3 Questions
What is the integral of $e^{2x}$ with respect to $x$?
$\frac{1}{2}e^{2x} + C$
What is the integral of $\sin^2(x)$ with respect to $x$?
$\frac{x}{2} - \frac{1}{4}\sin(2x) + C$
What is the integral of $\frac{1}{x^2}$ with respect to $x$?
$-\frac{1}{x} + C$
Study Notes
Integration of Mathematical Functions
- The integral of e^(2x) with respect to x is (1/2)e^(2x) + C, where C is the constant of integration.
- The integral of sin^2(x) with respect to x is (x/2) - (sin(2x))/4 + C, where C is the constant of integration.
- The integral of 1/x^2 with respect to x is -1/x + C, where C is the constant of integration.
Test your integration skills with these practice questions on finding the integrals of exponential, trigonometric, and reciprocal functions with respect to x.
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