Find the general indefinite integral. ∫ sec t (sec t + tan t) dt

Find the general indefinite integral (use c for the constant of integration) $\int 8x^9\,dx$.

Evaluate the indefinite integral. (Use C for the constant of integration.)

$$\int \tan^2(\theta)\sec^2(\theta)\;d(\theta)$$

Evaluate the integral. ∫π 0 (5e^x + 3 sin x) dx

Verify by differentiation that the formula is correct. integral x/(a+bx)^1/2dx=2/3b^2(bx-2a)(a+bx)^1/2+C

What is wrong with the equation? integral pi/3 to pi sectheta tanthetadtheta=sectheta]pi/3 to pi=-3

Solve the equation.

$$(3 \tan x+\sqrt{3})(3 \tan x-\sqrt{3})=0 \text { on }[0,2 \pi)$$

Let $\mathbf{F}=(x, y, z)=\left(e^{x} \sin y\right) \mathbf{i}+\left(e^{x} \cos y\right) \mathbf{j}+z^{2} \mathbf{k}$. Evaluate the integral $\int_{C} \mathbf{F} \cdot d s$, where $\mathbf{c}(t)=\left(\sqrt{t}, t^{3}, e^{\sqrt{t}}\right), 0 \leq t \leq 1$.

write a sentence using the variation terminology of this section to describe the formula. Area of a triangle: A = 1/2 bh

Find f. f"(θ) = sin θ + cos θ, f(0) = 3, ḟ’(0) = 4

The Coast Guard cutter Angelica travels at 30 knots from its home port of Corpus Christi on a course of 95 for 2 hr and then changes to a course of 185° for 2 hr. Find the distance and the bearing from the Corpus Christi port to the boat.

What role does energy play in the diagram, and how is it represented?

Find the product. Write your answer using only positive exponents.

$$3^4•3^{-7}$$

Write as a single integral in the form integral a to b f(x)dx: integral -2 to 2 f(x)dx+integral 2 to 5 f(x)dx-integral -2 to -1 f(x)dx: