Class CBSE Class 12 Mathematics Definite Integrals Q #1706
KNOWLEDGE BASED 1 Marks 2026 AISSCE(Board Exam) MCQ SINGLE
If $\int_{0}^{1}\frac{dx}{e^{x}+e^{-x}}=\tan^{-1}e+k$, then the value of k is:
(A) e
(B) $\frac{\pi}{4}$
(C) $0$
(D) $-\frac{\pi}{4}$
Prev Next

More from this Chapter

SA
If $I_{1}=\int_{-\pi/4}^{\pi/4}\frac{dx}{1+\cos 2x}$ and $I_{2}=\int_{-1/2}^{1/2}|x|\,dx $, then show that $I_{1}-4I_{2}=0$.
SA
Evaluate : $\int_{0}^{\pi}\frac{e^{cos~x}}{e^{cos~x}+e^{-cos~x}}d~x$
LA
Evaluate: $\int_{0}^{\pi/2}\frac{x}{\sin x+\cos x}dx$.
LA
Evaluate: $\int_{0}^{\frac{\pi}{2}}sin~2x~tan^{-1}(sin~x)dx$
VSA
Evaluate: $\int_{0}^{\pi/2}sin~2x~cos~3x~dx$
View All Questions