Integration U-substitution - Trigonometric Practice Problems Online

Evaluate the integral \(\displaystyle{ \int { \frac{10x}{\sqrt{3-2x-x^2}} dx }} ,\) using \(C\) as the constant of integration.

Evaluate the integral \(\displaystyle{ \int { \frac { 47 \sqrt{9-x^2} }{x^2 } dx } },\) using \(C\) as the constant of integration.

\[ -\frac{ 47 \sqrt{ 9-x^2 } }{x} - 47\cot^{-1} \left( \frac{x}{3} \right) + C \] \[ -\frac{ 47 \sqrt{ 9-x^2 } }{x} - 47\sin^{-1} \left( \frac{x}{3} \right) + C \] \[ -\frac{ 47 \sqrt{ 9-x^2 } }{x} - 47\tan^{-1} \left( \frac{x}{3} \right) + C \] \[ -\frac{ 47 \sqrt{ 9-x^2 } }{x} - 47\cos^{-1} \left( \frac{x}{3} \right) + C \]

Evaluate the integral \(\displaystyle{ \int{\frac{15}{x^2\sqrt{x^2+4}}dx}},\) using \(C\) as the constant of integration.

Evaluate the integral \(\displaystyle{ 43\int { \cos^3 x dx} },\) using \(C\) as the constant of integration.

Given \( a>0 ,\) evaluate the integral \( \displaystyle{ 41 \int { \frac{dx}{\sqrt{x^2 - a^2}} }}, \) using \(C\) as the constant of integration.

Concept Quizzes

Challenge Quizzes

Integration U-substitution - Trigonometric

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.