{eq}\displaystyle \int sec\ x (sec\ x + tan\ x)\ dx {/eq} Indefinite Integral: The integral represented in the form {eq}\int f(x)dx {/eq} is called indefinite integral or in easy language integration without limits is known as indefinite integral. To find the given integral, we ...
Evaluate the integral:∫(secx)(secx+tanx)dx. Question: Evaluate the integral:∫(secx)(secx+tanx)dx. Indefinite Integral in Calculus: The indefinite integral for a given functionfof a real variablexis∫f(x)dx. ...
Integral of sec(x)*tan(x) by x: 1/cos(x)+C To compute the integral of sec(x) * tan(x) with respect to x, follow these steps: 1.Identify the integral: We want to compute the integral 2.Recall the derivative: Recognize that the derivative of sec(x) is sec(x) * tan(x). Th...
1.Identify the integral: We want to compute the integral ∫ sec(x)^2 dx. 2.Recall the antiderivative: The antiderivative of sec(x)^2 is a well-known result. It is: where C is the constant of integration. 3.Write the final result: Therefore, the result of the integral is: ...
Secant (sec) Cosecant (cos) Cotangent (cot) Trigonometric functions are used to find ratios between the sides of a right triangle. For example, given the following right triangle: Right triangle If using ∠y, the sin y = BC This is because the ratio for sin is opposite the angle over ...
3.4万 26 05:09 App 有理函数不定积分2 Integral of 1/(x^4 + 1) dx 2414 1 03:41 App 求不定积分 Integral of (x e^(2 x))/(4 x^2 + 4 x + 1) dx 1.1万 8 03:46 App 求不定积分∫sec^3 x dx 7269 10 06:13 App 求不定积分 Integral of Power[tanx, (3)^-1] dx 8.8万...
∫1secx+tanxdx= View Solution ∫secxlog(secx+tanx)dx= View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium ...
(∫ (sec)(x)+(tan)(x)dx) 相关知识点: 试题来源: 解析 Split the single integral into multipleintegrals. (∫ (sec)(x)dx+∫ (tan)(x)dx) The integral of ( (sec)(x)) with respect to ( x) is ( (ln)(|(sec)(x)+(tan)(x)|)). ( (ln)(|(sec)(x)+(tan)(x)|)+C+∫...
integral csc(x) dx = -ln|sec(x)+cot(x)| + C csc(x) = 1/sin(x) sec(x) = 1/cos(x) cot(x)= 1/tan(x) tan(x) = opposite/adjacent sin(x) = opposite/hypotenuse cos(x) = adjacent/hypotenuse d[cot(x)]/dx=-csc(x)^2 x^a*x^b = x^(a+b) x^a/x^b = x^(a-b...
3. {eq}\int [f(x) \cdot g(x)]\ dx = f(x)\int g(x) dx- \int \left[\frac{df(x)}{dx}\int g(x)\ dx \right]\ dx {/eq} Answer and Explanation:1 Consider two Integrals: {eq}P=\int_{0}^{\frac{\pi}{4}} \ln(\sec x)dx\\ Q=\int_{0}^{\frac{\pi}{4...