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Evaluate the following: underset(0)overs...

Evaluate the following: `underset(0)overset(pi//2)intsin^3x dx`

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underset0 overset(pi//2)int sin^2x dx .

MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. Evaluate the following: underset(0)overset(pi//2)intsin^2x dx

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  2. Evaluate the following: underset(0)overset(pi/2)intcos^2x dx

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  3. Evaluate the following: underset(0)overset(pi//2)intsin^3x dx

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  4. Evaluate the following: underset(0)overset(pi)int(sin^2(x/2)-cos^2(x/2...

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  5. Evaluate the following: underset(0)overset(pi//2)int(sin^2x)/((1+cosx)...

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  6. Evaluate the following: underset(0)overset(1)int(xe^x+sin(pix)/(4))dx

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  7. Evaluate the following: underset(0)overset(1)int(dx)/(1+x^2)

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  8. Evaluate the following integrals: underset(2)overset(3)int(x)/(x^2-1)...

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  9. Evaluate the following: underset(1)overset(2)int(5x^2)/(x^2+4x+3)dx

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  10. Evaluate the following: underset(1)overset(3)int(3x)/(9x^2-1)dx

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  11. Evaluate the following: underset(2)overset(3)int(x)/(x^2+1)dx

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  12. Evaluate the following: underset(0)overset(1)int(xe^x+sin(pix)/(4))dx

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  13. Evaluate the following: underset(0)overset(k)int(dx)/(2+8x^2)= pi/16, ...

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  14. Prove that following: underset(0)overset(1)int xe^x dx = 1

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  15. Prove that following: underset(0)overset(1)inttan^-1 x dx = pi/4 - 1/2...

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  16. Prove that following: underset(0)overset(a)int3x^2dx=8, find the value...

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  17. Evaluate the following integrals. underset(0)overset(pi//4)inttan^4 ...

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  18. Evaluate the following integrals. underset(0)overset(pi//2)intx^2 si...

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  19. Evaluate the following integrals. underset(0)overset(pi//2)int cos 2...

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  20. Evaluate the following integrals. underset(-1)overset(1)int(x+1)/(x^...

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