Evaluate: ∫1+x2tan−1xdx

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Evaluate: {{{{}^{{-{1}}}{x}}}}{{{1}+{x}^{{2}}}}{.{d}{x}.}

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Evaluate: $\int \frac{tan ^{- 1} x}{1 + x ^{2}} d x$

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Practice questions from similar books

Question 1

The integral

\int \frac{sec ^{2} x}{( sec x + tan x ) ^{\frac{9}{2}}} d x

equals (for some arbitrary constant

K) ˙

- \frac{1}{( sec x + tan x ) ^{\frac{11}{2}}} {\frac{1}{11} - \frac{1}{7} (sec x + tan x)^{2}} + K

\frac{1}{( sec x + tan x ) ^{\frac{1}{11}}} {\frac{1}{11} - \frac{1}{7} (sec x + tan x)^{2}} + K

- \frac{1}{( sec x + tan x ) ^{\frac{11}{2}}} {\frac{1}{11} + \frac{1}{7} (sec x + tan x)^{2}} + K

\frac{1}{( sec x + tan x ) ^{\frac{11}{2}}} {\frac{1}{11} + \frac{1}{7} (sec x + tan x)^{2}} + K

View solution

Question 2

Evaluate:

\int_{2}^{3} \frac{1}{x} d x

View solution

Question 3

Let

f : R R

be a continuous odd function, which vanishes exactly at one point and

f (1) = \frac{1}{2} ˙

Suppose that

F (x) = \int_{- 1}^{x} f (t) d t f or a l l x \in [- 1, 2] a n d G (x) = \int_{- 1}^{x} t ∣ f (f (t)) ∣ d t f or a l l x \in [- 1, 2] \dot{I} \frac{f ( lim ) _{x 1} ( F ( x ) )}{G ( x )} = \frac{1}{14},

Then the value of

f (\frac{1}{2})

View solution

Question 4

Evaluate :

\int \frac{2 x tan ˙ ^{- 1} x}{1 + x ^{4}} dx

View solution

Question Text

Evaluate:

\int \frac{tan ^{- 1} x}{1 + x ^{2}} d x

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Evaluate: ∫1+x2tan−1x​dx

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Practice questions from similar books

Evaluate: $\int \frac{tan ^{- 1} x}{1 + x ^{2}} d x$