JEE Main Mathematics: Calculus (Integration) Practice Questions
13 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.
- Q1.Evaluate the definite integral of 1 from 0 to 5 with respect to x.Easy
- Q2.Evaluate the integral of 1 divided by x with respect to x.Easy
- Q3.Evaluate the integral of x squared with respect to x.Easy
- Q4.What is the integral of e to the power of x with respect to x?Easy
- Q5.What is the integral of sine of x with respect to x?Easy
- Q6.Evaluate the integral of x squared times e to the power of x cubed dx.Medium
- Q7.Evaluate the integral of x times e to the power of x dx.Medium
- Q8.Evaluate the integral of 1 divided by x squared plus 4 dx.Medium
- Q9.Find the value of the definite integral from 0 to pi over 2 of sin squared x dx.Medium
- Q10.Evaluate the definite integral of x squared times e to the power of x divided by the quantity x plus 2 squared from 0 to 1.Hard
- Q11.Find the value of the integral from 0 to infinity of dx divided by (x squared plus a squared) times (x squared plus b squared).Hard
- Q12.Evaluate the integral of dx divided by the quantity 1 plus x to the power of 4.Hard
- Q13.Evaluate the integral from 0 to 1 of ln(1+x) divided by 1+x squared.Hard
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