Evaluate ${\int }_0^{\frac{\pi }{6}}\cos xdx$, with $x$ in radians.

Evaluate ${\int }_1^4\left(2x^2-9\right)dx$.

Evaluate ${\int }_0^{\pi }\sin xdx$, with $x$ in radians.

Evaluate ${\int }_1^4\frac{1}{x}dx$.

Evaluate ${\int }_1^3\left(-6x^2+9\right)dx$.

Evaluate ${\int }_1^3\frac{4x^2+x}{x}dx$.

A student writes ${\int }_0^{3}4x^{2}dx={\left[\frac{4}{3}{x}^3\right]}_0^3=0-36=-36$. What is the error?

Evaluate ${\int }_1^5\left(3x-8\right)dx$.

Evaluate ${\int }_0^2\left(-2x-6\right)dx$.

Evaluate ${\int }_2^5\left(2x-4\right)dx$.

Evaluate ${\int }_{\frac{\pi }{6}}^{\frac{\pi }{2}}\cos xdx$, with $x$ in radians.

Evaluate ${\int }_0^2{e}^{x}dx$.

A student writes ${\int }_1^{2}6x^{2}dx=16$. What is the error?

Evaluate ${\int }_1^6\frac{1}{x^2}dx$.

Evaluate ${\int }_0^1{e}^{x}dx$.

Evaluate ${\int }_1^5\left(-4x^2-5\right)dx$.

Evaluate ${\int }_1^9\frac{1}{x^2}dx$.

Evaluate ${\int }_1^3\frac{x^2+2x}{x}dx$.

Evaluate ${\int }_0^{\frac{\pi }{2}}\sin xdx$, with $x$ in radians.

Evaluate ${\int }_0^{\frac{\pi }{3}}{\sec }^{2}xdx$, with $x$ in radians.

Evaluate ${\int }_0^{\frac{\pi }{2}}\cos xdx$, with $x$ in radians.

Evaluate ${\int }_1^7\frac{1}{x^2}dx$.

Evaluate ${\int }_2^6\frac{1}{x}dx$.

A student writes ${\int }_0^{1}6x^{2}dx={\left[12x\right]}_0^1=12$. What is the error?

Evaluate ${\int }_1^5\frac{1}{x^2}dx$.

Evaluate ${\int }_1^2\frac{1}{x^2}dx$.

Evaluate ${\int }_1^e\frac{1}{x}dx$.

Evaluate ${\int }_0^1\left(-5x^2-9\right)dx$.

Evaluate ${\int }_0^3\left(-6x-9\right)dx$.

Evaluate ${\int }_0^3\left(5x+4\right)dx$.