Podcast
Questions and Answers
What is the value of the integral $\int \sec^2 \sqrt{x} \sqrt{x} dx$?
What is the value of the integral $\int \sec^2 \sqrt{x} \sqrt{x} dx$?
$\frac{4}{3} \sqrt{x}^3 + C$
Evaluate the integral $\int 2 e^{1/x} dx$.
Evaluate the integral $\int 2 e^{1/x} dx$.
$-2e^{1/x} + C$
What is the value of the integral $\int \frac{3}{x} dx$?
What is the value of the integral $\int \frac{3}{x} dx$?
$3 \ln |x| + C$
Evaluate the integral $\int \sqrt{x} \sqrt{4 - x} dx$.
Evaluate the integral $\int \sqrt{x} \sqrt{4 - x} dx$.
Signup and view all the answers
What is the value of the integral $\int x e^{-x} \cos x dx$?
What is the value of the integral $\int x e^{-x} \cos x dx$?
Signup and view all the answers
Evaluate the integral $\int \sin^4 x \cos x dx$.
Evaluate the integral $\int \sin^4 x \cos x dx$.
Signup and view all the answers
What is the value of the integral $\int \frac{dx}{\cos^2 x \tan x}$?
What is the value of the integral $\int \frac{dx}{\cos^2 x \tan x}$?
Signup and view all the answers
Evaluate the integral $\int \frac{dx}{9 + \sin^4 4x}$.
Evaluate the integral $\int \frac{dx}{9 + \sin^4 4x}$.
Signup and view all the answers
What is the value of the integral $\int \frac{x}{e^x + 4} dx$?
What is the value of the integral $\int \frac{x}{e^x + 4} dx$?
Signup and view all the answers
Evaluate the integral $\int \frac{x}{(e^x + 4)^4} dx$.
Evaluate the integral $\int \frac{x}{(e^x + 4)^4} dx$.
Signup and view all the answers