+1},(-1,-2)
area x^3-13x^2+30x,-x^3+13x^2-30x	area\:x^{3}-13x^{2}+30x,-x^{3}+13x^{2}-30x
laplacetransform-(e^{-3(t-1)})/3-1/3	laplacetransform\:-\frac{e^{-3(t-1)}}{3}-\frac{1}{3}
derivative of f(x)=(6x^3)/(4-x)	derivative\:f(x)=\frac{6x^{3}}{4-x}
limit as x approaches 0 of (3^{x^2}-1)/x	\lim\:_{x\to\:0}(\frac{3^{x^{2}}-1}{x})
derivative of 1/(sqrt(x+6))	derivative\:\frac{1}{\sqrt{x+6}}
integral of (-2x+3)	\int\:(-2x+3)dx
tangent of 3x^2+8	tangent\:3x^{2}+8
integral of 1/(v^2-v)	\int\:\frac{1}{v^{2}-v}dv
f(θ)=3sin(θ)	f(θ)=3\sin(θ)
(\partial)/(\partial y)(5xy^2+x^2)	\frac{\partial\:}{\partial\:y}(5xy^{2}+x^{2})
t^2y^{''}+ty^'+64y=0	t^{2}y^{\prime\:\prime\:}+ty^{\prime\:}+64y=0
d/(dv)(m/v)	\frac{d}{dv}(\frac{m}{v})
derivative of 1-2x	derivative\:1-2x
limit as t approaches 1+of 4/((t-1)^3)	\lim\:_{t\to\:1+}(\frac{4}{(t-1)^{3}})
(\partial)/(\partial x)((x^2+y^2+z^2)^{3/2})	\frac{\partial\:}{\partial\:x}((x^{2}+y^{2}+z^{2})^{\frac{3}{2}})
derivative of x^{8e^{5x}}	\frac{d}{dx}(x^{8e^{5x}})
derivative of 12x(x^2+10^5)	\frac{d}{dx}(12x(x^{2}+10)^{5})
integral of 2sin^2(x)cos(x)	\int\:2\sin^{2}(x)\cos(x)dx
integral of 2xsqrt(x+3)	\int\:2x\sqrt{x+3}dx
integral of x^e+e^x	\int\:x^{e}+e^{x}dx
(\partial)/(\partial x)(cos(y^2))	\frac{\partial\:}{\partial\:x}(\cos(y^{2}))
integral of 64x^3(4x^2+1)^3	\int\:64x^{3}(4x^{2}+1)^{3}dx
integral of x^2(x^3+2)^5	\int\:x^{2}(x^{3}+2)^{5}dx
derivative of (cot^2(2x)/(1+x^2))	\frac{d}{dx}(\frac{\cot^{2}(2x)}{1+x^{2}})
derivative of 2x(x+5)	derivative\:2x(x+5)
d/(dt)(6cos^3(t))	\frac{d}{dt}(6\cos^{3}(t))
integral of ((3x^3-5x^2+10x-3))/(3x+1)	\int\:\frac{(3x^{3}-5x^{2}+10x-3)}{3x+1}dx
simplify 8/(sqrt((x^3+x^2+1)^3))	simplify\:\frac{8}{\sqrt{(x^{3}+x^{2}+1)^{3}}}
integral of t-1	\int\:t-1dt
integral of (sin(x))/(sqrt(5cos(x)+10))	\int\:\frac{\sin(x)}{\sqrt{5\cos(x)+10}}dx
(\partial)/(\partial x)(x/(x-y))	\frac{\partial\:}{\partial\:x}(\frac{x}{x-y})
integral of (-y)/((x^2+y^2)^2)	\int\:\frac{-y}{(x^{2}+y^{2})^{2}}dy
(\partial)/(\partial x)(sqrt(x^2-ln(xy)))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}-\ln(xy)})
derivative of picsc(pi+(x^6/3))	\frac{d}{dx}(π\csc(π+\frac{x^{6}}{3}))
derivative of f(x)=(x-1)	derivative\:f(x)=(x-1)
y^{''}+4y^'+4y=((e^{-2x}))/((x^2))	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=\frac{(e^{-2x})}{(x^{2})}
integral of 5x^4-sin(x)+2e^x	\int\:5x^{4}-\sin(x)+2e^{x}dx
integral of (x^4)/(sqrt(3-x^2))	\int\:\frac{x^{4}}{\sqrt{3-x^{2}}}dx
laplacetransform-(sin^2(2t))/4	laplacetransform\:-\frac{\sin^{2}(2t)}{4}
derivative of (arctan(8x)^2)	\frac{d}{dx}((\arctan(8x))^{2})
derivative of ln(sqrt(1+e^x))	\frac{d}{dx}(\ln(\sqrt{1+e^{x}}))
derivative of 4(x^3-1^3)	\frac{d}{dx}(4(x^{3}-1)^{3})
limit as x approaches a of 4/(sqrt(1-x))	\lim\:_{x\to\:a}(\frac{4}{\sqrt{1-x}})
f(x)=sqrt(ln(x))	f(x)=\sqrt{\ln(x)}
integral of (2*3^x)/(2^x)	\int\:\frac{2\cdot\:3^{x}}{2^{x}}dx
integral from 0 to pi of tan(x/3)	\int\:_{0}^{π}\tan(\frac{x}{3})dx
integral of 5/(sqrt(25-x^2))	\int\:\frac{5}{\sqrt{25-x^{2}}}dx
(\partial)/(\partial y)(x^4+5xy^3)	\frac{\partial\:}{\partial\:y}(x^{4}+5xy^{3})
derivative of x/7-7/x	derivative\:\frac{x}{7}-\frac{7}{x}
inverse oflaplace (2s+12)/(s^2+2s+5)	inverselaplace\:\frac{2s+12}{s^{2}+2s+5}
derivative of (5x^2+3)^{1/4}	derivative\:(5x^{2}+3)^{\frac{1}{4}}
integral of (5x^4+5x^3+2x+1)/(x^2+x)	\int\:\frac{5x^{4}+5x^{3}+2x+1}{x^{2}+x}dx
limit as x approaches 0 of (ln(1+2x))/x	\lim\:_{x\to\:0}(\frac{\ln(1+2x)}{x})
derivative of sin(3x+4sqrt(x))	\frac{d}{dx}(\sin(3x)+4\sqrt{x})
integral of (1/(x^{12)})	\int\:(\frac{1}{x^{12}})dx
integral from 0 to 1 of sin(x^2)	\int\:_{0}^{1}\sin(x^{2})dx
integral of 3e^{7x}	\int\:3e^{7x}dx
y^'=x^2+2y	y^{\prime\:}=x^{2}+2y
integral of (1-tanh^3(3x))/(tanh(3x))	\int\:\frac{1-\tanh^{3}(3x)}{\tanh(3x)}dx
integral of (4x^3)/3	\int\:\frac{4x^{3}}{3}dx
0.5y^{''}+10y^'+100y=150	0.5y^{\prime\:\prime\:}+10y^{\prime\:}+100y=150
limit as x approaches 1 of (x)^{1/(1-x)}	\lim\:_{x\to\:1}((x)^{\frac{1}{1-x}})
derivative of-(2x/y)	\frac{d}{dx}(-\frac{2x}{y})
integral of (sqrt(4x^2-25))/x	\int\:\frac{\sqrt{4x^{2}-25}}{x}dx
slope ofintercept (-6,1),(-4,-9)	slopeintercept\:(-6,1),(-4,-9)
derivative of 4x+2	\frac{d}{dx}(4x+2)
integral of 2/(x^2+4)	\int\:\frac{2}{x^{2}+4}dx
area y= 1/3 x^3+2,y=x+1,0,2	area\:y=\frac{1}{3}x^{3}+2,y=x+1,0,2
integral of (sin^3(sqrt(x)))/((sqrt(x)))	\int\:\frac{\sin^{3}(\sqrt{x})}{(\sqrt{x})}dx
integral from-1 to 1 of 10^x	\int\:_{-1}^{1}10^{x}dx
(3/x)^'	(\frac{3}{x})^{\prime\:}
derivative of 5x^2ln(x)	\frac{d}{dx}(5x^{2}\ln(x))
tangent of (x^3-16x)^{14}	tangent\:(x^{3}-16x)^{14}
integral of 36x^2	\int\:36x^{2}dx
integral of (9x)/((7-x^2)^3)	\int\:\frac{9x}{(7-x^{2})^{3}}dx
limit as x approaches 0 of 1+e^{1/x}	\lim\:_{x\to\:0}(1+e^{\frac{1}{x}})
integral of (x^2)/(x^4-42x^2-343)	\int\:\frac{x^{2}}{x^{4}-42x^{2}-343}dx
derivative of (4cos(x))/(1+sin(x))	derivative\:\frac{4\cos(x)}{1+\sin(x)}
tangent of y=8xe^x,(0,0)	tangent\:y=8xe^{x},(0,0)
integral from 0 to pi/(10) of cos(5x)	\int\:_{0}^{\frac{π}{10}}\cos(5x)dx
integral of tan^3(7x)sec(7x)	\int\:\tan^{3}(7x)\sec(7x)dx
tangent of-2x^3	tangent\:-2x^{3}
(dy)/(dx)+y=1	\frac{dy}{dx}+y=1
integral of 2x^7	\int\:2x^{7}dx

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