What is the primitive of sinx/cos^2x? Homework Statement ∫e^(-x)(1-tanx)secx dx 2. Attempt at a solution I know ∫e^x(f(x)+f'(x))=e^x f(x) and I intuitively know f(x) could be secx here and therefore f'(x) will be secxtanx but I can't figure out how to reach ...
The rational integral determined by a constant over an irreducible polynomial of degree two, can be calculated using the result, ∫f′(x)1+f2(x)dx=arctan(f(x))+C.For this it will be necessary to complete squares the polynomial of the denominator....
(Use C for the constant of integration.) Integral of cos^9(x) sin(x) dx. Evaluate the integral. (Use C for the constant of integration.) Integral of 12/(3x + x*sqrt(x)) dx. Evaluate the integral. (Use C for the constant of integration.) Integral of...
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Use integration by parts to express: I (n) = ∫(sin)^n (x) dx in terms of I (n-2) Let u = sinn-1 x du = (n-1)sinn-2 x cos x dx v = - cos x dv = sinx dx so integration by parts give: ∫〖sin〗^n x dx= -cos〖x 〖sin〗^(n-1) x+(n-1) ∫〖sin〗^...
Log In Sign Up Subjects Math Calculus Trigonometric substitution Evaluate the integral. (Use C for the constant of integration.) ∫tan5(4x)sec4(4x)dx Question: Evaluate the integral. (Use C for the constant of integration.) ∫tan5(4x)sec4(4x...
(Use C for the constant of integration.) 7x cos 8x dx Evaluate the integral. (Use C for the constant of integration.) 5 tan^3 (x) sec (x) dx Evaluate the integral. (Use C for the constant of integration.) Evaluate the integral. 5\int\sqrt{1-sinx} dx ( use C for...
An initial-value problem is a differential equation where an initial condition is also given about the variables. To solve this problem, we first solve the differential equation and then we apply the given condition to find the value of the arbi...
(Use {eq}C {/eq} for the constant of integration.) {eq}\displaystyle \int t^5 \ln(t) \, \mathrm{d}t {/eq} Integration by Parts: We integrate products of functions by utilizing integration by parts, which is given by the following formula: {eq}\displaysty...