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Prove that : underset(0)overset(2a)intf(...

Prove that : `underset(0)overset(2a)intf(x) dx = underset(0)overset(2a)intf(2a-x)dx`

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For each of the following functions f(x), verify that: underset(0)overset(0)intf(x) dx = underset(0)overset(1)intf(x) dx + underset(1)overset(2)intf(x) dx: f(x) = x^2+2

For each of the following functions f(x), verify that: underset(0)overset(0)intf(x) dx = underset(0)overset(1)intf(x) dx + underset(1)overset(2)intf(x) dx: f(x) = x+2

For each of the following functions f(x), verify that: underset(0)overset(0)intf(x) dx = underset(0)overset(1)intf(x) dx + underset(1)overset(2)intf(x) dx:f(x) = e^x

For each of the following paris of function f(x) and g(x), verify that: underset(0)overset(1)int[f(x)+g(x)]dx = underset(0)overset(1)intf(x)dx+underset(0)overset(1)intg(x)dx: f(x) = 1, g (x) = x^2

For each of the following paris of function f(x) and g(x), verify that: underset(0)overset(1)int[f(x)+g(x)]dx = underset(0)overset(1)intf(x)dx+underset(0)overset(1)intg(x)dx: f(x) = e^x,g(x) = 1

Evaluate: underset(0)overset(2)int(4-x^2)dx

underset0overset2int xsqrt(x+2)dx

Prove that following: underset(0)overset(1)int|x-5|dx

Prove that following: underset(0)overset(4)int|x-1| dx

Evaluate: underset(2)overset(5)int(x^2+x)dx

PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. Prove that: underset0overset(pi/4)int (sqrttanx+sqrtcotx)dx=pi/sqrt2

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  2. Prove that underset0oversetaint f(x)dx=underset0overseta int f(a-x)dx.

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  3. Prove that : underset(0)overset(2a)intf(x) dx = underset(0)overset(2a)...

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  4. By using properties of definite integrals, evaluate the following: und...

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  5. By using properties of definite integrals, evaluate the following: und...

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  6. By using properties of definite integrals, evaluate the following: und...

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  7. By using properties of definite integrals, evaluate the following: und...

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  8. Evaluate the following: underset(-pi//4)overset(pi//4)int|sinx|dx

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  9. Evaluate the following: underset(-pi//2)overset(pi//2)int|sinx|dx

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  10. Evaluate the following: underset(-pi//4)overset(pi//4)intsin^2xdx

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  11. By using properties of definite integrals, evaluate the following: und...

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  12. By using properties of definite integrals, evaluate the following: und...

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  13. By using properties of definite integrals, evaluate the following: und...

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  14. By using properties of definite integrals, evaluate the following: und...

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  15. By using properties of definite integrals, evaluate the following: und...

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  16. By using properties of definite integrals, evaluate the following: und...

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  17. By using properties of definite integrals, evaluate the following: und...

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  18. Evaluate the following integrals: underset(0)overset(pi//2)int(sin^3...

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  19. Evaluate the following integrals: underset(0)overset(pi//2)int(sin^(...

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  20. Evaluate: underset(0)overset(pi//2)int(sinx)/(sinx+cosx)dx

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