Let f(x)=logesecx. Then f′(x)=secxsecxtanx=tanx.
The integrand is ex[f′(x)+f(x)].
Using ∫ex[f(x)+f′(x)]dx=exf(x)+C, the result is exlogesecx+C.
∫ex(tanx+logesecx)dx=
Held on 22 May 2023 · Verified 13 Jul 2026.
exlogesecx+C
logesecx+C
extanx+C
exsecx+C
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
The derivative of x³ + 2x² - 5x + 1 is:
In which of the following interval the function $f(x) = x^x, x > 0$ is strictly increasing?
$\int \sin x \sin 2x \sin 3x dx$ is equal to
The differential equation representing the family of curves $y = Ax + \frac{B}{x}$, $x \neq 0$ where A and B are arbitrary constants, is given by
For the function $f(x) = -2x^3 + 3x^2 + 36x - 10$, which of the following is/are true? (A) $f$ is increasing in $(-\infty, -2)$ (B) $f$ is increasing in $(-2, 3)$ (C) $f$ is decreasing in $(-\infty, -2)$ (D) $f$ is decreasing in $(3, \infty)$ Choose the correct answer from the options given below:
Work through every CUET UG Calculus PYQ, year by year.