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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
- Evaluate the following integrals as limit of sums: int0^2(x+4)dx (...
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- Evaluate int1^4(x^2-\ x)\ dx as a limit of sums.
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- Evaluate: inta^bsinx dx using limit of sum
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- Mark the correct alternative in each of the following: int0^1sqrt(x...
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- Evaluate : int0^pi1/(1+sinx)dx
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- If int0^asqrt(x)dx=2aint0^(pi//2)sin^3xdx find the value of inte...
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- Evaluate: (i)int0^4 1/(sqrt(x^2+2x+3))dx (ii) int0^a1/(sqrt(a x-x...
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- If int0^1(3x^2+2x+k)dx=0, find the value of kdot
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- If int1^a (3x^2 + 2x +1)dx = 11 then the value of a is
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- If inta^b x^3dx=0, and If inta^b x^2dx=2/3, find a and b.
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- Evaluate: int0^(pi//2)sqrt(1-cos2x)dxdot
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- Evaluate: int0^(pi//2)sin^4xdx
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- Evaluate: int0^(pi//4)sqrt(1+sin2x)dx (ii) int0^(pi//4)sqrt(1-sin2x...
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- Evaluate: int(pi//4)^(pi//2)sqrt(1-sin2x)dx
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- Evaluate the following integrals: (1-35) int(-2)^2(3x^3+2|x|+1)/(x^...
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- Evaluate the following integrals: (1-35) int0^pixsinx cos^2x dx
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- Show that: int0^(pi//2)f(sin2x)sinxdx=sqrt(2)int0^(pi//4)f(cos2x)co...
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- For x >0,l e tf(x)=int1^x((log)e t)/(1+t)dtdot Find the function...
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- Evaluate the following integrals: (1-35) int0^(pi//2)(sin^n x)/(sin...
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- Prove that: int0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx= pi^2
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