New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Indefinite Integrals question

2008 · Shift 0 · Q37

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2008 · Shift 0 · Q37

Indefinite Integrals question

2008 · Shift 0 · Q37

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

The value of

\sqrt 2 \int {{{\sin xdx} \over {\sin \left( {x - {\pi \over 4}} \right)}}}

is

A
$\,x + \log \,\left| {\,\cos \left( {x - {\pi \over 4}} \right)\,} \right| + c$
B
$\,x - \log \,\left| {\,\sin \left( {x - {\pi \over 4}} \right)\,} \right| + c$
C
$\,x + \log \,\left| {\,\sin \left( {x - {\pi \over 4}} \right)\,} \right| + c$
D
$\,x - \log \,\left| {\,\cos \left( {x - {\pi \over 4}} \right)\,} \right| + c$

More from Indefinite Integrals

$\int \frac{d x}{c o s x + 3 s i n x}$ equals2007 · MCQ
$\int {\frac{( l o g x - 1 )}{1 + ( l o g x ) ^{2}}}^{2} d x$ is equal to2005 · MCQ
If $\int \frac{s i n x}{s i n ( x - α )} d x = A x + B lo g sin (x - α), + C,$ then value of $(A, B)$ is2004 · MCQ
$\int \frac{d x}{c o s x - s i n x}$ is equal to2004 · MCQ
$Let f (x) = \int x^{3} 3 - x^{2} d x . If 5 f (2) = - 4, then f (1) is equal to$ 2025 · MCQ
If $\int \frac{( 1 + x ^{2} + x ) ^{10}}{( 1 + x ^{2} - x ) ^{9}} d x = \frac{1}{m} ((1 + x^{2} + x)^{n} (n 1 + x^{2} - x)) + C$ where C is the…2025 · Numerical
If $\int (\frac{1}{x} + \frac{1}{x ^{3}}) (23 3 x^{- 24} + x^{- 26}) d x = - \frac{α}{3 ( α + 1 )} (3 x^{β} + x^{γ})^{\frac{α + 1}{α}} + C, x > 0, (α, β, γ \in Z)$ ,…2025 · Numerical
If $\int e^{x} (\frac{x s i n ^{- 1} x}{1 - x ^{2}} + \frac{s i n ^{- 1} x}{( 1 - x ^{2} ) ^{3/2}} + \frac{x}{1 - x ^{2}}) d x = g (x) + C$ , where C is the constant of integration, then $g (\frac{1}{2})$ …2025 · MCQ