∫f(x)∗g(x)dx=f(x)∫g(x)−∫(ddx(f(x))∗∫g(x))is known integration by parts. Basic formule used: ∫secxtanxdx=secx+c∫tanxdx=−ln|cosx|+cddxxn=nxn−1 Answer and Explanation:1 Given integral∫xsecxtanxdx ...
Find {eq}\int x \sec x \tan x \, \mathrm{d}x {/eq}. Integration: The integration by parts formula is given as follows: $$\int {\left( {u \cdot v} \right)dx} = u\int {vdx} - \int {\left( {{{\left( u \right)}^\prime }\left( {\int {vdx} } \right)} \right)...
(∫ (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 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...
Integral of sec(x)^2 by x: tan(x)+C To compute the integral of sec(x)^2 with respect to x, follow these steps: 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 ...
∫ sec x (tan x) dx = sec x + C ∫ csc x ( cot x) dx = – csc x + C ∫ (1/x) dx = ln |x| + C ∫ exdx = ex+ C ∫ axdx = (ax/ln a) + C ; a>0, a≠1 These integral formulas are equally important asdifferentiation formulas. Some other important integration for...
∫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 ...
CLR + – × ÷ ^ √ f(x) π ( ) √ 3√ 4√ n√ You can also input:• sqrt(…)• root(n, …) ln log10 logn exp ex abs |x| sin cos tan csc sec cot arcsin sin-1 arccos cos-1 arctan tan-1 arccsc csc-1 arcsec sec-1 arccot cot-1 sinh cosh tanh csch sech co...
Answer to: Evaluate the integral: integral of sec^4 x tan x dx. By signing up, you'll get thousands of step-by-step solutions to your homework...
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. ...