Помогите решить интегралы пожалуйста,можно не все,заранее спасибо
2. 1/3ln|x^3+1|
3.
1/8ln|(4+x)/(4-x)|
4.
x^4-2x^3+x^2+x
16-16+4+2-(1-2+1+1)=6-(1)=5
5.
2sqrt(1+2x^2)
2sqrt(3)-2=2(sqrt(3)-1)
1)....=
4)......=ex]-=5
5)......=(
Вроде так(((((((
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Verified answer
1. 1/2e^2x+3x2. 1/3ln|x^3+1|
3.
1/8ln|(4+x)/(4-x)|
4.
x^4-2x^3+x^2+x
16-16+4+2-(1-2+1+1)=6-(1)=5
5.
2sqrt(1+2x^2)
2sqrt(3)-2=2(sqrt(3)-1)
1)....=![\frac{e^{2x}}{2}+3x \frac{e^{2x}}{2}+3x](https://tex.z-dn.net/?f=%5Cfrac%7Be%5E%7B2x%7D%7D%7B2%7D%2B3x)
4)......=
ex]-
=5
5)......=(![(\frac{4x^22\sqrt{1+2x^2}}{2*2x^2})|_0^1=(2\sqrt{1+2x^2})|_0^1=2\sqrt{3}-2 (\frac{4x^22\sqrt{1+2x^2}}{2*2x^2})|_0^1=(2\sqrt{1+2x^2})|_0^1=2\sqrt{3}-2](https://tex.z-dn.net/?f=%28%5Cfrac%7B4x%5E22%5Csqrt%7B1%2B2x%5E2%7D%7D%7B2%2A2x%5E2%7D%29%7C_0%5E1%3D%282%5Csqrt%7B1%2B2x%5E2%7D%29%7C_0%5E1%3D2%5Csqrt%7B3%7D-2)
Вроде так(((((((