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Popular Calculus Problems

integral of 1/(s^3)	\int\:\frac{1}{s^{3}}ds
integral of-sqrt(16-x^2)	\int\:-\sqrt{16-x^{2}}dx
integral of ((ln(x^6))/x)	\int\:(\frac{\ln(x^{6})}{x})dx
integral of (x^2+4x+3)	\int\:(x^{2}+4x+3)dx
integral of 1/7 e^{-x/7}	\int\:\frac{1}{7}e^{-\frac{x}{7}}dx
integral of (sqrt(x^5))/4	\int\:\frac{\sqrt{x^{5}}}{4}dx
integral of 1/(x^2sqrt(4+x))	\int\:\frac{1}{x^{2}\sqrt{4+x}}dx
integral of (x+9)/(x-9)-(y+21)/(y+39)	\int\:\frac{x+9}{x-9}-\frac{y+21}{y+39}
integral of 9x^8-8/(x^8)	\int\:9x^{8}-\frac{8}{x^{8}}dx
integral of 1/(sqrt(e^{2x)+9)}	\int\:\frac{1}{\sqrt{e^{2x}+9}}dx
integral of x^2(x^3-2x+5)	\int\:x^{2}(x^{3}-2x+5)dx
integral of (2e^x)/(e^x-1)	\int\:\frac{2e^{x}}{e^{x}-1}dx
integral of 1/(sqrt(2gh))(g)	\int\:\frac{1}{\sqrt{2gh}}(g)dh
integral of e^x5^x	\int\:e^{x}5^{x}dx
integral of ((x-1))/((x^2-2x+5))	\int\:\frac{(x-1)}{(x^{2}-2x+5)}dx
integral of (21)/(1+9x^2)	\int\:\frac{21}{1+9x^{2}}dx
integral of (2v)/(v^2+1)	\int\:\frac{2v}{v^{2}+1}dv
integral of (x^3)/(sqrt((11)^2-x^2))	\int\:\frac{x^{3}}{\sqrt{(11)^{2}-x^{2}}}dx
integral of x^{-2}(2x^4+3x^2-2x^{-3})	\int\:x^{-2}(2x^{4}+3x^{2}-2x^{-3})dx
integral of (5x^4-4x^3+3x^2)	\int\:(5x^{4}-4x^{3}+3x^{2})dx
integral of 6/(sqrt(25-(x+5)^2))	\int\:\frac{6}{\sqrt{25-(x+5)^{2}}}dx
integral of (7-2x)^{10}	\int\:(7-2x)^{10}dx
integral of ((x^4))/(x^2+1)	\int\:\frac{(x^{4})}{x^{2}+1}dx
integral of ((sec(x)+cos(x)))/(2cos(x))	\int\:\frac{(\sec(x)+\cos(x))}{2\cos(x)}dx
integral of (4x^3+6)ln(x)	\int\:(4x^{3}+6)\ln(x)dx
integral of (7x^3-5)^2	\int\:(7x^{3}-5)^{2}dx
integral of 3x^2-x+1	\int\:3x^{2}-x+1dx
integral of (x^{1/3})^2	\int\:(x^{\frac{1}{3}})^{2}dx
integral of (1+cos(2θ))	\int\:(1+\cos(2θ))dθ
integral of x^2*sqrt(2x+1)	\int\:x^{2}\cdot\:\sqrt{2x+1}dx
integral of 65x^{5x}(1+ln(x))	\int\:65x^{5x}(1+\ln(x))dx
integral of (4x-5)^6	\int\:(4x-5)^{6}dx
integral of 1/((sqrt(1+e^x)))	\int\:\frac{1}{(\sqrt{1+e^{x}})}dx
integral of x^2+2x-35	\int\:x^{2}+2x-35dx
integral of 2sqrt(x)-sec^2(x)	\int\:2\sqrt{x}-\sec^{2}(x)dx
integral of 27sin^3(x)	\int\:27\sin^{3}(x)dx
integral of-xsin^2(x)	\int\:-x\sin^{2}(x)dx
integral of (sinh(x)+x^2)	\int\:(\sinh(x)+x^{2})dx
integral of tsqrt(4+5t)	\int\:t\sqrt{4+5t}dt
integral of sin(5x+3)	\int\:\sin(5x+3)dx
integral of (x^4)/((x^5+1)^2)	\int\:\frac{x^{4}}{(x^{5}+1)^{2}}dx
integral of v^{-1}	\int\:v^{-1}dv
integral of 1/((1+x^2))	integral\:\frac{1}{(1+x^{2})}
integral of e^{cos(13t)}sin(13t)	\int\:e^{\cos(13t)}\sin(13t)dt
integral of (x+2)/(sqrt(x^2-6x+10))	\int\:\frac{x+2}{\sqrt{x^{2}-6x+10}}dx
integral of (6x^2)/(5sqrt(4x^3-3))	\int\:\frac{6x^{2}}{5\sqrt{4x^{3}-3}}dx
integral of (3x^2-5x+7)/(x+1)	\int\:\frac{3x^{2}-5x+7}{x+1}dx
integral of (1/(\sqrt[3]{x)}-3x^{5/2})	\int\:(\frac{1}{\sqrt[3]{x}}-3x^{\frac{5}{2}})dx
integral of (6x^5-sqrt(x)+5x^2)/(x^3)	\int\:\frac{6x^{5}-\sqrt{x}+5x^{2}}{x^{3}}dx
integral of e^{-px}sin(wx)	\int\:e^{-px}\sin(wx)dx
integral of 1/2 sin(2)	\int\:\frac{1}{2}\sin(2)dx
integral of (-cos(x))/(sin^2(x))	\int\:\frac{-\cos(x)}{\sin^{2}(x)}dx
integral of (8x+3)e^x	\int\:(8x+3)e^{x}dx
integral of 2kx	\int\:2kxdx
integral of (16)/((16-x^2)^{3/2)}	\int\:\frac{16}{(16-x^{2})^{\frac{3}{2}}}dx
integral of 1/(sqrt(1+x^2)-x)	\int\:\frac{1}{\sqrt{1+x^{2}}-x}dx
integral of sin^2(x)cos(x)x	\int\:\sin^{2}(x)\cos(x)xdx
integral of (x^2+2sqrt(x))/(3x)	\int\:\frac{x^{2}+2\sqrt{x}}{3x}dx
integral of (cos(2x))/(x^2)	\int\:\frac{\cos(2x)}{x^{2}}dx
integral of 4-t	\int\:4-tdt
integral of sqrt(1-(x-2)^2)	\int\:\sqrt{1-(x-2)^{2}}dx
integral of e^{ln(5x)}	\int\:e^{\ln(5x)}dx
integral of (xye^{xy}+2y-1/(x^2))	\int\:(xye^{xy}+2y-\frac{1}{x^{2}})dy
integral of (5x^4+9x^2+3)/(x(x^2+1)^2)	\int\:\frac{5x^{4}+9x^{2}+3}{x(x^{2}+1)^{2}}dx
integral of (4x^3-1)	\int\:(4x^{3}-1)dx
integral of 2^{3x+5}	\int\:2^{3x+5}dx
integral of (4x^2+x)/((16x^3+6x^2)^2)	\int\:\frac{4x^{2}+x}{(16x^{3}+6x^{2})^{2}}dx
integral of ((e^{3x}))/(1+e^{6x)}	\int\:\frac{(e^{3x})}{1+e^{6x}}dx
integral of (4e^x+1/x+3/(x^2+1))	\int\:(4e^{x}+\frac{1}{x}+\frac{3}{x^{2}+1})dx
integral of 6xcos(2x)	\int\:6x\cos(2x)dx
integral of x^2ye^{-yx}	\int\:x^{2}ye^{-yx}dx
integral of (x-1)4^x	\int\:(x-1)4^{x}dx
integral of (140)/(7xsqrt(100-49x^2))	\int\:\frac{140}{7x\sqrt{100-49x^{2}}}dx
integral of 5/(x^4-1)	\int\:\frac{5}{x^{4}-1}dx
integral of xcos(pikx)	\int\:x\cos(πkx)dx
integral of (5x^2+9)^2	\int\:(5x^{2}+9)^{2}dx
integral of (x+5)e^{4x}	\int\:(x+5)e^{4x}dx
integral of 2-3/(x^{10)}	\int\:2-\frac{3}{x^{10}}dx
integral of x^5log_{e}(x)	\int\:x^{5}\log_{e}(x)dx
integral of 6/(sqrt(x+1)+\sqrt{x)}	\int\:\frac{6}{\sqrt{x+1}+\sqrt{x}}dx
integral of 6sqrt(4x-5)	\int\:6\sqrt{4x-5}dx
integral of (3^{3x+2})/(3^{3x+2)-3}	\int\:\frac{3^{3x+2}}{3^{3x+2}-3}dx
integral of sin^3(2x)cos^2(x)	\int\:\sin^{3}(2x)\cos^{2}(x)dx
integral of ce^{2x}-e^{3x}	\int\:ce^{2x}-e^{3x}dx
integral of 1-sqrt(1-x^2)	\int\:1-\sqrt{1-x^{2}}dx
integral of x/(x(x+2)^2)	\int\:\frac{x}{x(x+2)^{2}}dx
integral of (\sqrt[3]{x^4})/4	\int\:\frac{\sqrt[3]{x^{4}}}{4}dx
integral of (e^t+e^{-t})	\int\:(e^{t}+e^{-t})dt
integral of (x+4)/(x^2-x-6)	\int\:\frac{x+4}{x^{2}-x-6}dx
integral of (ln((x+1)^2))	\int\:(\ln((x+1)^{2}))dx
integral of 3^x+x^3+3/x	\int\:3^{x}+x^{3}+\frac{3}{x}dx
integral of (1/3 x^2+1/2 x)	\int\:(\frac{1}{3}x^{2}+\frac{1}{2}x)dx
integral of x^2(1-x^3)^3	\int\:x^{2}(1-x^{3})^{3}dx
integral of sin(x/2)cos(nx)	\int\:\sin(\frac{x}{2})\cos(nx)dx
integral of ln(x/(1-x))	\int\:\ln(\frac{x}{1-x})dx
integral of sin^4(x/2)cos(x/2)	\int\:\sin^{4}(\frac{x}{2})\cos(\frac{x}{2})dx
integral of (tan(x)sec(x))	\int\:(\tan(x)\sec(x))dx
integral of (x^2+cos(x))/(x^3+3sin(x))	\int\:\frac{x^{2}+\cos(x)}{x^{3}+3\sin(x)}dx
integral of xln(4)	\int\:x\ln(4)dx
integral of 1/(8sin^2(x)cos(x))	\int\:\frac{1}{8\sin^{2}(x)\cos(x)}dx

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