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  4. None of the above

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Option 2 :
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Concept:

Calculation: 

I = 

= 

= 

= 

= 

= 

= 

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Latest Army Havildar SAC Updates

Last updated on Jun 11, 2025

-> The Indian Army has released the official notification for the post of Indian Army Havildar SAC (Surveyor Automated Cartographer).

-> Interested candidates had applied online from 13th March to 25th April 2025.

-> Candidates within the age of 25 years having specific education qualifications are eligible to apply for the exam.

-> The candidates must go through the Indian Army Havildar SAC Eligibility Criteria to know about the required qualification in detail. 

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More Definite Integrals Questions

Q1.What is I equal to?
Q2.What is \(\rm \int_0^{\pi/2}\frac{d(x)}{g(x)}\) equal to
Q3.What is \(\rm \int_h^3f(x)dx\) equal to
Q4.What is \(\rm \int_0^2f(x)dx\) equal to
Q5.The value of the integral \(\int_{-1}^{1} \int_{0}^{\sqrt{1-x^{2}}}\left(x^{2}+y^{2}\right)^{\frac{3}{2}} d y d x\) is:
Q6.Let \(I_{1}=\int_{0}^{1} \frac{\operatorname{cosec} x}{x} d x\) and \(I_{2}=\int_{0}^{\frac{\pi}{2}} \frac{\sin ^{m} x}{x^{n}} d x\) then :
Q7.The value of the integral, \(\int_1^3\left[x^2-2 x-2\right] d x\) where [x] denotes the greatest integer less than or equal to x , is :
Q8.For any real number x, let [x] denote the largest integer less than equal to x. Let f be a real valued function defined on the interval [–10, 10] by \(f(x)=\left\{\begin{array}{c} x-[x], \text { if }[x] \text { is odd } \\ 1+[x]-x, \text { if }[x] \text { is even } \end{array}\right.\) Then the value of \(\frac{\pi^2}{10} \int_{-10}^{10} f(x) \cos \pi x d x\) is
Q9.The value of \(\rm \int_{-\pi}^\pi \frac{2y(1+\sin y)}{1+\cos^2y}dy\) is:
Q10.The integral \(\rm \int_0^{\frac{\pi}{4}}\frac{136\sin x}{3\sin x+5\cos x}\) is equal to:

More Integral Calculus Questions

Q1.What is U(x) V(x) equal to? 
Q2.What is |U2(x) - V2(x)| equal to?
Q3.What is I equal to?
Q4.What is \(\rm \int_0^{\pi/2}\frac{d(x)}{g(x)}\) equal to
Q5.What is \(\rm \int_{-\pi}^\pi g(t)dt\) equal to
Q6.Consider the following statements : I. f(t) is an odd function. Il. g(t) is an odd function. Which of the statements given above is/are correct?  
Q7.What is \(\rm \int_h^3f(x)dx\) equal to
Q8.What is \(\rm \int_0^2f(x)dx\) equal to
Q9.What is the area of the parabola bounded by the latus rectum? 
Q10.What is the value of k? 
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More Mathematics Questions

Q1.If cosec θ + cot θ = p, then \(\rm\frac{p^2-1}{p^2+1}\) equal:
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