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int(x^3+7x^2-5)dx...

`int(x^3+7x^2-5)dx`

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Find the following integrals. 1. int 3x^(7)dx 2. int 4 sqrt(x)dx 3. int(dx)/(sqrt(x)) 4. int(x^(3)-5x^(2)+7x-11)dx 5. int (root3(x)-(1)/(root3(x)))dx 6. int 3 xdx 7. int 5x^(2)dx 8. int(1)/(2)x^(3)dx 9. int0.4 x^(4)dx 10. int 12x^(3) dx 11. int 15t^(2)dt 12. int(dtheta)/(theta) 13. int(4x^(2)-5x+1)dx 14. int(3x^(4)-5x^(3))dx 15. intx(8x-(1)/(2))dx 16. int 6x^(2)(x^(2)+x)dx

If int(x^(3)+4x^(2)-7x+5)/(x+2)dx=(x^(3))/(3)+ax^(2)-11x+b log(x+2)+c, then (a, b)-=

Evaluate: (i) int(x^(3)-3x^(2)+5x-7+x^(2)a^(x))/(2x^(2))dx (ii) int(cos x)/(1+cos x)dx