New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Definite Integration question

2019 · 12 Jan · Shift 1 · Q25

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

PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 12 Jan · Shift 1 · Q25

Definite Integration question

2019 · 12 Jan · Shift 1 · Q25

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let f and g be continuous functions on [0, a] such that f(x) = f(a – x) and g(x) + g(a – x) = 4, then

\int\limits_0^a \,

f(x) g(x) dx is equal to :

A
4 $\int\limits_0^a \,$ f(x)dx
B
$-$ 3 $\int\limits_0^a \,$ f(x)dx
C
$\int\limits_0^a \,$ f(x)dx
D
2 $\int\limits_0^a \,$ f(x)dx

More from Definite Integration

The integral $1 \int e {(\frac{x}{e})^{2 x} - (\frac{e}{x})^{x}}$ loge x dx is equal to :2019 · MCQ
The value of the integral $- \frac{π}{2} \int \frac{π}{2} sin^{4} x (1 + lo g (\frac{2 + s i n x}{2 - s i n x})) d x$ is :2018 · MCQ
If $I_{1} = \int_{0}^{1} e^{- x} cos^{2} x d x; I_{2} = \int_{0}^{1} e^{- x^{2}} cos^{2} x d x$ and $I_{3} = \int_{0}^{1} e^{- x^{3}} d x;$ then2018 · MCQ
The value of integral $\int_{\frac{π}{4}}^{\frac{3 π}{4}} \frac{x}{1 + s i n x} d x$ is :2018 · MCQ
If $f (x) = 0 \int x t (sin x - sin t) d t$ then :2018 · MCQ
The value of $- π /2 \int π /2 \frac{s i n ^{2} x}{1 + 2 ^{x}} d x$ is2018 · MCQ
The integral $\int_{\frac{π}{12}}^{\frac{π}{4}} \frac{8 c o s 2 x}{( t a n x + c o t x ) ^{3}} d x$ equals :2017 · MCQ
If $1 \int 2 \frac{d x}{( x ^{2} - 2 x + 4 ) ^{\frac{3}{2}}} = \frac{k}{k + 5},$ then k is equal to :2017 · MCQ