Integral is the result of the integration. For example, the integral of {eq}\sin{x} {/eq} is {eq}-\cos{x}+C {/eq}, where {eq}C {/eq} is the integral constant.Answer and Explanation: Given: $$y=\cos\left(2\pi\right) $$ The above expression can be simplified as below: ...
The integral rules are used to perform the integral easily. In fact, the integral of a function f(x) is a function F(x) such that d/dx (F(x)) = f(x). For example, d/dx (x2) = 2x and so ∫ 2x dx = x2+ C. i.e., the integration is the reverse process of differentiat...
2cos2x - cosx -1 = 0 Factor: (2cosx + 1)(cosx - 1) = 0 cosx = {-.5, 1} x = {...0, 120, 240, 360,...} degrees What is the answer to Evaluate e to the x sinx dx? Evaluate the integral? Use integration by parts. uv - int v du u = e^x du = e^x dv = si...
What is the value of∫142g(x)dx? Integration in Calculus: If a functiong(x)is continuous on the interval[a,b]then the definite integral ofg(x)fromatobis∫abg(x)dx. There are many formulas to solve integral proble...
y=sin2x+cos2x what is the value of dy/dx at x=pi/6 03:47 x=cos^2(theta)/2 then (dx)/(d theta) 02:30 y=bsin^-1ax then dy/dx= 03:36 if f(x)=e^(x)+4x then f'(x)= 02:43 if y=sin3x then (dy/dx)(x=0) is 02:27 f(x)=log(x^3) ,f'(x)=? 02:20 If...
Solution: Assume x2 = u ⇒ 2x dx = du. Substitute this into the integral, we have ∫2x cos (x2) dx = ∫cos u du = sin u + C = sin (x2) + C Antiderivative Product Rule The antiderivative product rule is also commonly called the integration by parts method of integration. It...
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Interval [0,2pi] Functions at what points of sin2x Receives its maximum value? View Solution Find the intervals where the following functions are (a) increasing and (b) decreasing.y=sin2x−cos2x,x∈[0,2π] View Solution Exams
Many problems, such as numerical integration and the numerical solution of differential equations involve computing sums with many terms. Because each addition can potentially introduce an error as large as .5 ulp, a sum involving thousands of terms can have quite a bit of rounding error. A ...
What is an integral of sin (\sqrt{x+4}) dx ? Find a particular function which is an indefinite integral for: integral of (7x + sec(x) tan(x)) dx. Evaluate the indefinite integral. (Use C for the constant of integration.) \int \frac{dx}{\cos^{2}(x)\sqrt[3]{1 + \tan(x...