New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Indefinite Integrals question

2020 · 9 Jan · Shift 1 · Q23

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

PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2020 · 9 Jan · Shift 1 · Q23

Indefinite Integrals question

2020 · 9 Jan · Shift 1 · Q23

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

If ƒ'(x) = tan–1(secx + tanx),

- {\pi \over 2} \lt x \lt {\pi \over 2}

, and ƒ(0) = 0, then ƒ(1) is equal to :

A
${1 \over 4}$
B
${{\pi - 1} \over 4}$
C
${{\pi + 1} \over 4}$
D
${{\pi + 2} \over 4}$

More from Indefinite Integrals

The integral $\int \frac{d x}{( x + 4 ) ^{\frac{8}{7}} ( x - 3 ) ^{\frac{6}{7}}}$ is equal to : (where C is a constant of integration)2020 · MCQ
If $\int \frac{d θ}{c o s ^{2} θ ( t a n 2 θ + s e c 2 θ )} = λ tan θ + 2 lo g_{e} ∣ f (θ) ∣ + C$ where C is a constant of integration, then the ordered pair ( $λ$ …2020 · MCQ
$\int \frac{s i n \frac{5 x}{2}}{s i n \frac{x}{2}} d x$ is equal to (where c is a constant of integration)2019 · MCQ
If $\int \frac{d x}{x ^{3} ( 1 + x ^{6} ) ^{2/3}} = x f (x) (1 + x^{6})^{\frac{1}{3}} + C$ where C is a constant of integration, then the function ƒ(x) is equal to2019 · MCQ
The integral $\int se c^{2/3} x cose c^{4/3} x dx$ is equal to (Hence C is a constant of integration)2019 · MCQ
$\int e^{s e c x} (sec x tan x f (x) + sec x tan x + se x^{2} x) d x$ = esecxf(x) + C then a possible choice of f(x) is :-2019 · MCQ
For x2 $e$ n $π$ + 1, n $\in$ N (the set of natural numbers), the integral $\int x \frac{2 s i n ( x ^{2} - 1 ) - s i n 2 ( x ^{2} - 1 )}{2 s i n ( x ^{2} - 1 ) + s i n 2 ( x ^{2} - 1 )} d x$ is equal to : (where c is a constant of integration)2019 · MCQ
If $f (x) = \int \frac{5 x ^{8} + 7 x ^{6}}{( x ^{2} + 1 + 2 x ^{7} ) ^{2}} d x, (x \geq 0), f (0) = 0,$ then the value of $f (1)$ is :2019 · MCQ