JEE Advanced Mathematics: Calculus (Integration) Practice Questions

12 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$Evaluate the indefinite integral of e raised to the power of x with respect to x.$
Easy
Q2.
$Evaluate the indefinite integral of x squared with respect to x.$
Easy
Q3.
$Evaluate the definite integral of 2x from 0 to 1 with respect to x.$
Easy
Q4.
$Evaluate the indefinite integral of 1 divided by x with respect to x.$
Easy
Q5.
$Find the value of the integral of 1 divided by x squared plus 4x plus 13 from negative infinity to infinity.$
Medium
Q6.
$Calculate the integral of sin cubed x from 0 to pi divided by 2.$
Medium
Q7.
$Determine the value of the integral of x divided by 1 plus x to the power of 4 from 0 to infinity.$
Medium
Q8.
$Evaluate the definite integral of x squared times e to the power of x from 0 to 1.$
Medium
Q9.
$Find the integral of 1 divided by the square root of 1 minus x squared from 0 to 1 divided by square root of 2.$
Medium
Q10.
$I f I_{n} = in t e g r a l f r o m 0 t o 1 o f x^{n} e^{x} d x, t h e n I_{n} + n I_{n - 1} i se q u a l t o :$
Hard
Q11.
$Let f be a continuous function such that f(x) + f(1-x) = 2 for all x in [0, 1]. The value of the integral from 0 to 1 of f(x) dx is equal to:$
Hard
Q12.
$The value of the integral from 0 to pi/2 of ln(sin x) dx is:$
Hard

Track your progress on Calculus (Integration)

Sign up free to attempt these questions, score yourself, and see which topics need work.

Start Practising Free →

Calculus (Integration) — JEE Advanced Mathematics Practice Questions with Solutions | SolveGini