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Evaluate int(0)^(2)(2x^2+x+1)dx...

Evaluate `int_(0)^(2)(2x^2+x+1)dx`

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The correct Answer is:
A
`int_(0)^(pi//2) sinx dx=(((pi)/2-0))/4(sin 0+"sin"(pi)/2+2"sin"(pi)/4)`
`=(pi)/4(1+sqrt(2))`
`=(pi)/8(1+sqrt(2))`
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CENGAGE-DEFINITE INTEGRATION -Exercise (Comprehension)
  1. If f(x) is a function satisfying f(x+a)+f(x)=0 for all x in R and pos...

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  2. Evaluate int(0)^(2)(x^2+x+2)dx

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  3. Evaluating integrals dependent on a parameter: Differentiate I with ...

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  4. Evaluate int(2)^(3)(x^2+1)dx

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  5. Evaluating integrals dependent on a parameter: Differentiate I with ...

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  6. Evaluating integrals dependent on a parameter: Differentiate I with ...

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  7. f(x)=sinx+int(-pi//2)^(pi//2)(sinx+tcosx)f(t)dt The range of f(x) is

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  8. f(x)=sinx+int(-pi//2)^(pi//2)(sinx+tcosx)f(t)dt f(x) is not invertibl...

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  9. f(x)=sinx+int(-pi//2)^(pi//2)(sinx+tcosx)f(t)dt The value of int(0)^(...

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  10. Let u=int0^oo (dx)/(x^4+7x^2+1 and v=int0^oo (x^2dx)/(x^4+7x^2+1) then

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  11. Let u=int0^oo (dx)/(x^4+7x^2+1 and v=int0^oo (x^2dx)/(x^4+7x^2+1) then

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  12. If f(x)=int0^1(dt)/(1+|x-t|),t h e nf^(prime)(1/2)i se q u a lto 0 (b...

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  13. If f(x)=int(0)^(1)(dt)/(1+|x-t|),x epsilonR Which of the following ...

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  14. Let f be a differentiable function satisfying int(0)^(f(x))f^(-1)(t)d...

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  15. Let f be a differentiable function satisfying int(0)^(f(x))f^(-1)(t)d...

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  16. If U(n)=int(0)^(pi)(1-cosnx)/(1-cosx)dx where n is positive integer of...

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  17. If Un=int0^pi(1-cosnx)/(1-cosx)dx , where n is positive integer or zer...

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  18. Evaluate int(0)^(2)(2x^2+x+1)dx

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  19. Evaluate int(0)^(4)(x^2+2x+8)dx

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  20. Let the definite integral be defined by the formula int(a)^(b)f(x)dx=(...

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