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Evaluate the following integrals: int...

Evaluate the following integrals: `int_0^(pi//4)|cos2x|dx`

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`I=int_0^(pi//4)|cos2x|dx`
`I=int_0^(pi//4) cos2x dx`
`I=1/2 (sin2x)_0^(pi//4)`
`I=1/2[sin(2(pi/4))-sin2(0)]`
`I=1/2[sin(pi/2)-sin0]`
`I=1/2[1-0]`
`I=1/2`
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RD SHARMA-DEFINITE INTEGRALS-Solved Examples And Exercises
  1. int0^1d/(dx){sin^(-1)((2x)/(1+x^2))}dx is equal to 0 (b) pi (c) ...

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  2. Evaluate the following integrals: int(-a)^a(xe^(x^2))/(1+x^2)dx

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  3. Evaluate the following integrals: int0^(pi//4)|cos2x|dx

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  4. Evaluate the following integrals: int-5^0f(x)dx ,w h e r ef(x)=|x|+|x+...

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  5. Evaluate the following definite integrals (1-58): int1^2 1/(sqrt((x...

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  6. Evaluate the following integrals: int0^picosx|cosx|dx

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  7. Let f(x)=x-[x], for ever real number x ,w h e r e[x] is the g...

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  8. Evaluate: int0^(sqrt(3))1/(1+x^2)sin^(-1)((2x)/(1+x^2))dx

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  9. Evaluate the following integrals: int0^9f(x)dx ,w h e r ef(x)= {s...

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  10. Evaluate the following integrals: int0^2|x^2-3x+2|dx

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  11. Evaluate the following integrals: int0^1((1-x)/(1+x))dx

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  12. Prove that: inta^b(f(x))/(f(x)+f(a+b-x))dx=(b-a)/2

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  13. Evaluate of each of the following integrals (1-15): int0^5root(3)(...

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  14. Evaluate of each of the following integrals (1-15): int(-pi//4)^(p...

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  15. Evaluate of each of the following integrals (1-15): int(-a)^a1/(1+a^...

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  16. Evalaute int(pi//6)^(pi//3)(sqrt((sinx))dx)/(sqrt((sinx))+sqrt((cosx))...

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  17. Evaluate of each of the following integrals (1-15): int0^(2pi)"log...

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  18. Evaluate: int(-pi//4)^(pi//4)(sec^2x)/(e^(2x)-1)dx

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  19. Evaluate: int(-pi//4)^(pi//4)(tan^2x)/(1+e^x)dx

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  20. Evaluate: int(-pi//2)^(pi//2)(xsinx)/(e^x+1)dx

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