Evaluate the following as limit of sum :...

Evaluate the following as limit of sum :
`int_(-1)^(2)(7x-5)dx`.

Text Solution

Verified by Experts

The correct Answer is:

`(-9)/(2)`

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ARIHANT PUBLICATION-INTEGRATION -PART V (QUESTIONS FOR PRACTICE) (4 MARK)

Evaluate the following as limit of sum : int(-1)^(2)(7x-5)dx.
07:24
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Evaluate the following : int(2)^(4)(x)^2dx.
01:49
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Evaluate the following as limit of sum : int(1)^(3)(3x^(2)+1)dx.
11:08
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Prove that int(1)^(3)(1)/(x^(2)(x+1))dx=(2)/(3)+"log"(2)/(3).
08:40
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Evaluate int(1)^(2)(dx)/(sqrt((x-1)(2-x))).
05:13
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Evaluate the following integrals : int(0)^(1)x*sqrt((1-x^(2))/(1+x^(...
07:05
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Evaluate the following integrals : int(pi//3)^(pi//2)(sqrt((1+cosx))...
03:47
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Evaluate the following integrals : int(0)^(pi//4)(dx)/(cos^(3)xsqrt(...
06:24
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Evaluate the following integrals : int(0)^(1//sqrt(2))(sin^(-1)x)/((...
07:57
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Evaluate the following integrals : int(tan^(-1)x) dx.
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Evaluate the following integrals : int(0)^(1)x^(5)(4-x^(2))dx.
04:27
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Evaluate the following integrals : int(0)^(1)x^(7)sqrt((1+x^(2))/(1-...
Text Solution
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Evaluate the following integrals : int(0)^(a)x^(2)(a^(2)-x^(2))dx
03:27
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If f is an even function and int(-2)^(0)f(t)dt=(3)/(2), then find int(...
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int(0)^(2)(x-[x])dx, where [x] is the greatest integer of x.
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Evaluate the following integrals : int(-1)^(2){|x|+[x]}dx
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Evaluate the following integrals : int(0)^(1)2x(1-x)^(n)dx.
03:43
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Evaluate the following integrals : int(0)^(2)xsqrt(2-x)dx.
05:36
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Evaluate the following integrals : int(0)^(pi//2)(tan^(7)x)/(cot^(7)...
03:28
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Evaluate the following integrals : int(0)^(pi//2)(dx)/(1+sqrt(tanx))
02:19
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