Basic Indefinite Integration Formulas

00:00 4 marks

Evaluate the following indefinite integrals:

(i) $\int x^3\,dx$
(ii) $\int e^x\,dx$

Provide your answers in simplest form, including the constant of integration.

Hint Hint

Hint

Recall the power rule for integration and the basic formula for the exponential function.

Answer Answer
Mark Scheme Mark Scheme
Explanation Explanation
Common Errors Common Errors
Real World Context Real World Context
Focus Focus
Formula Booklet

Answer Answer

Complete Answer

For (i): $\int x^3\,dx = \frac{x^4}{4} + C$; for (ii): $\int e^x\,dx = e^x + C$

Mark Scheme Mark Scheme

Answer Explanation Answer Explanation

Common Errors Common Errors

Focus Focus

Formula Booklet

Math Editor

Welcome Back!

Create your account

Build skills for today, tomorrow, and beyond. Education to future-proof your career.

By clicking "Sign in," you agree to our Terms of Use and our Privacy Policy

Hint: The password should be at least eight characters long. To make it stronger, use upper and lower case letters, numbers, and symbols like ! " ? $ % ^ & ).