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In question like this always put x= e t and the question will jsut become very simple.

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simplifying the other I we also get Now adding both the I’s we get Now this integral is easily solved

This is a tricky question First put x = -x and add Now put 2x = t which implies, dx = dt/2 Now refer to the following steps to solve for the simplified integral

Using the method of by parts ,

From the properties of definite integrals ,we have ….....................(1) From the above property , we get ….........................(2) Adding (1) and (2) we get

is of the form 0/0 . Using L’Hospital rule ,differentiate numerator and denominator with respect to x. We get

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Put tanx = t , we get sec^2x dx = dt

sudarshan integration is defined as a way of adding slices to find the whole. Integration can be used to find areas, volumes, central points and many useful things. But it is easiest to start with...

integral mod x is ½ x^2 sinx this is the answer of integral of modx......................................................................

In this section we need to take a look at a couple of different kinds of integrals. Both of these are examples of integrals that are called Improper Integrals .

hey take tan(x/2)=t, then sinx= 2t/(1+t^2) and cosx= (1-t^2)/ (1+t^2) and dx=2dt/(1+t^2), ur integral will become ∫ 2dt/(2t*(3+2(1-t^2)))= ∫ dt/(t(5-2t^2)) . This u can solve by partial fraction...

where is the image......................................................................................???????????????????????????????????????????????///

hey can u specify the qs. is it 1+cos4x/(tanx.cotx)dx, or (1+cos4x).cotx/tanx dx.... If it is the 1 st one the it is simple, as tanx.cotx is 1 and u get ∫(1 + cos4x) dx=x+sin4x/4 +c, if it is 2 nd...

For Physics Problems: “IIT JEE Physics (1978-2015:38 Years) Topic-wise Complete Solutions”. The mechanics, waves and optics are covered in volume 1. Second volume covers heat and thermodynamics,...

write sec^3x as sec^x*secx and then integrate by using integration by parts ….................. take the first functions as secx and second functions as sec^x hence the integral will evaluate to...

Natural logarithms are different than common logarithms . While the base of a common logarithm is 10, the base of a natural logarithm is the special number e. Although this looks like a variable, it...

I would only give the hints as you could do these questions For qts.4 :: between interval (0,1) integral is zero as between interval (1,2) integral is 3 as For qts5:: IN use and interval (0,{x})...

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