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f(x)=4/((x^2+2x+3)^(5/2))−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

∫(4(x2+2x+3)52)dx\int\left(\frac{4}{\left(x^2+2x+3\right)^{\frac{5}{2}}}\right)dx

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Final answer to the exercise

82(x+1)3(2)5((x+1)2+2)3+82(2)5(x+1)3(x+1)2+2+C0\frac{8\sqrt{2}\left(x+1\right)}{3\sqrt{\left(2\right)^{5}}\sqrt{\left(\left(x+1\right)^2+2\right)^{3}}}+\frac{\frac{8\sqrt{2}}{\sqrt{\left(2\right)^{5}}}\left(x+1\right)}{3\sqrt{\left(x+1\right)^2+2}}+C_0

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∫(4(x2+2x+3)52  )dx
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