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The definite integral
$\int_{- 2}^{0} (x^{3} + 3 x^{2} + 3 x + 3 + (x + 1) \cos (x + 1)) d x$ equals

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detailed solution

Correct option is C

I=∫−20 x3+3x2+3x+3+(x+1)cos⁡(x+1)dx=∫−20 (x+1)3+2+(x+1)cos⁡(x+1)dxPut x + 1 = t therefore,I=∫−11 t3+2+tcos⁡tdt=4∵t3+tcos⁡t is an odd function .

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The definite integral∫−20 x3+3x2+3x+3+(x+1)cos⁡(x+1)dx equals

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

The definite integral
$\int_{- 2}^{0} (x^{3} + 3 x^{2} + 3 x + 3 + (x + 1) \cos (x + 1)) d x$ equals