INTEGRAL CALCULUS NCERT PROBLEM

this is 0 to pie

this is indefinite

8 Answers

62
Lokesh Verma ·

think of tan [(x+a)-(x-b)] = tan (b-a)

1
saurabh singhal ·

can u solve both for me please

1
shubham_pandey Pandey ·

can u please type the questions the format of entering the text is hardly readable

1
saurabh singhal ·

1 ∫ log(1 + sinx)dx limit is 0 to pie

2. ∫1 - tan(x +a)tan(x + b)dx

1
saurabh singhal ·

anyone please try these 2 questions

1
Euclid ·

1) try using by-parts....

1
saurabh singhal ·

anyone please solve

49
Subhomoy Bakshi ·

\int log\left(1+sin\, x \right)dx=log\left(1+sin\,x \right)\int dx-\int \frac{cos\,x}{1+sin\,x}.xdx={log\left(1+sin\,x \right)\int dx-x\int \frac{cos\,x}{1+sin\,x}dx+\int \left\{ \int \frac{cos\,x}{1+sin\,x}dx \right\}dx}

now that can be done! :)

\int \frac{cos\,x}{1+sin\,x}dx = \int \frac{1-six\,x}{cos\,x}dx = \int \left(sec\,x-tan\,x)dx=log\left|sec\,x+tan\,x \right|-log|sec\,x|=log\left|\frac{sec\,x+tan\,x}{sec\,x} \right|=log\left|1+sin\,x \right|

oops!!! ;)

that leads to nowhere! :(

:P :P

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