-3 2 x-4-x-1-x -x-7 d x

The correct option is ∫ ( 3 sec^2 x 4/x+1/x√(x) 7 )dx ∫ 3 sec^2x dx 4/xdx + 1/x^3/2dx 7 dx 3 tan x 4 ln x + x^ 3/2+1/ 3/2+1 7x+c 3 tan x 4 ln x 2/ ...

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Byju's Answer

Standard XII

Mathematics

Relation between Inverses of Trigonometric Functions and Their Reciprocal Functions

∫3 2 x-4/x+1/...

Question

$\int (3 s e c^{2} x - \frac{4}{x} + \frac{1}{x \sqrt{x}} - 7) d x$

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Solution

$\int (3 s e c^{2} x - \frac{4}{x} + \frac{1}{x \sqrt{x}} - 7) d x$
$\int 3 s e c^{2} x d x - \frac{4}{x} d x + \frac{1}{x^{\frac{3}{2}}} d x - 7 d x$
$3 t a n x - 4 l n x + \frac{x^{- \frac{3}{2} + 1}}{- \frac{3}{2} + 1} - 7 x + c$
$3 t a n x - 4 l n x - \frac{2}{x \sqrt{x}} - 7 x + c$

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\int ({3 sec}^{2} x - \frac{4}{x} + \frac{1}{x \sqrt{x}} - 7) d x

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∫(3sec2x−4x+1x√x−7)dx

∫(3sec2x−4x+1x√x−7)dx ∫3 sec2xdx−4xdx+1x32dx−7dx 3tanx−4lnx+x−32+1−32+1−7x+c 3tanx−4lnx−2x√x−7x+c

$\int (3 s e c^{2} x - \frac{4}{x} + \frac{1}{x \sqrt{x}} - 7) d x$

$\int (3 s e c^{2} x - \frac{4}{x} + \frac{1}{x \sqrt{x}} - 7) d x$
$\int 3 s e c^{2} x d x - \frac{4}{x} d x + \frac{1}{x^{\frac{3}{2}}} d x - 7 d x$
$3 t a n x - 4 l n x + \frac{x^{- \frac{3}{2} + 1}}{- \frac{3}{2} + 1} - 7 x + c$
$3 t a n x - 4 l n x - \frac{2}{x \sqrt{x}} - 7 x + c$