\(\int\frac{e^x(1 + x)}{cos^2(e^xx)}dx\) is equals to(A) – cot (exx

1.	\(\int\frac{e^x(1 + x)}{cos^2(e^xx)}dx\) is equals to(A) – cot (exx) + C (B) tan (xex) + C (C) tan (ex) + C (D) cot (ex) + C
Answer» Answer is (B) = ∫ sec²(xe^x). e^x(1 + x)dx = tan (xe^x) + C

\(\int\frac{e^x(1 + x)}{cos^2(e^xx)}dx\) is equals to(A) – cot (exx) + C (B) tan (xex) + C (C) tan (ex) + C (D) cot (ex) + C

Answer»

Answer is (B)

= ∫ sec²(xe^x). e^x(1 + x)dx

= tan (xe^x) + C